Opuscula Mathematica
Opuscula Math. 31, no. 3 (), 443-455
http://dx.doi.org/10.7494/OpMath.2011.31.3.443
Opuscula Mathematica

On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces



Abstract. 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.
Keywords: integrodifferential equations, nonlocal initial condition, completely continuous operator, Schaefer fixed point theorem, mild solutions.
Mathematics Subject Classification: 34G20.
Cite this article as:
YanLong Yang, JinRong Wang, On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces, Opuscula Math. 31, no. 3 (2011), 443-455, http://dx.doi.org/10.7494/OpMath.2011.31.3.443
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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