Applied Mathematics

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.


Christopher Tisdell

Editorial Board Member of Applied Mathematics

Senior Lecturer, School of Mathematics & Statistics, The University of New South Wales, Australia

Research Areas

Ordinary Differential Equations, Difference Equations, Dynamical Systems

Education

2002Ph.DMathematics, The University of Queensland (UQ), Brisbane, Australia
1998B.A.Mathematics, UQ, Brisbane, Australia

Experience

2008-presentSenior Lecturer in Mathematics, School of Mathematics & Statistics, UNSW, Sydney
2003-2008Lecturer in Mathematics, School of Mathematics & Statistics, UNSW, Sydney
2002-2003Associate Lecturer in Mathematics, School of Mathematics, UNSW, Sydney
2002Lecturer in Mathematics, Department of Mathematics, UQ, Brisbane
2001Associate Lecturer in Mathematics, Department of Mathematics, UQ, Brisbane

Academic Achievement

Tisdell, C. C., Ethel Raybould Visiting Fellowship, University of Queensland, 2006, Chief Investigator
Plenary speaker, First International Workshop on Dynamic Equations on Time Scales, Istanbul, Turkey, 2005
Invited speaker, Annual Meeting of the American Mathematical Society, 2003-7
Invited speaker, Annual Meeting of the Australian Mathematical Society, 2005-6
University of Queensland Postgraduate Research Scholarship
Australian Postgraduate Research Scholarship

