Impulsive semilinear neutral functional differential inclusions with multivalued jumps

DOI10.1007/s10492-011-0004-5zbMath1224.34207OpenAlexW1967389709MaRDI QIDQ548585

Mouffak Benchohra, Ravi P. Agarwal, Hadda Hammouche, Nadjet Abada

Publication date: 29 June 2011

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

Full work available at URL: https://eudml.org/doc/116522

zbMATH Keywords

fixed pointphase spacemild solutioninfinite delaydensely defined operatorextremal mild solutionimpulsive semilinear neutral functional differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential inclusions (34K09)

Related Items (1)

Extremal solutions for measure differential inclusions via Stieltjes derivatives

Cites Work

• Delay differential equations: with applications in population dynamics
• Existence and controllability results for impulsive partial functional differential inclusions
• Semigroups of linear operators and applications to partial differential equations
• 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
• Existence results for partial neutral functional differential equations with unbounded delay
• Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
• Nonlinear impulse evolution systems and applications to population models
• Theory and applications of partial functional differential equations
• Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
• Equations with unbounded delay: a survey
• One-Parameter Semigroups for Linear Evolution Equations
• An existence result for impulsive functional differential inclusions in Banach spaces
• Systems governed by impulsive differential inclusions on Hilbert spaces
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