Theorems of Existence, Uniqueness and Continuity with ReSpect to Initial Conditions for Neutral Functional Differential Equatio
- Ladeira, Luiz Augusto da Costa
Publication date
July 2022
DOI Publisher
Universidade de Sao Paulo, Agencia USP de Gestao da Informacao Academica (AGUIA)Abstract
Não disponívelThe main objective of this work is to study the initial value problem for neutral functional differential equations. We consider the class of functional differential equations. d/dt D (t, xt) = f (t, xt) and we show, under certain conditions on D and f, existence, uniqueness and continuous<kmendence of the solutions. We complete this work with Melvin)s results for another class of neutral functional differential equations. The basic tools used here are Sadoviskii Fixed Point Theorem and & theorem on continuity of fixed points of condensing maps due to Hale
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