International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.

Vasil Angelov

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Professor, University of Mining and Geology "St.Ivan Rilski", Bulgaria

Research Areas

Functional Differential Equations, Fixed Point Theory, Electromagnetic Field Theory, Transmission Lines and Nonlinear Circuits Theory

Education

1981PhDThesis entitled "On the fundamental theory of neutral functional-differential equations in Banach spaces".
1973BachlorFaculty of Mathematics and Mechanics of the Sofia University

Experience

2007-presentProfessor, Department of Mathematics, Faculty of Mine Electro-mechanics , University of Mining and Geology
1985-2007Associate Professor, Department of Mathematics, Faculty of Mine Electro-mechanics, University of Mining and Geology
1983-1985Senior Assistant Professor, at the same Department
1978-1983Assistant Professor, Department of Inorganic, Analytical and Physical Chemistry and Mathematics, Faculty of Pharmacy, Medical University, Sofia
1976-1977Mathematician-Faculty of Mathematics and Mechanics, Sofia University

Academic Achievement

Gold Medal of the American Biographical Institute, Ghost of the World Forum 2010, University of Cambridge

Membership

Member of the Union of Bulgarian Mathematicians(1977)
Member of American Mathematical Society(1981-1985, 1992)
Member of New York Academy of Sciences(1994-1996)

