J. Korean Math. Soc. 2011; 48(3): 585-597
Printed May 1, 2011
https://doi.org/10.4134/JKMS.2011.48.3.585
Copyright © The Korean Mathematical Society.
Dong Gun Park, Krishnan Balachandran, and Francis Paul Samuel
Dong-A University, Bharathiar University, Bharathiar University
We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.
Keywords: contraction principle, mild and classical solution, semigroup theory
MSC numbers: 34G20, 47D03, 47H10
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd