Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay

• Autorzy: Abdessalam Baliki , Mouffak Benchohra
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.

Słowa kluczowe

EN

Semilinear functional differential equations; mild solution; attractivity; evolution system; fixedpoint; infinite delay; infinite interval

Kategorie tematyczne

• 34K30: Equations in abstract spaces
• 34K20: Stability theory
• 34G20: Nonlinear equations

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

otrzymano

2013-11-22

zaakceptowano

2014-05-12

online

2014-06-30

Twórcy

autor

Abdessalam Baliki

• Laboratory of Mathematics, University of Sidi Bel-Abbes, PO Box 89, 22000 Sidi Bel-Abbes, Algeria

autor

Mouffak Benchohra

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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Identyfikatory

DOI

10.2478/msds-2014-0006