The Lp-Version of the Generalized Bohl–Perron Principle for Neutral Type Functional Differential Equations

Michael Gil’

doi:10.1007/s12591-014-0198-6

The L^p-Version of the Generalized Bohl–Perron Principle for Neutral Type Functional Differential Equations

Michael Gil’

Department of Mathematics

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

Abstract

We consider a vector linear neutral type homogeneous functional differential equation. It is proved that the considered equation is exponentially stable, provided the corresponding non-homogeneous equation with the zero initial function and an arbitrary free term from (Formula presented.), has a solution belonging to (Formula presented.).

Original language	English
Pages (from-to)	303-315
Number of pages	13
Journal	Differential Equations and Dynamical Systems
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/s12591-014-0198-6
State	Published - 22 Jul 2015

Keywords

Exponential stability
Functional differential equation
Linear equation
Neutral type equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1007/s12591-014-0198-6

Cite this

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title = "The Lp-Version of the Generalized Bohl{\textendash}Perron Principle for Neutral Type Functional Differential Equations",

abstract = "We consider a vector linear neutral type homogeneous functional differential equation. It is proved that the considered equation is exponentially stable, provided the corresponding non-homogeneous equation with the zero initial function and an arbitrary free term from (Formula presented.), has a solution belonging to (Formula presented.).",

keywords = "Exponential stability, Functional differential equation, Linear equation, Neutral type equation",

author = "Michael Gil{\textquoteright}",

note = "Publisher Copyright: {\textcopyright} 2014, Foundation for Scientific Research and Technological Innovation.",

year = "2015",

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T1 - The Lp-Version of the Generalized Bohl–Perron Principle for Neutral Type Functional Differential Equations

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N2 - We consider a vector linear neutral type homogeneous functional differential equation. It is proved that the considered equation is exponentially stable, provided the corresponding non-homogeneous equation with the zero initial function and an arbitrary free term from (Formula presented.), has a solution belonging to (Formula presented.).

AB - We consider a vector linear neutral type homogeneous functional differential equation. It is proved that the considered equation is exponentially stable, provided the corresponding non-homogeneous equation with the zero initial function and an arbitrary free term from (Formula presented.), has a solution belonging to (Formula presented.).

KW - Exponential stability

KW - Functional differential equation

KW - Linear equation

KW - Neutral type equation

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U2 - 10.1007/s12591-014-0198-6

DO - 10.1007/s12591-014-0198-6

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AN - SCOPUS:84935035078

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JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

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