Asymptotically almost automorphic mild solutions for semilinear integro-differential evolution equations. (English) Zbl 07850790
Summary: In this paper, we investigate the existence of asymptotically almost automorphic mild solution for a class of integro-differential equations. The existence results are established through the application of Mönch’s fixed point theorem and the utilization of measures of non-compactness. Additionally, we present an illustrative example to
showcase the obtained outcomes.
MSC:
| 34G20 | Nonlinear differential equations in abstract spaces |
Keywords:
asymptotically almost automorphic; integrodifferential equations; mild solution; evolution system; Kuratowski measures of noncompactness; Mönch fixed pointReferences:
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