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Almost automorphic solutions to second order abstract differential equations

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Author(s):
Laura Rezzieri Gambera
Total Authors: 1
Document type: Master's Dissertation
Press: São José do Rio Preto. 2016-04-18.
Institution: Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto
Defense date:
Advisor: Andréa Cristina Prokopczyk Arita
Abstract

In this work we study the existence of an almost automorphic mild solution to second order abstract differential equations given by x’’(t) = Ax(t) + f(t, x(t)), t real, where x(t) lies in X for all t real, X is a Banach space, A : D(A) C X ->X is the infinitesimal generator of a strongly continuous cosine family of bounded linear operators on X and f : R x X -> X is an appropriate function. (AU)

FAPESP's process: 13/22813-3 - Almost automorphic solutions to second order abstract differential equations
Grantee:Laura Rezzieri Gambera
Support Opportunities: Scholarships in Brazil - Master