New Monch–Krasnosel’skii type fixed point theorems applied to solve neutral partial integrodifferential equations without compactness
| Autor: | Khalil Ezzinbi, Saifeddine Ghnimi, Mohamed-Aziz Taoudi |
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| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
Class (set theory) Partial differential equation Applied Mathematics 010102 general mathematics Fixed-point theorem Type (model theory) 01 natural sciences 010101 applied mathematics Compact space Modeling and Simulation Applied mathematics Geometry and Topology 0101 mathematics Variety (universal algebra) Mathematics Resolvent |
| Zdroj: | Journal of Fixed Point Theory and Applications. 22 |
| ISSN: | 1661-7746 1661-7738 |
| DOI: | 10.1007/s11784-020-00810-8 |
| Popis: | In this paper, we show the existence of mild solutions for a class of neutral partial integrodifferential equations with lack of compactness. The results are obtained using noncompact resolvent operators and a new fixed point theorem of Monch-Krasnosel’skii type. Our results are applied to a large variety of partial differential equations in which memory effects are considered. An example is provided at the end of the paper to illustrate the main results of this work. |
| Databáze: | OpenAIRE |
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