Some Results on Stability of Retarded Functional Differential Equations Using Dichotomic Map Techniques |
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| Authors: | Aparecida Bená Maria Dos Reis José Geraldo |
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| Institution: | (1) Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto – USP, 14040-901-Ribeirão Preto SP, Brazil;(2) Departamento de Matemática, Faculdade de Ciências – UNESP, 17033-360-Bauru SP, Brazil |
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| Abstract: | This paper deals with the study of the stability of nonautonomous retarded functional differential equations using the theory of dichotomic maps. After some preliminaries, we prove the theorems on simple and asymptotic stability. Some examples are given to illustrate the application of the method. Main results about asymptotic stability of the equation
and of itsnonlinear generalization
are established. |
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| Keywords: | asymptotic stability dichotomic maps retarded functional differential equation stability |
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