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  MR2783154 Ehrnström , Mats; Tisdell, Christopher C.; Wahlén, Erik Asymptotic integration of second-order nonlinear difference equations. Glasg. Math. J. 53 (2011), no. 2 , 223–243, 39A30 (47N20) PDF Clipboard Journal Article.
[2]  MR2783348 Tian, Yu; Tisdell, Christopher C.; Ge, Weigao The method of upper and lower solutions for discrete BVP on infinite intervals. J. Difference Equ. Appl. 17 (2011), no. 3 , 267–278, 39A22 (34B40 39A12) PDF Clipboard Journal Article.
[3]  MR2640308 (2011c:34228) Akin-Bohner, Elvan; Raffoul, Youssef N.; Tisdell, Christopher Exponential stability in functional dynamic equations on time scales. Commun. Math. Anal. 9 (2010), no. 1 , 93–108, 34N05 (34K20) PDF Clipboard Journal Article.
[4]  MR2607298 (2011a:93020) Nieto, Juan J.; Tisdell, Christopher C. On exact controllability of firstorder impulsive differential equations. Adv. Difference Equ. 2010, Art. ID 136504, 9 pp, 93B05 (34A37 34H05) PDF Clipboard Journal Article.
[5]  MR2558849 (2010k:34060) Rudd, Matthew; Tisdell, Christopher C. Positive symmetric solutions of singular semipositone boundary value problems. Electron. J. Qual. Theory Differ. Equ. 2009, Special Edition I, No. 24, 10 pp, 34B18 (34B16 35J75) PDF Clipboard Journal Article.
[6]  MR2517606 (2010e:34045) Dai, Qiuyi; Tisdell, Christopher C. Nondegeneracy of positive solutions to homogeneous second-order differential systems and its applications. Acta Math. Sci. Ser. B Engl. Ed. 29 (2009), no. 2 , 435–446, 34B18 PDF Clipboard Journal Article.
[7]  MR2490244 Tisdell, Christopher C.; Zaidi, Atiya H. Successive approximations to solutions of dynamic equations on time scales. Comm. Appl. Nonlinear Anal. 16 (2009), no. 1 , 61–87, 34A12 (39A10) PDF Clipboard Journal Article.
[8]  MR2548121 (2010f:45006) Kulik, Tomasia; Tisdell, Christopher C. Volterra integral equations on time scales: basic qualitative and quantitative results with applications to initial value problems on unbounded domains. Int. J. Difference Equ. 3 (2008), no. 1 , 103–133. (Reviewer: Youssef N. Raffoul), 45D05 (26E70 34N05) PDF Clipboard Journal Article.
[9]  MR2498899 (2010c:34026) Chen, Jinhai; O'Regan, Donal; Tisdell, Christopher C. Some results on periodic solutions for even order differential equations. Commun. Appl. Anal. 12 (2008), no. 1 , 23– 27, 34B15 (34C25) PDF Clipboard Journal Article.
[10]  MR2466626 Du, Zengji; Lin, Xiaojie; Tisdell, Christopher C. A multiplicity result for $p$p-Lapacian boundary value problems via critical points theorem. [A multiplicity result for $p$p-Laplacian boundary value problems via critical points theorem] Appl. Math. Comput. 205 (2008) , no. 1, 231–237, 34B15 (34L05) PDF Clipboard Journal Article.
[11]  MR2458382 (2009k:34020) Boucherif, Abdelkader; Tisdell, Christopher C. Existence of periodic and non-periodic solutions to systems of boundary value problems for first-order differential inclusions with super-linear growth. Appl. Math. Comput. 204 (2008), no. 1 , 441–449. (Reviewer: Daniel C. Biles), 34A60 (34B15 34C25 47H11 47N20) PDF Clipboard Journal Article.
[12]  MR2437628 (2009f:34007) Erbe, L.; Peterson, A.; Tisdell, Christopher C. Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales. Nonlinear Anal. 69 (2008), no. 7 , 2303–2317, 34A12 (39A10) PDF Clipboard Journal Article.
[13]  MR2411064 (2009c:34063) Hilscher, Roman; Tisdell, Christopher C. Terminal value problems for first and second order nonlinear equations on time scales. Electron. J. Differential Equations 2008, No. 68, 21 pp. (Reviewer: Bilender P. Allahverdiev), 34B40 (34C11 39A10) PDF Clipboard Journal Article.