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Fixed Points in Uniform Spaces and Applications. Babes-Bolyia University, Cluj University Press, Cluj-Napoca, 2009.
[2]  Periodic Regimes for Distortionless Lossy Transmission Lines Terminated by Parallel Connected RCL-Loads. In "Transmiision Lines:Theory, Types and Applications" Nova Science Publishers, New York, 2010.
[3]  ANGELOV V. G., D.D. BAINOV, Boundary value problem for functional differential equations with parameter in Banach space. Proceedings of the VIII-th ICNO Prague, (1978), 759-764.
[4]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of solutions of the generalized Cauchy problem for some nonlinear integro-differential equations in Banach space. Archivum Math., 4, Scripta Fac. Sci. Nat. Ujep Brunesis, 15 (1979), 185-192 (in Russian).
[5]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of solutions of the generalized Cauchy problem for some nonlinear integro-differential equations in a space of summable functions. Bull. Math. Soc. Sci. de le R. S. Roumanie, 23 (71), №2, (1979), 117-123 (in Russian).
[6]  ANGELOV V. G., D.D. BAINOV, A boundary value problem for functional-differential equation with a parameter in Banach space. Proceedings of VIII-th Spring Conference of BMS, Sunny Beach, (1979), 21-34.
[7]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of solution of nonlinear functional equations in-space. Izvestia Akademii Nauk Kazakhskoi SSR, ser Fiz.-Mat., №3, (1979), 1-5 (in Russian)
[8]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of a global solution of some integral-functional equations in-space. Anal. Stiint. Univ. "Al. Cuza", Iasi, v. 26, ser. Ia, f.1, (1980), 77-83 (in Russian).
[9]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of solution of nonlinear functional equations of m-th order in-space. Revue Roumaine de Math. Pures et Appl., v. 25, №10, (1980), 1453-1458 (in Russian)
[10]  ANGELOV V. G., D.D. BAINOV, On the existence and uniqueness of positive solutions of neutral type differential functional equations. Bull. Math. Soc. Sci. de la R. S. Roumaine,v. 24 (72), №1 (1980), 11-19. (in Russian)
[11]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of the global solution of the initial value problem for neutral type differential functional equations in Banach space. J. Nonlinear Analysis, TMA, 4, №1, (1980), 93-103.
[12]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of the global solution of nonlinear functional equations of m-th order in Banach space. Annual University, Applied Mathematics, Sofia, 16, №1, (1980), 123-134. (in Russian)
[13]  ANGELOV V. G., Bounded solutions of functional differential equations of the superneutral type. Funkcialaj Ekvacioj (serio Internacia), v.24, №1, (1981), 11-22.
[14]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of a global solution of some integral-functional equations. Sibirski Math. Journal, v. XXII, N2 (1981), 31-37 (in Russian).
[15]  ANGELOV V. G., Some neutral equations with a control parameter. Bull. Austral. Math. Soc., 23, №3, (1981), 383-394.
[16]  ANGELOV V. G., D.D. BAINOV, Absolutely continuous global solutions of initial value problem for neutral type differential functional equations of mixed type. Rend. Circolo Mat. di Palermo, 30, s. II (1981), 435-452.
[17]  ANGELOV V. G., D.D. BAINOV, On the existence and uniqueness of a bounded solution of neutral type functional-differential equations in Banach space. Arch. Math., 2, Scripta Fac. Sci. Mat. Ujep Brunesis, 17 (1981), 129-138. (in Russian)
[18]  ANGELOV V. G., D.D. BAINOV, On the existence and uniqueness of a global solution of an inetegro-differential equation in the elastic theory, Annual University, Applied Mathematics, Sofia, 17, N2 (1981), 129-138. (in Russian)
[19]  ANGELOV V. G., D.D. BAINOV, Existence and uniqueness of a global solution of a class of neutral type functional differential equations in Banach space. Acta Math. Acad. Sci. Hungaricae. 37 (1-3) (1981). 89-94. (in Russian)
[20]  ANGELOV V. G., D.D. BAINOV, Bounded solutions of functional differential equations of the neutral type with infinite delays. Proc. Royal Soc. of Edinburgh. 93A (1982), 33-39.
[21]  ANGELOV V. G., D.D. BAINOV, On the functional differential equations with "maximums" Applicable Analysis, 16 (1983), 187-194.
