Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay. (English) Zbl 1295.34080
Summary: We study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in the Krasnoselski-Schaefer type fixed point theorem, we uses an integral inequality established by B. G. Pachpatte. The variants for obtained results are given. An example is considered to illustrate the obtained results.
MSC:
| 34K30 | Functional-differential equations in abstract spaces |
| 34K40 | Neutral functional-differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
| 26D15 | Inequalities for sums, series and integrals |
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