[14]  MR2401364 (2009d:39006) Tisdell, Christopher C.; Zaidi, Atiya Basic qualitative and quantitative results for solutions to nonlinear, dynamic equations on time scales with an application to economic modelling. Nonlinear Anal. 68 (2008), no. 11 , 3504–3524. (Reviewer: Youssef N. Raffoul), 39A10 (39A12 91B62) PDF Clipboard Journal Article.
[15]  MR2374095 (2008i:34031) Amster, P.; De Nápoli, P.; Tisdell, C. C. Variational methods for two resonant problems on time scales. Int. J. Difference Equ. 2 (2007), no. 1 , 1–12. (Reviewer: Ferhan M. Atıcı), 34B15 (39A10) PDF Clipboard Journal Article.
[16]  MR2366042 (2009a:34074) Amster, Pablo; Tisdell, Christopher C. Two classical periodic problems on time scales. Electron. J. Differential Equations 2007, No. 149, 12 pp. (electronic). (Reviewer: L. Erbe), 34C25 (34B15 39A10) PDF Clipboard Journal Article.
[17]  MR2356343 (2008g:34040) Agarwal, Ravi P.; Thompson, Harold B.; Tisdell, Christopher C. On the existence of multiple solutions to boundary value problems for second order ordinary differential equations. Dynam. Systems Appl. 16 (2007), no. 3 , 595–609, 34B15 PDF Clipboard Journal Article.
[18]  MR2332778 (2009b:45007) Agarwal, Ravi P.; O'Regan, Donal; Tisdell, Christopher C.; Wong, Patricia J. Y. Constant-sign solutions of a system of Volterra integral equations. Comput. Math. Appl. 54 (2007), no. 1 , 58–75. (Reviewer: Daria Bugajewska), 45D05 PDF Clipboard Journal Article.
[19]  MR2328706 (2008d:34043) Nieto, Juan J.; Tisdell, Christopher C. Existence and uniqueness of solutions to first-order systems of nonlinear impulsive boundary-value problems with sub-, superlinear or linear growth. Electron. J. Differential Equations 2007, No. 105, 14 pp. (electronic), 34B37 (34B15) PDF Clipboard Journal Article.
[20]  MR2325376 (2009g:39024) Rachůnkov , Irena; Tisdell, Christopher C. Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions. Nonlinear Anal. 67 (2007) , no. 4, 1236–1245, 39A11 (34B15 39A12) PDF Clipboard Journal Article.
[21]  MR2323285 (2008e:34038) Henderson, Johnny; Tisdell, Christopher C. Dynamic boundary value problems of the second-order: Bernstein-Nagumo conditions and solvability. Nonlinear Anal. 67 (2007), no. 5 , 1374–1386. (Reviewer: Elvan Akın-Bohner), 34B15 (39A10) PDF Clipboard Journal Article.
[22]  MR2318448 (2008e:34077) Bohner, Martin; Tisdell, Christopher C. Oscillation and nonoscillation of forced second order dynamic equations. Pacific J. Math. 230 (2007), no. 1 , 59–71. (Reviewer: Pavel Řehák), 34C10 (39A10) PDF Clipboard Journal Article.
[23]  MR2314716 (2008a:34042) Rudd, Matthew; Tisdell, Christopher C. On the solvability of twopoint, second-order boundary value problems. Appl. Math. Lett. 20 (2007), no. 7 , 824–828, 34B15 PDF Clipboard Journal Article.
[24]  MR2313690 (2008k:34066) Chen, Jinhai; Tisdell, Christopher C.; Yuan, Rong On the solvability of periodic boundary value problems with impulse. J. Math. Anal. Appl. 331 (2007), no. 2 , 902–912, 34B15 (34B37) PDF Clipboard Journal Article.
[25]  MR2306036 (2008c:39012) Anderson, D. R.; Rachůnkov , I.; Tisdell, C. C. Solvability of discrete Neumann boundary value problems. J. Math. Anal. Appl. 331 (2007), no. 1 , 736–741. (Reviewer: B. G. Pachpatte), 39A11 PDF Clipboard Journal Article.
[26]  MR2292700 (2007m:34026) Erbe, Lynn; Tisdell, Christopher C.; Wong, Patricia J. Y. On systems of boundary value problems for differential inclusions. Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 3 , 549–556. (Reviewer: Marlène Frigon), 34A60 (34B10 34B15 47N20) PDF Clipboard Journal Article
[27]  MR2278433 (2007j:34017) Anderson, Douglas R.; Tisdell, Christopher C. Third-order nonlocal problems with sign-changing nonlinearity on time scales. Electron. J. Differential Equations 2007, No. 19, 12 pp, 34B10 (39A10) PDF Clipboard Journal Article
