Existence and Regularity for Some Partial Neutral Functional Integrodifferential Equations with Nondense Domain

The paper is concerned with the study of some partial neutral functional integrodifferential equations with nondense domain. Using the integrated resolvent operator theory, we derive some results concerning the existence and regularity of solutions. Finally, an example is given to illustrate our the...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 43; no. 4; pp. 2967 - 2987
Main Authors Ezzinbi, Khalil, Ghnimi, Saifeddine
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.07.2020
Springer Nature B.V
Subjects
Applications of Mathematics
Domains
Mathematical analysis
Mathematics
Mathematics and Statistics
Regularity
34K30
Neutral equations
Integral solution
34K40
Integrated resolvent operator
Partial functional integrodifferential equations
Integrated semigroup
45K05
47D62
Strict solution
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Summary:The paper is concerned with the study of some partial neutral functional integrodifferential equations with nondense domain. Using the integrated resolvent operator theory, we derive some results concerning the existence and regularity of solutions. Finally, an example is given to illustrate our theory.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00847-0