Open AccessON SPECIFIC ASYMPTOTIC STABILITY SOLUTIONS OF A LINEAR HOMOGENEOUS WELTERER INTEGRO-DIFFERENTIAL EQUATION OF THE FOURTH ORDER
Author(s) -
Z. A. Japarova
Publication year - 2021
Publication title -
vestnik kyrgyzskogo gosudarstvennogo universiteta stroitelʹstva, transporta i arhitektury im.n.isanova/n.isanov atyndagy kyrgyz mamlekettik kuruluš,transport žana arhitektura universitetinin žarčysy
Language(s) - English
Resource type - Journals
eISSN - 1694-8181
pISSN - 1694-5298
DOI - 10.35803/1694-5298.2021.1.110-117
Subject(s) - mathematics , homogeneous differential equation , homogeneous , exponential stability , differential equation , stability (learning theory) , integro differential equation , mathematical analysis , linear differential equation , order (exchange) , first order partial differential equation , nonlinear system , ordinary differential equation , physics , differential algebraic equation , combinatorics , computer science , finance , quantum mechanics , machine learning , economics
Specific sufficient conditions for the asymptotic stability of a linear homogeneous fourthorder integro-differential equation of the Volterra type are established in the case when all nonzero solutions of the corresponding fourth-order differential equation do not have the property of asymptotic stability of the solutions. In this paper, we obtain estimates on the semiaxis of the solution and the derivative up to the third order.