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El Matloub, Jaouad; Ezzinbi, Khalil

Nondensely defined partial neutral functional integrodifferential equations with infinite delay under the light of integrated resolvent operators. (English) Zbl 07867608

J. Appl. Anal. 30, No. 1, 17-34 (2024).
Summary: In this work, we mainly focus on the local existence and regularity of integral solutions for a class of nondensely defined partial neutral functional integrodifferential equations with unbounded delay. We use the theory of integrated resolvent operators introduced by H. Oka [J. Integral Equations Appl. 7, No. 2, 193–232 (1995; Zbl 0846.45005)]. Finally, we provide an example to demonstrate the basic findings of our work.

MSC:

45J05 Integro-ordinary differential equations
47D62 Integrated semigroups
47N20 Applications of operator theory to differential and integral equations

Keywords:

integral solution; strict solution; functional integro-differential equations; neutral equations; integrated resolvent operator; infinite delay

Citations:

Zbl 0846.45005
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Full Text: DOI

References:

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