Initial-boundary value problems for impulsive parabolic functional differential equations
D. Bainov; Zdzisław Kamont; E. Minchev
Applicationes Mathematicae (1996)
- Volume: 24, Issue: 1, page 1-15
- ISSN: 1233-7234
Access Full Article
top
Abstract
topHow to cite
topBainov, D., Kamont, Zdzisław, and Minchev, E.. "Initial-boundary value problems for impulsive parabolic functional differential equations." Applicationes Mathematicae 24.1 (1996): 1-15. <http://eudml.org/doc/219149>.
@article{Bainov1996,
abstract = {Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.},
author = {Bainov, D., Kamont, Zdzisław, Minchev, E.},
journal = {Applicationes Mathematicae},
keywords = {initial-boundary value problems; impulsive parabolic equations; differential inequalities; impulsive parabolic functional differential equations; uniqueness},
language = {eng},
number = {1},
pages = {1-15},
title = {Initial-boundary value problems for impulsive parabolic functional differential equations},
url = {http://eudml.org/doc/219149},
volume = {24},
year = {1996},
}
TY - JOUR
AU - Bainov, D.
AU - Kamont, Zdzisław
AU - Minchev, E.
TI - Initial-boundary value problems for impulsive parabolic functional differential equations
JO - Applicationes Mathematicae
PY - 1996
VL - 24
IS - 1
SP - 1
EP - 15
AB - Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
LA - eng
KW - initial-boundary value problems; impulsive parabolic equations; differential inequalities; impulsive parabolic functional differential equations; uniqueness
UR - http://eudml.org/doc/219149
ER -
References
top- [1] D. Bainov, Z. Kamont and E. Minchev, On first order impulsive partial differential inequalities, Appl. Math. Comp. 61 (1994), 207-230. Zbl0815.35134
- [2] D. Bainov, Z. Kamont and E. Minchev, On impulsive parabolic differential inequalities, to appear. Zbl0843.35128
- [3] D. Bainov, V. Lakshmikantham and P. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989. Zbl0719.34002
- [4] D. Bainov and P. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications, Ellis Horwood, Chichester, 1989. Zbl0676.34035
- [5] L. Byszewski, Impulsive degenerate nonlinear parabolic functional-differential inequalities, J. Math. Anal. Appl. 164 (1992), 549-559. Zbl0755.35142
- [6] L. Byszewski, System of impulsive nonlinear parabolic functional-differential inequalities, Comment. Math., to appear. Zbl0858.35128
- [7] C. Y. Chan and L. Ke, Remarks on impulsive quenching problems, in: First International Conference on Dynamic Systems and Applications, 1993, Atlanta, USA, to appear.
- [8] L. Erbe, H. Freedman, X. Liu and J. Wu, Comparison principles for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Soc. Ser. B 32 (1991), 382-400. Zbl0881.35006
- [9] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vols. 1 and 2, Academic Press, New York, 1969. Zbl0177.12403
- [10] V. Mil'man and A. Myshkis, On the stability of motion in the presence of impulses, Sibirsk. Mat. Zh. 1 (2) (1960), 233-237 (in Russian).
- [11] J. Szarski, Differential Inequalities, Polish Scientific Publishers, Warszawa, 1965. Zbl0135.25804
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.