Czasopismo
2010
|
Vol. 43, nr 3
|
643-652
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this paper we prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra integrodifferential equation with nonlocal condition. Our analysis is based on semigroup theory and Banach fixed point theorem and inequalities are established by Gronwall and B. G. Pachpatte.
Czasopismo
Rocznik
Tom
Strony
643-652
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
autor
- Department of Mathematics School of Mathematical Sciences North Maharashtra University, Jalgaon, India, tharibhau@gmail.com
Bibliografia
- [1] K. Balachandran, M. Chandrasekaran, Existence of solutions of nonlinear integrodifferential equations with nonlocal condition, J. Appl. Math. Stochastic. Anal. 10 (1997), 279–288.
- [2] K. Balachandran, Existence and uniqueness of mild and strong solutions of nonlinear integrodifferential equations with nonlocal condition, Differential Equations Dynam. Systems Vol. 6, 1/2 (1998), 159–165.
- [3] L. Byszewski, Theorems about the existence and uniquess of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494–505. 652 H. L. Tidke, M. B. Dhakne
- [4] L. Byszewski, Existence of solutions of a semilinear functional-differential evolution nonlocal problem, Nonlinear Anal. 34 (1998), 65–72.
- [5] M. B. Dhakne, G. B. Lamb, Existence result for an abstract nonlinear integrodifferential equation, Gaint: J. Bangladesh Math. Soc. 21 (2001), 29–37.
- [6] Y. Lin, J. H. Liu, Semilinear integrodifferential equations with nonlocal Cauchy problem, Nonlinear Anal. 26 (1996), 1023–1033.
- [7] B. G. Pachpatte, A note on Gronwall-Bellman inequality, J. Math. Anal. Appl. 44 (1973), 758–762.
- [8] B. G. Pachpatte, Appliations of the Leray-Schauder alternative to some Volterra intergral and integrodifferential equations, Indian J. Pure Appl. Math. 26 (12) (1995), 1161–1168.
- [9] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, New York, Springer-Verlag, (1983).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0032-0022