[28]  MR2330786 Tisdell, Christopher C. Systems of differential inclusions in the absence of maximum principles and growth conditions. Discuss. Math. Differ. Incl. Control Optim. 26 (2006), 129–141, 34A60 (34B10 34B15) PDF Clipboard Journal Article
[29]  MR2296496 (2007m:34044) Dai, Qiuyi; Tisdell, Christopher C. Existence of solutions to firstorder dynamic boundary value problems. Int. J. Difference Equ. 1 (2006), no. 1 , 1–17. (Reviewer: Martin J. Bohner), 34B15 (39A10) PDF Clipboard Journal Article
[30]  MR2287290 (2007k:34062) Tisdell, Christopher C. Existence and uniqueness to nonlinear dynamic boundary value problems. Cubo 8 (2006), no. 3 , 11–24. (Reviewer: Hua Luo), 34B15 (39A10) PDF Clipboard Journal Article
[31]  MR2277651 (2007f:39034) Tisdell, Christopher C. On first-order discrete boundary value problems. J. Difference Equ. Appl. 12 (2006), no. 12 , 1213–1223, 39A11 (34B15 39A12) PDF Clipboard Journal Article
[32]  MR2260183 (2007g:34086) Tisdell, Christopher C. Existence of solutions to first-order periodic boundary value problems. J. Math. Anal. Appl. 323 (2006), no. 2 , 1325–1332. (Reviewer: Alessandro Fonda), 34C25 (34B15 47N20) PDF Clipboard Journal Article
[33]  MR2240828 (2007e:34040) Tisdell, Christopher C. On the solvability of nonlinear first-order boundary-value problems. Electron. J. Differential Equations 2006, No. 80, 8 pp. (electronic). (Reviewer: Maria Patrizia Pera), 34B15 (34A40 47H10 47N20) PDF Clipboard Journal Article
[34]  MR2237260 (2007b:39022) Rachůnkov , Irena; Tisdell, Christopher C. Existence of non-spurious solutions to discrete boundary value problems. Aust. J. Math. Anal. Appl. 3 (2006), no. 2 , Art. 6, 9 pp, 39A11 (34B15 39A12) PDF Clipboard Journal Article
[35]  MR2215849 (2007a:34057) Erbe, L.; Peterson, A.; Tisdell, C. C. Monotone solutions of dynamic systems on time scales. J. Difference Equ. Appl. 12 (2006), no. 3-4 , 343–355. (Reviewer: Stefan Siegmund), 34C11 (39A10) PDF Clipboard Journal Article
[36]  MR2212083 (2007j:34018) Davis, J. M.; Henderson, J.; Karna, B.; Sheng, Q.; Tisdell, C. C. Existence of solutions for multipoint boundary value problems for $n$nth order differential equations. Nonlinear Stud. 13 (2006), no. 1 , 15–21, 34B10 (34B15) PDF Clipboard Journal Article
[37]  MR2194094 (2007b:34046) Erbe, Lynn; Ma, Ruyun; Tisdell, Christopher C. On two point boundary value problems for second order differential inclusions. Dynam. Systems Appl. 15 (2006) , no. 1, 79–88. (Reviewer: Luisa Malaguti), 34B15 (34A60) PDF Clipboard Journal Article
[38]  MR2194092 (2006m:34063) Eloe, Paul W.; Kaufmann, Eric R.; Tisdell, Christopher C. Multiple solutions of a boundary value problem on an unbounded domain. Dynam. Systems Appl. 15 (2006) , no. 1, 53–63. (Reviewer: Ravi P. Agarwal), 34B40 (34C11 47N20) PDF Clipboard Journal Article
[39]  MR2217094 (2006m:34020) Bohner, Martin; Tisdell, Christopher C. Second order dynamic inclusions. J. Nonlinear Math. Phys. 12 (2005), suppl. 2 , 36–45. (Reviewer: Aurelian Cernea), 34A60 (39A10) PDF Clipboard Journal Article
[40]  MR2201690 (2006i:39022) Raffoul, Youssef N.; Tisdell, Christopher C. Positive periodic solutions of functional discrete systems and population models. Adv. Difference Equ. 2005, no. 3 , 369–380. (Reviewer: Christian Pötzsche), 39A11 (34B18 39A10 92D25) PDF Clipboard Journal Article
[41]  MR2198748 (2006i:39005) Stehlík, Petr; Tisdell, Christopher C. On boundary value problems for second-order discrete inclusions. Bound. Value Probl. 2005, no. 2 , 153–163. (Reviewer: Mouffak Benchohra), 39A10 (34A60 34B15) PDF Clipboard Journal Article
