Existence of solutions to neutral differential equations with deviated argument
M. Muslim, Indian Institute of Science, Bangalore, India E. J. Qualitative Theory of Diff. Equ., No. 27. (2008), pp. 1-12.
D. Bahuguna, Indian Institute of Technology, Kanpur, India
| Communicated by S. K. Ntouyas. | Received on 2008-06-18 Appeared on 2008-09-10 |
Abstract: In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.
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