Open AccessEXISTENCE OF SOLUTIONS OF SEMILINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES
Author(s) -
Kachinskiĭ An,
M. Chandrasekaran
Publication year - 1999
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.30.1999.4195
Subject(s) - mathematics , banach space , mathematical analysis , c0 semigroup , cauchy problem , contraction principle , initial value problem , differential equation , contraction (grammar) , contraction mapping , pure mathematics , fixed point theorem , medicine
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.