Open AccessOn an Application of the Averaging Method for Nonlinear Systems of Integro Differential Equations
Author(s) -
Д. Д. Байнов,
G. H. Sarafova
Publication year - 1977
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195189600
Subject(s) - mathematics , nonlinear system , differential equation , type (biology) , differential (mechanical device) , method of averaging , mathematical analysis , estimation , physics , management , ecology , biology , economics , quantum mechanics , thermodynamics
Summary The present papei justifies a variant of the aveiaging method for a system oi integio differential equations ot a standard type, and finds an estimation tor proximity of the solutions ot the considered system and its averaged system. In paper [1] the averaging method for a system of ordinary differential equations of a standard type is justified. An estimation for proximity of the solutions of the initial and the averaged system is found. In the present paper this method is applied to a nonlinear system of integro-diffe rential equations of a standard type. An estimation for proximity of the solutions of the initial and its corresponding averaged system is found, using two of the schemes for averaging proposed in [2], Consider the equation
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