Existence results for semilinear perturbed functional differential equations of neutral type with infinite delay

DOI10.1007/s00009-010-0023-6zbMath1214.34065OpenAlexW1989682232MaRDI QIDQ980471

Mohammed Belmekki, Khalil Ezzinbi, Mouffak Benchohra, Sotiris K. Ntouyas

Publication date: 29 June 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0023-6

zbMATH Keywords

fixed pointsemigroupmild solutioninfinite delayintegral solutionsemiliniar neutral functional differential equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Existence and controllability for nondensely defined partial neutral functional differential inclusions.

Cites Work

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• Integrated semigroups
• Existence and stability for some partial neutral functional-differential equations with infinite delay
• Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Some considerations to the fundamental theory of infinite delay equations
• Functional differential equations with infinite delay
• Existence and continuous dependence for functional-differential equations with unbounded delay
• A class of linear partial neutral functional differential equations with nondense domain
• Existence results for partial neutral functional differential equations with unbounded delay
• Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
• Introduction to functional differential equations
• Nondensely defined evolution equations with nonlocal conditions.
• Existence and regularity of solutions for some neutral partial differential equations with nonlocal conditions
• Existence results for semilinear perturbed functional differential equations with nondensely defined operators
• Equations with unbounded delay: a survey
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type

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