[22]  ANGELOV V. G., D.D. BAINOV, Absolutely continuous solutions of some functional extremal equations of the neutral type. Tamkang J. Math., 14, №1 (1983), 35-45.
[23]  ANGELOV V. G., D.D. BAINOV, Positive absolutely continuous solutions of neutral functional differential equations. Riv. Mat. Parma. Univ. Parma, (4), 9 (1983), 161-166.
[24]  ANGELOV V. G., On the neutral equations in a complex domain. Annual University. Appl. Math., Sofia, 20, №1 (1984), 21-28.
[25]  ANGELOV V. G., A fixed point results in a uniform space. Proc. of the 13th Spring Conf. of the Union of Bulgarian Mathematicians, (1984), 101-105.
[26]  ANGELOV V. G., An extension of Edelstein's theorem to a uniform spaces. Aequationes Mathematicae, 29 (1985), 145-149.
[27]  ANGELOV V. G. Common fixed points of mappings in uniform spaces. Izvestia AN Kazakhskoi SSR, ser. fiz-mat., №1 (1985), 8-13. (in Russian).
[28]  ANGELOV V. G., On a A. A. Ivanov's Theorem in a uniform space. Annual Universities. Applied Mathematics, Sofia, 21. №3, (1985), 199-201. (in Russian).
[29]  ANGELOV V. G., A singular boundary value problem for neutral equations. International J. Math. Math. Sci., 8, №2 (1985), 397-402.
[30]  ANGELOV V. G., On the nonlinear contractions in Frechet L-space. Annual University. Applied Math., Sofia 21, №1 (1985), 71-76.
[31]  ANGELOV V. G., A reuniformization for contractive mappings in uniform spaces. Math. Nachrichten, v. 127 (1986), 211-221.
[32]  ANGELOVA D. C., V. G. ANGELOV, On oscillation and nonoscillation in a second order functional differential system. Tamkang J. Math., v. 17, №1, (1986), 113-130.
[33]  ANGELOV V. G., Fixed point theorem in uniform spaces and applications. Czechoslovak Math. J., 37 (112), (1987), 19-33.
[34]  ANGELOV V. G., On the three-dimensional two-body problem of classical electrodynamics. Comtes Rendus de l'Academie Bulgare des Sciences, 41, N8 (1988), 17-20.
[35]  ANGELOV V. G., A surjective result for nonlinear mappings on uniform spaces and applications. Revista Colombiana de Matematicas, 22 (1988), 51-60.
[36]  ANGELOV V. G., A converse to a contraction mapping theorem in uniform spaces. J. Nolinear Anal, TMA 12, №10 (1988), 989-996.
[37]  ANGELOV V. G., A reuniformization of "Dynamical systems ansamble" in uniform spaces. Math. Balkanica, New Series, v.3, №1 (1989), 67-90.
[38]  ANGELOV V. G. Fixed points of densifying mappings in locally convex spaces and applications. J. Inst. Math. &Computer Sci. (Calcutta), v. 2 (1989), 22-39.
[39]  ANGELOV V. G., On the Synge's equations in a three-dimensional two-body problem of a classical electrodynamics. J. Math. Anal. Appl v. 151. №2, (1990), 488-511.
[40]  ANGELOV V. G., J-non-expansive mappings in uniform spaces and applications. Bull. Austr. Math. Soc. v.43 (1991), 331-339.
[41]  ANGELOV V. G., A coincidence theorem in uniform spaces and applications. Math. Balkanica, v. 5, №1 (1991), 47-65.
[42]  ANGELOV V. G., Uniform asymptotic stability and contractive semigroups of mappings in uniform spaces. Acta Math. Hungarica, v 59, №3-4, (1992), 345-353.
[43]  ANGELOV V. G., A continuous dependence of fixed points of Ф-contractive mappings in uniform spaces. Archivum Mathematicum (Brno), v. 28, N3-4 (1992), 155-161.
[44]  ANGELOV V. G., The N-body problem of classical electrodynamics. Physics. Essays v. 6, N 2 (1993), 204-211.
[45]  TSACHEV Ts., V. G. ANGELOV, Fixed points of nonself mappings and applications. J. Nonlinear Analysis v. 21, №1 (1993), 9-16.
[46]  ANGELOV V. G., Gorrigendum: "A converse to a contraction mapping theorem in uniform spaces" J. Nonlinear Analysis TMA, v. 23, №1, (1994), 1491.
[47]  ANGELOV V. G., On the black body oscillator equation, Bulgarian Academy of Sciences, Dept. Operational Research, (1995), №2 (preprint).
[48]  DONCHEV TZ., V. G. ANGELOV, Regular and singular perturbations of upper semicontinuous differential inclusion. Internat. J. Math. & Math. Sci. Vol. 20 №4 (1997) 699-706.
[49]  ANGELOV V. G., L. GEORGIEV, An extension of Kirk-Schöneberg theorem to uniform spaces. Discussiones Mathematicae-Differential Inclusions, v.17, (1997), 89-96.
[50]  ANGELOV V. G., TZ. DONCHEV, On the neutral functional differential inclusions. Journal of Nonlinear Analysis, Theory, Methods & Applications, Vol. 32, №1, (1998), 127-134.
