TY - JOUR
T1 - One approach to study of stability of integro-differential equations
AU - Domoshnitsky, A.
AU - Goltser, Ya
PY - 2001/8
Y1 - 2001/8
N2 - A method was proposed to reduce intergo-differential equations to a system of ordinary differential equations. Linear approximations were used to analyze the stability of integro-differential equations and nonlinear systems. The linearized phase transition model was analyzed to study the problem of memory effects in phase transitions. The analysis of the Gutrin-Pipkin type energy balance equation with phase relaxation equation showed that the obtained trivial solutions were asymptotically stable.
AB - A method was proposed to reduce intergo-differential equations to a system of ordinary differential equations. Linear approximations were used to analyze the stability of integro-differential equations and nonlinear systems. The linearized phase transition model was analyzed to study the problem of memory effects in phase transitions. The analysis of the Gutrin-Pipkin type energy balance equation with phase relaxation equation showed that the obtained trivial solutions were asymptotically stable.
UR - http://www.scopus.com/inward/record.url?scp=0035423888&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(01)00508-9
DO - 10.1016/S0362-546X(01)00508-9
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AN - SCOPUS:0035423888
SN - 0362-546X
VL - 47
SP - 3885
EP - 3896
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 6
ER -