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Justification of the Averaging Method for a Class of Functional‐Differential Equations with Impulses
Author(s) -
Milusheva S. D.,
Bainov D. D.
Publication year - 1982
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-25.2.309
Subject(s) - class (philosophy) , mathematics , differential equation , variable (mathematics) , function (biology) , functional differential equation , method of averaging , differential (mechanical device) , argument (complex analysis) , mathematical analysis , computer science , physics , nonlinear system , medicine , artificial intelligence , thermodynamics , quantum mechanics , evolutionary biology , biology
The present paper justifies the averaging method for functional‐differential equations with impulses and with a transformed argument, the latter being a function of the independent variable and the unknown function.