The generalized Bohl-Perron principle for the neutral type vector functional differential equations

Michael Gil

doi:10.1007/s00498-012-0100-4

The generalized Bohl-Perron principle for the neutral type vector functional differential equations

Michael Gil

Department of Mathematics

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

2 Scopus citations

Abstract

We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.

Original language	English
Pages (from-to)	133-146
Number of pages	14
Journal	Mathematics of Control, Signals, and Systems
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s00498-012-0100-4
State	Published - 1 Mar 2013

Keywords

Exponential stability
Linear equation
Neutral type functional differential equation

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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10.1007/s00498-012-0100-4

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title = "The generalized Bohl-Perron principle for the neutral type vector functional differential equations",

abstract = "We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.",

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

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N2 - We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.

AB - We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.

KW - Exponential stability

KW - Linear equation

KW - Neutral type functional differential equation

UR - https://www.scopus.com/pages/publications/84874105435

U2 - 10.1007/s00498-012-0100-4

DO - 10.1007/s00498-012-0100-4

M3 - Article

AN - SCOPUS:84874105435

SN - 0932-4194

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SP - 133

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JO - Mathematics of Control, Signals, and Systems

JF - Mathematics of Control, Signals, and Systems

IS - 1

ER -

The generalized Bohl-Perron principle for the neutral type vector functional differential equations

Abstract

Keywords

ASJC Scopus subject areas

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