Approach to study of bifurcations and stability of integro-differential equations

A. Domoshnitsky; Ya M. Goltser

doi:10.1016/S0895-7177(02)00166-8

Approach to study of bifurcations and stability of integro-differential equations

Department of Mathematics

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18 Scopus citations

Abstract

A method reducing a wide class of integro-differential equations to corresponding systems of ordinary differential equations is proposed. On this base, new results on stability and bifurcation of integro-differential equations are obtained.

Original language	English
Pages (from-to)	663-678
Number of pages	16
Journal	Mathematical and Computer Modelling
Volume	36
Issue number	6
DOIs	https://doi.org/10.1016/S0895-7177(02)00166-8
State	Published - 13 Sep 2002

Keywords

Bifurcations
Exponential stability
Integro-differential equations
Phase transition

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10.1016/S0895-7177(02)00166-8

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title = "Approach to study of bifurcations and stability of integro-differential equations",

abstract = "A method reducing a wide class of integro-differential equations to corresponding systems of ordinary differential equations is proposed. On this base, new results on stability and bifurcation of integro-differential equations are obtained.",

keywords = "Bifurcations, Exponential stability, Integro-differential equations, Phase transition",

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year = "2002",

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AU - Domoshnitsky, A.

AU - Goltser, Ya M.

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N2 - A method reducing a wide class of integro-differential equations to corresponding systems of ordinary differential equations is proposed. On this base, new results on stability and bifurcation of integro-differential equations are obtained.

AB - A method reducing a wide class of integro-differential equations to corresponding systems of ordinary differential equations is proposed. On this base, new results on stability and bifurcation of integro-differential equations are obtained.

KW - Bifurcations

KW - Exponential stability

KW - Integro-differential equations

KW - Phase transition

UR - https://www.scopus.com/pages/publications/0037073052

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 6

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Approach to study of bifurcations and stability of integro-differential equations

Abstract

Keywords

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