[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2015.28.2.345

EXISTENCE OF MILD SOLUTIONS OF PARTIAL NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

Choi, Sung Kyu (Department of Mathematics Chungnam National University)
Kim, Youn Hee (Department of Mathematics Chungnam National University)
Koo, Namjip (Department of Mathematics Chungnam National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.2, 2015 , pp. 345-352 More about this Journal

Abstract

We study the existence of mild solutions of partial neutral integrodifferential equations with unbounded delay by using the fixed point criterion for condensing operators.

Keywords

neutral equation; integrodifferential equation; mild solution; Sadovskii's fixed point theorem;

Citations & Related Records

Reference

1	R. P. Agarwal, M. Meehan, and D. ORegan, Fixed Point Theory and Applications, Cambridge Univ. Press, 2001.
2	X. Fu and R. Huang, Existence of solutions for neutral integro-differential equations with state-dependent delay, Appl. Math. Comput. 224 (2013), 743-759. DOI ScienceOn
3	E. Hernandez and J. P. C. Dos Santos, Existence results for partial neutral integrodifferential equation with unbounded delay, Applicable Analysis 86 (2007), 223-237. DOI ScienceOn
4	E. Hernandez and M. McKibben, Some comments on: \Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations", Comput.Math. Appl. 50 (2005), 655-669. DOI ScienceOn
5	Y. Hino, S. Murakami, and T. Naito, Functional Differential Equations with Infinite Delay, Lecture Notes in Math., 1473, Springer-Verlag, Berlin, 1991.
6	R. H. Martin, Nonlinear Operators and Differential Equations in Banch Spaces, John Wiley & Sons, New York, 1976.