TY  - JOUR
ID  - Yang2011
LB  - Yang2011
AU  - Yang, YanLong
AU  - Wang, JinRong
TI  - On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
ST  - On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 3
SP  - 443
EP  - 455
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.3.443
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.3.443
AB  - In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.
KW  - integrodifferential equations
KW  - nonlocal initial condition
KW  - completely continuous operator
KW  - Schaefer fixed point theorem
KW  - mild solutions
SN  - 1232-9274
ER  -