Bull. Korean Math. Soc. 2009; 46(4): 691-700
Printed July 1, 2009
https://doi.org/10.4134/BKMS.2009.46.4.691
Copyright © The Korean Mathematical Society.
Krishnan Balachandran and Dong Gun Park
Bharathiar University and Dong-A University
We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.
Keywords: existence of solution, quasilinear integrodifferential equation, analytic semigroup, fixed point theorem
MSC numbers: 34G20, 47H20
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