Existence of Semilinear Differential Equations with Nonlocal Initial Conditions

Authors
Xue, Xing Mei
Citation
Xue, Xing Mei, Existence of Semilinear Differential Equations with Nonlocal Initial Conditions, Acta mathematica Sinica. English series (Print) , 23(6), 2007, pp. 983-988
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
6
Year of publication
2007
Pages
983 - 988
Database
ACNP
SICI code
Abstract
In this paper we give the existence of mild solutions for semilinear Cauchy problems u'(t) = Au(t) + f(t, u(t)), t .. I, a.e. with nonlocal initial condition u(0) = g(u) + u 0 when the map g loses compactness in Banach spaces