[42]  MR2191606 (2006i:34047) Tisdell, Christopher C.; Tan, Lit Hau On vector boundary value problems without growth restrictions. JIPAM. J. Inequal. Pure Appl. Math. 6 (2005), no. 5 , Article 137, 10 pp. (electronic). (Reviewer: Tadeusz Pruszko), 34B15 PDF Clipboard Journal Article
[43]  MR2178767 (2006g:34038) Ma, Ruyun; Tisdell, Christopher C. Positive solutions of singular sublinear fourth-order boundary value problems. Appl. Anal. 84 (2005), no. 12 , 1199–1220. (Reviewer: P. K. Palamides), 34B16 (34B15 34B18) PDF Clipboard Journal Article
[44]  MR2177855 (2007e:39002) Erbe, Lynn; Peterson, Allan; Tisdell, Christopher Existence of solutions to second-order BVPs on time scales. Appl. Anal. 84 (2005), no. 10 , 1069–1078. (Reviewer: Ferhan M. Atıcı), 39A10 (34B15) PDF Clipboard Journal Article
[45]  MR2174553 (2006d:34134) Eloe, Paul W.; Raffoul, Youssef N.; Tisdell, Christopher C. Existence, uniqueness and constructive results for delay differential equations. Electron. J. Differential Equations 2005, No. 121, 11 pp. (electronic), 34K10 (34K07) PDF Clipboard Journal Article
[46]  MR2168580 (2006d:39004) Tisdell, Christopher C.; Thompson, H. B. On the existence of solutions to boundary value problems on time scales. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 12 (2005), no. 5 , 595–606. (Reviewer: Elvan Akın-Bohner), 39A10 (34B15 39A12) PDF Clipboard Journal Article
[47]  MR2162392 (2006e:34033) Henderson, J.; Tisdale, C. C. Five-point boundary value problems for third-order differential equations by solution matching. Math. Comput. Modelling 42 (2005), no. 1-2, 133–137. (Reviewer: S. Umamaheswaram), 34B10 (34B15) PDF Clipboard Journal Article
[48]  MR2150108 (2006b:34046) Amster, P.; Rogers, C.; Tisdell, C. C. Existence of solutions to boundary value problems for dynamic systems on time scales. J. Math. Anal. Appl. 308 (2005), no . 2, 565–577. (Reviewer: Elvan Akın-Bohner), 34B15 (39A10) PDF Clipboard Journal Article
[49]  MR2149483 (2006a:39005) Hoffacker, J.; Tisdell, C. C. Stability and instability for dynamic equations on time scales. Comput. Math. Appl. 49 (2005), no. 9-10 , 1327–1334. (Reviewer: Elvan Akın-Bohner), 39A10 (34D20) PDF Clipboard Journal Article
[50]  MR2111960 (2005j:34026) Henderson, Johnny; Karna, Basant; Tisdell, Christopher C. Existence of solutions for three-point boundary value problems for second order equations. Proc. Amer. Math. Soc. 133 (2005), no. 5 , 1365–1369 (electronic), 34B10 (34B15) PDF Clipboard Journal Article
[51]  MR2103463 (2005f:34035) Henderson, J.; Tisdell, C. C.; Yin, W. K. C. Uniqueness implies existence for three-point boundary value problems for dynamic equations. Appl. Math. Lett. 17 (2004), no. 12 , 1391–1395. (Reviewer: Martin J. Bohner), 34B10 (39A10) PDF Clipboard Journal Article
[52]  MR2102562 (2005g:34043) Tisdell, Christopher C.; Drábek, Pavel; Henderson, Johnny Multiple solutions to dynamic equations on time scales. Comm. Appl. Nonlinear Anal. 11 (2004), no. 4 , 25– 42, 34B15 (39A10 47N20) PDF Clipboard Journal Article
[53]  MR2100729 (2005g:39021) Peterson, Allan C.; Tisdell, Christopher C. Boundedness and uniqueness of solutions to dynamic equations on time scales. J. Difference Equ. Appl. 10 (2004), no . 13-15, 1295–1306. (Reviewer: Qi Ru Wang), 39A11 (34A12 34C11) PDF Clipboard Journal Article
[54]  MR2094600 (2005h:34036) Henderson, Johnny; Tisdell, Christopher C. Boundary data smoothness for solutions of three point boundary value problems for second order ordinary differential equations. Z. Anal. Anwendungen 23 (2004), no. 3 , 631–640, 34B10 (34A12) PDF Clipboard Journal Article
