scholarly journals NONLOCAL CAUCHY PROBLEM FOR SECOND ORDER INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES

2007 ◽  
Vol 11 (5) ◽  
pp. 1343-1357 ◽  
Author(s):  
K. Balachandran ◽  
J.-H. Kim
Keyword(s):  
Cauchy Problem ◽  
Banach Spaces ◽  
Evolution Equations ◽  
Second Order ◽  
Nonlocal Cauchy Problem

scholarly journals EXISTENCE OF SOLUTIONS OF SEMILINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES

1999 ◽  
Vol 30 (1) ◽  
pp. 21-28
Author(s):  
K. BALACHANDR AN ◽  
M. CHANDRASEKARAN
Keyword(s):  
Differential Equation ◽  
Cauchy Problem ◽  
Banach Spaces ◽  
Contraction Mapping ◽  
Existence Of Solutions ◽  
Nonlocal Conditions ◽  
Global Solutions ◽  
Contraction Mapping Principle ◽  
Analytic Semigroups ◽  
Nonlocal Cauchy Problem

The aim of this paper is to prove the existence and uniquencess of local, strong and global solutions of a nonlocal Cauchy problem for a differential equation. The method of analytic semigroups and the contraction mapping principle arc used to establish the results.

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