On the periodic boundary value problem for impulsive parabolic equations
Authors:
Drumi Bainov, Emil Minchev and Ikechukwu E. Okoroafor
Journal:
Quart. Appl. Math. 57 (1999), 543-547
MSC:
Primary 35R12; Secondary 35B10, 35K20
DOI:
https://doi.org/10.1090/qam/1704431
MathSciNet review:
MR1704431
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: This paper deals with the periodic boundary value problem for impulsive parabolic equations. A comparison result for impulsive differential inequalities is obtained. This result is applied to get a uniqueness criterion for the solutions of impulsive parabolic equations.
- Drumi D. Baĭnov, Zdzisław Kamont, and Emil Minchev, Difference methods for impulsive differential-functional equations, Appl. Numer. Math. 16 (1995), no. 4, 401–416. MR 1325256, DOI https://doi.org/10.1016/0168-9274%2895%2900006-G
- D. Baĭnov, E. Minchev, and Z. Kamont, The finite difference method for first order impulsive partial differential-functional equations, Computing 55 (1995), no. 3, 237–253 (English, with English and German summaries). MR 1356312, DOI https://doi.org/10.1007/BF02238434
- C. Y. Chan and L. Ke, Remarks on impulsive quenching problems, Proceedings of Dynamic Systems and Applications, Vol. 1 (Atlanta, GA, 1993) Dynamic, Atlanta, GA, 1994, pp. 59–62. MR 1308279
- C. Y. Chan, L. Ke, and A. S. Vatsala, Impulsive quenching for reaction-diffusion equations, Nonlinear Anal. 22 (1994), no. 11, 1323–1328. MR 1280200, DOI https://doi.org/10.1016/0362-546X%2894%2990114-7
- L. H. Erbe, H. I. Freedman, Xinzhi Liu, and J. H. Wu, Comparison principles for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Soc. Ser. B 32 (1991), no. 4, 382–400. MR 1097111, DOI https://doi.org/10.1017/S033427000000850X
V. Gupta, Parabolic Equations with Impulse Effect: a Semigroup Approach, Ph.D. Thesis, Kanpur, India, 1994
- G. Petrov, Impulsive moving mirror model in a Schroedinger picture with impulse effect in a Banach space, Soobshcheniya Ob″edinennogo Instituta Yadernykh Issledovaniĭ . Dubna [Communications of the Joint Institute for Nuclear Research. Dubna], E2-92-272, Joint Inst. Nuclear Res., Dubna, 1992 (English, with English and Russian summaries). MR 1186407
D. Bainov, Z. Kamont, and E. Minchev, Difference methods for impulsive differential-functional equations, Applied Numerical Mathematics 16, 401–416 (1995)
D. Bainov, Z. Kamont, and E. Minchev, The finite difference method for first order impulsive partial differential-functional equations, Computing 55, No. 3, 237–253 (1995)
C. Y. Chan and L. Ke, Remarks on impulsive quenching problems, Proceedings of Dynamic Systems and Applications 1, 59–62 (1994)
C. Y. Chan, L. Ke, and A. Vatsala, Impulsive quenching for reaction-diffusion equations, Nonlinear Analysis, Theory, Methods and Applications 22, No. 11, 1323–1328 (1994)
L. H. Erbe, H. I. Freedman, X. Z. Liu, and J. H. Wu, Comparison principles for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Soc., Ser. B, 32, 382–400 (1991)
V. Gupta, Parabolic Equations with Impulse Effect: a Semigroup Approach, Ph.D. Thesis, Kanpur, India, 1994
G. Petrov, Impulsive moving mirror model in a Schrödinger picture with impulse effect in a Banach space, Communications of the Joint Institute for Nuclear Research, Dubna, Russia, preprint E2–92–272, 1992
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
35R12,
35B10,
35K20
Retrieve articles in all journals
with MSC:
35R12,
35B10,
35K20
Additional Information
Article copyright:
© Copyright 1999
American Mathematical Society