[51]  ANGELOV V. G., Ts. TSACHEV, A coincidence theorem for densifying mappings and applications. Demonstratio Mathematica, v. 31 №2, (1998), 365-376.
[52]  GEORGIEV L., V. G. ANGELOV, On a problem of self oscillations in the nonlinear systems. Authomatics and Informatics'98, (1998), 66-69, (in Bulgarian).
[53]  ANGELOV V. G., Fixed points of multi-valued mappings in uniform spaces. Mathematica Balkanica, v.12, Fasc.1-2, (1998), 29-35.
[54]  GEORGIEV L., V. G. ANGELOV, On a problem of Authomatic Control. Automatics and Informatics '99, (1999), 35-39, (in Bulgarian).
[55]  ANGELOV V. G., On the iterative test for j-contractive mappings in uniform spaces. Discussiones Mathematicae, Differential Inclusions 19(1999) 103-109.
[56]  ANGELOV V. G., Ecsape trajectories of Synge equations. J. Nonlinear Analysis, Real World Applications.1 (2000), 189-204.
[57]  ANGELOV V. G., I. A. RUS, Data dependence the fixed points set of multivalued weakly Picard operators in uniform spaces, Studii Universitate "Babes-Bolyai", Mathematica, vol. XLV, №2, (2000), 3-9.
[58]  ANGELOV V.G., Transmission lines terminated by series nonlinear RLC-loads. Annuale de l'Universite d'Architecture, de Genie Civil et de Geodesie, Sofia, v.41, series 2 (Mathematics and Mechanics), (2000-2001), 9-29.
[59]  PETROV P., E. GAVRILOVA, V. ANGELOV, Geostatistical correlation between some applied characteristics and kaolin components from deposits in Ludogorie mineragenic region, 4th International Symposium on Eastern Mideterranean Geology, Isparta, Turkey, 21-25 May 2001, Proceedings, 201-209.
[60]  DONCHEV TZ., V. G. ANGELOV, An Extension of Nadler Theorem to a Locally Convex Spaces, Studii Universitate "Babes-Bolyai", Mathematica,(2002).
[61]  ANGELOV V. G, Plane orbits for Synge's electromagnetic two body problem (I), Seminar on Fixed Point Theory, Cluj-Napoca, vol.3, (2002), 3-12.
[62]  GEORGIEV L. P., V. G. ANGELOV, On the equivalence of differential systems arising in electromagnetic two-body problem, Annual of University of Mining and Geology "St. Ivan Rilski", vol.44-45, part III, Sofia, (2002), 99-102.
[63]  ANGELOV V. G., On j-Lipschitzian mappings in pseudometrically convex uniform spaces, Annual of University of Mining and Geology "St. Ivan Rilski", vol.44-45, part III, Sofia, (2002), 103-105.
[64]  GEORGIEV L.P., V.G. ANGELOV, On the existence and uniqueness of solutions for maximum equation, Glasnik Matematički, v. 37(57), (2002), 275-281.
[65]  ANGELOV V. G., On the Ehrenfest paradox, Math. Sci. Res. J. v.6 (2002), №10, 500-514.
[66]  SORIANO J. M., V. G. ANGELOV, A zero of a proper mapping, Seminar on Fixed Point Theory, vol.4 , №1 (2003), 97-104.
[67]  ANGELOV V. G., On the method of successive approximations for J. L. Synge electromagnetic two-body problem. Applied Mathematics E-notes, v.3 (2003), 163-170.
[68]  ANGELOV V. G., L. GEORGIEV, A comparison of two systems describing electromagnetic two-body problem. Studia Univ. "Babes-Bolyai", Math. v. XLVIII, №3 (2003), 11-21.
[69]  ANGELOV V. G., On the neutral lossless transmission line equations with tunnel diode and a lumped parallel capacitance. Annual of the University of Mining and Geology "St.I.Rilski", v.46, part 3, (2003), 197-200.
[70]  ANGELOV V. G., Neutral equations with polynomial nonlinearities arising in transmission lines, Annual of University of Mining and Geology "St. Ivan Rilski", v.46, part 3, S., (2003), 201-204.
[71]  ANGELOV V. G., D. Tz. ANGELOVA, and L. P. GEORGIEV, Nonlinear circuits polynomial resistive elements, Annual of University of Mining and Geology "St. Ivan Rilski". v.46, part 3, S., (2003), 205-208.
[72]  ANGELOVA D. Tz., V. G. ANGELOV, On periodicity and oscillation of nonlinear circuits with resistive elements. Proceedings of International Conference VSU'2003, v.1, 75-79.
[73]  ANGELOV V. G., Solutions for crosstalk voltages in a three conductor transmission line. Proceedings of International Conference VSU'2003, v.1, 93-99.
[74]  ANGELOV V.G., Neutral equations arising in transmission lines with nonlinear loads. Proceedings of International Conference VSU'2003, v. I, 100-105.
