Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces

DOI10.1155/IJMMS/2006/31256zbMath1123.34049MaRDI QIDQ885616

John R. Graef, Abdelghani Ouahab

Publication date: 14 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53530

zbMATH Keywords

fixed pointboundary value probleminfinite delayFréchet spaceinfinite intervalImpulsive functional differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Neutral functional-differential equations (34K40) Boundary value problems for functional-differential equations (34K10)

Related Items (1)

Existence of semi linear impulsive neutral evolution inclusions with infinite delay in Frechet spaces

Cites Work

• 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
• Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space
• Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space
• Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces
• An existence result for first-order impulsive functional differential equations in Banach spaces
• A class of second-order impulsive integro-differential equations on unbounded domain in a Banach space
• Boundary value problems for second-order differential equations on unbounded domains in a Banach space.
• Boundary value problems on half-line for functional differential equations with infinite delay in a Banach space
• Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces
• Positive solutions for first order nonlinear functional boundary value problems on infinite intervals
• Impulsive neutral functional differential equations in banach spaces
• Equations with unbounded delay: a survey
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