An existence theorem for a type of functional differential equation with infinite delay

Ferenc Izsák

doi:10.1007/s10474-005-0215-x

An existence theorem for a type of functional differential equation with infinite delay

Ferenc Izsák

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We prove an existence theorem for a functional differential equation with infinite delay using the Schauder fixpoint theorem. We extend a result in [19] applying the fixed point procedure in an appropriate function space.

Original language	English
Pages (from-to)	137-153
Number of pages	17
Journal	Acta mathematica Hungarica
Volume	108
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-005-0215-x
Publication status	Published - 2005

Keywords

Infinite delay
Functional differential equation
Phase space

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abstract = "We prove an existence theorem for a functional differential equation with infinite delay using the Schauder fixpoint theorem. We extend a result in [19] applying the fixed point procedure in an appropriate function space.",

keywords = "Infinite delay, Functional differential equation, Phase space",

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AB - We prove an existence theorem for a functional differential equation with infinite delay using the Schauder fixpoint theorem. We extend a result in [19] applying the fixed point procedure in an appropriate function space.

KW - Infinite delay

KW - Functional differential equation

KW - Phase space

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JO - Acta mathematica Hungarica

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