[75]  ANGELOV V.G., S.A.STEFANOV, On ferro-resonance generators of pulse current. 13-th International Symposium on Electrical Apparatus and Technologies, Siela 2003, Proceedings, v.1, 22-27.
[76]  ANGELOV V.G., Nonlinear functional equations arising in GaAs nonlinear transmission lines. International Scientific Symposium, "Universitaria ropet 2003", Univ. of Petrosani (Romania), section-Electrical Engineering, 63-66.
[77]  ANGELOV V.G., D.M.DIKOV, A new approach for investigation of nonlinearities in generators of high frequencies. Annual of MA"G.S.Rakovski" (in Bulgarian) (2003) 113-122.
[78]  ANGELOV V.G., D.M.DIKOV, Methods for depressing of the reflected wave of nonlinear circuit in transmission lines. Annual of MA"G.S.Rakovski" (in Bulgarian) (2003) 123-130.
[79]  ANGELOV V. G., An extension of Kirk-Caristi theorem to uniform spaces. Antarctica J. Math., v.1 (1) (2004), 47-51.
[80]  ANGELOV V.G., D. Tz. ANGELOVA, On periodicity and oscillation of the solutions of systems of functional equations with polynomial nonlinearities. Proceedings of International Conference VSU' (2004), v. I, I-95-99.
[81]  ANGELOV V.G. Linear parametric circuits with LC-parameters of alternated signs. Proceedings of the International Conference VSU (2004), v. I, т.1, I-100-104.
[82]  ANGELOV V. G., J. M. SORIANO, Uniqueness of escape trajectories for N-body problem of classical electrodynamics, Math. Sci. Res. J. v.8 (6) (2004), 184-195.
[83]  ANGELOV V.G., D. M. DIKOV Methods for investigation of electromagnetic compatibility. (in Bulgarian) (2004).
[84]  ANGELOV V.G. Plane orbits for Synge's electromagnetic two-body problem-small perturbed circle motions (II). Fixed Point Theory-Cluj-Napoca (2005).
[85]  ANGELOV V.G. Lossy transmission lines terminated by nonlinear R-loads-periodic regimes. Fixed Point Theory-Cluj-Napoca,v.7, No.2, (2006),201-218.
[86]  ANGELOV V.G., D. M. DIKOV, Investigation on electromagnetic compatibility of two jointly processing antenna-feeder lines (1), Proc. of IPIO, (2006) (in Bulgarian).
[87]  ANGELOV V.G., D. M. DIKOV, Investigation on electromagnetic compatibility of two jointly processing antenna-feeder lines. Comparison with one line (2), Proc. of the conference of MA "G.S. Rakovski" (2006) (in Bulgarian).
[88]  ANGELOV V.G., Periodic regimes of the classical oscillatory circuit, Proceedings International Conference VSU'2006, v. I, (2006), I-43-48.
[89]  ANGELOV V.G., Lossy transmission lines terminated by parallel nonlinear RCL-loads-(1) Reducing to a nonlinear neutral system, Proceedings of International Conference VSU'2006, v. I, I-49-54.
[90]  ANGELOV V.G., Investigation on electromagnetic compatibility of four-conductor transmission lines, Proceedings of International Conference VSU'2006, v. I, I-55-60.
[91]  ANGELOV V.G., Oscillatory solutions of the classical generator equation, Applied Mathematics E-Notes, 7 (2007), 121-130.
[92]  ANGELOV V.G. Lossy transmission lines terminated by nonlinear R-loads with exponential V-I characteristics. J. Nonlinear Analysis-Real World Applications, v.8, No. 2, (2007), 579-589.
[93]  ANGELOVA D., L.GEORGIEV, V.G.ANGELOV A Goursat Problem for sin-Gordon Equation. Proc. of Jubilee Scientific International Conference VSU'(2008), v. 1, I-59-65.
[94]  ANGELOVA D., L.GEORGIEV, V.G.ANGELOV, On the initial value problem for investigation on mathematical model of four-conductor transmission line. Proc. of IX International Scientific Conference VSU' (2009), v. I, I-111-114, (in Bulgarian).
[95]  DIKOV D., V.G.ANGELOV Initial relations for definition of reliability of a communication system. Annual of the Univ. of Mining and Geology" St.I.Rilski", Part III: Mechanization, Electrification and Automation in Mines,(2009), 155-158 (in Bulgarian).
[96]  ANGELOV V.G. Harmonic solutions of the oscillator circuit equation. Proceedings of the International Conference dedicated to the 105 Anniversary of the Birth of J. Atanasoff and J. von Neumann, v.1, (2009), 23-30.
[97]  V. ANGELOV, D. ANGELOVA. Oscillatory solutions of neutral equations arising in lossless transmission lines. Proceedings International conference VSU'2011, Vol. I, pp. I-124-129, 2011, Sofia, Bulgaria.
[98]  ANGELOV V.G. On the original Dirac equations with radiation term. Libertas Mathematica, (Texas), vol.31, (2011), 57-86.