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Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces

Authors
Journal
Funkcialaj Ekvacioj
0532-8721
Publisher
Mathematical Society of Japan
Publication Date
Keywords
  • Second-Order Abstract Cauchy Problem
  • Differential Equations In Abstract Spaces
  • Nonlocal Conditions
  • Cosine Function Of Operators
  • Almost Periodic Functions
Disciplines
  • Mathematics

Abstract

This work is concerned with implicit second order abstract differential equations with nonlocal conditions. Assuming that the involved operators satisfy sonic compactness properties, we establish the existence of local mild solutions, the existence of global mild solutions and the existence of asymptotically almost periodic solutions.

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