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Existence of solutions for neutral functional differential evolution equations with nonlocal conditions

✍ Scribed by Xianlong Fu; Khalil Ezzinbi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
131 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, by using fractional power of operators and Sadovskii's ΓΏxed point theorem, we study the existence of mild and strong solutions of semilinear neutral functional di erential evolution equations with nonlocal conditions. The results we obtained are a generalization and continuation of the recent results on this issue. In the end, an example is given to show the application of our results.

πŸ“œ SIMILAR VOLUMES

Existence of Solutions of Nonlinear Diff
Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
✍ M. Benchohra; S.K. Ntouyas πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 69 KB

In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.

Global Existence for Semilinear Evolutio
Global Existence for Semilinear Evolution Equations with Nonlocal Conditions
✍ S.K. Ntouyas; P.Ch. Tsamatos πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 150 KB

In this paper, we study the global existence of solutions for semilinear evolution equations with nonlocal conditions, via a fixed point analysis approach. Using the Leray᎐Schauder Alternative, we derive conditions under which a solution exists globally.