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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.1972.tde-23062022-081652
Document
Author
Full name
Luiz Antonio Vieira de Carvalho
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1972
Supervisor
Committee
Ize, Antonio Fernandes (President)
Onuchic, Nelson
Qualifik, Paul
Title in Portuguese
O MÉTODO TOPOLÓGICO DE WAZEWSKI PARA EQUAÇÕES INTEGRO-DIFERENCIAIS E SUAS APLICAÇÕES AO COMPORTAMENTO ASSINTÓTICO DE SISTEMAS REPULSIVOS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
The topological principle of Wazewski for integro-differential equations and its applications to the asymptotic behavior of repulsive systems.
Keywords in English
Not available
Abstract in English
In this work we present, in Chapter I, some results about existence, uniqueness, Continuation and continuous dependence upon initial data, of the solutions of systems of integro-differential equations of' Mnetype x'(t) = f(t,x(t)) + ∫tag(t,s,x(s))ds. Then, in Chapter 11, we use the above mentioned results to present an extension of Wazewski's topological principle for these equations, following the ideas of N. Onuchic's work [af], whiche is devoted to retarded functional differential equations., Chapter III is devoted to some applications of the method presented in Chapter II to the study of the behavior of the solutions.of systems of second order, including the systems with repulsive forces. These application's are based on the works of V.D. 'Fiédorov . Also, in this chapter, we present some results about the, asymptotic behavior of solutions of systems of integro- differential of second order, due to N.Onuchic the case of retarded functional-differential equations.
 
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Publishing Date
2022-06-23
 
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