[55]  MR2074436 (2005g:34036) Peterson, A. C.; Raffoul, Y. N.; Tisdell, C. C. Three point boundary value problems on time scales. J. Difference Equ. Appl. 10 (2004), no. 9 , 843–849. (Reviewer: Ravi P. Agarwal), 34B10 (39A12) PDF Clipboard Journal Article
[56]  MR2064085 (2005f:39053) Henderson, Johnny; Peterson, Allan; Tisdell, Christopher C. On the existence and uniqueness of solutions to boundary value problems on time scales. Adv. Difference Equ. 2004, no. 2 , 93–109. (Reviewer: Klara G. Janglajew), 39A12 (34B40 39A05) PDF Clipboard Journal Article
[57]  MR2026936 (2004i:34038) Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C. On two-point boundary value problems in multi-ion electrodiffusion. J. Math. Anal. Appl. 289 (2004), no. 2 , 712– 721. (Reviewer: Marlène Frigon), 34B15 (82D99) PDF Clipboard Journal Article
[58]  MR2020531 (2004i:34040) Henderson, Johnny; Tisdell, Christopher C. Topological transversality and boundary value problems on time scales. J. Math. Anal. Appl. 289 (2004), no. 1 , 110–125. (Reviewer: Stefan Siegmund), 34B15 (47J05) PDF Clipboard Journal Article
[59]  MR2060245 (2005e:39047) Mawhin, J.; Tisdell, C. C. A note on the uniqueness of solutions to nonlinear, discrete, vector boundary value problems. Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday. Vol. 1, 2, 789–798, Kluwer Acad. Publ., Dordrecht, 2003. (Reviewer: Rodrigo L. Pouso), 39A12 (34B15) PDF Clipboard Series Chapter
[60]  MR2015731 (2004h:39017) Tisdell, C. C. The uniqueness of solutions to discrete, vector, twopoint boundary value problems. Appl. Math. Lett. 16 (2003), no. 8 , 1321–1328. (Reviewer: Natali Hritonenko), 39A05 (34B05) PDF Clipboard Journal Article
[61]  MR2000608 (2004h:39001) Agarwal, R. P.; Thompson, H. B.; Tisdell, C. C. Difference equations in Banach spaces. Advances in difference equations, IV. Comput. Math. Appl. 45 (2003), no. 6-9 , 1437–1444, 39A05 (74K05) PDF Clipboard Journal Article
[62]  MR2000607 Agarwal, R. P.; Thompson, H. B.; Tisdell, C. C. Three-point boundary value problems for second-order discrete equations. Advances in difference equations, IV. Comput. Math. Appl. 45 (2003), no. 6-9 , 1429–1435, 39A05 PDF Clipboard Journal Article
[63]  MR1938194 (2003j:39010) Thompson, H. B.; Tisdell, C. C. The nonexistence of spurious solutions to discrete, two-point boundary value problems. Appl. Math. Lett. 16 (2003), no. 1 , 79–84, 39A05 (34B15) PDF Clipboard Journal Article
[64]  MR1913281 (2003e:39015) Thompson, H. B.; Tisdell, C. Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations. Appl. Math. Lett. 15 (2002), no. 6 , 761–766, 39A10 (34B15) PDF Clipboard Journal Article
[65]  MR1859593 (2002m:39007) Drábek, Pavel; Thompson, H. Bevan; Tisdell, Christopher Multipoint boundary value problems for discrete equations. Comment. Math. Univ. Carolin. 42 (2001), no. 3 , 459–468. (Reviewer: Andrey Ponomaryov), 39A10 PDF Clipboard Journal Article
[66]  MR1835829 (2002d:34030) Thompson, H. B.; Tisdell, C. Three-point boundary value problems for second-order, ordinary, differential equations. Math. Comput. Modelling 34 (2001), no. 3-4 , 311– 318. (Reviewer: P. W. Eloe), 34B15 (34B10) PDF Clipboard Journal Article
[67]  MR1775855 (2001k:34041) Thompson, H. B.; Tisdell, Christopher Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations. J. Math. Anal. Appl. 248 (2000), no. 2 , 333–347. (Reviewer: Andrey Ponomaryov), 34B15 (34A26 39A12) PDF Clipboard Journal Article
[68]  MR1702842 (2000e:34025) Thompson, H. B.; Tisdell, C. C. Nonlinear multipoint boundary value problems for weakly coupled systems. Bull. Austral. Math. Soc. 60 (1999), no. 1 , 45–54. (Reviewer: Johnny Henderson), 34B10 (34B15) PDF Clipboard Journal Article