## Taiwanese Journal of Mathematics

### EXISTENCE OF SOLUTIONS FOR NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

#### Abstract

This paper is concerned with the existence of mild solutions, strong solutions and strict solutions for a class of neutral integrodifferential equations with nonlocal conditions in Banach space. Since the nonlinear terms of the systems involve spacial derivatives, the theory of fractional power and $\alpha$-norm is used to discuss the problem. In the end an example is provided to illustrate the applications of the obtained results.

#### Article information

Source
Taiwanese J. Math., Volume 16, Number 5 (2012), 1879-1909.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406803

Digital Object Identifier
doi:10.11650/twjm/1500406803

Mathematical Reviews number (MathSciNet)
MR2970691

Zentralblatt MATH identifier
1259.34076

#### Citation

Fu, Xianlong; Gao, Yan; Zhang, Yu. EXISTENCE OF SOLUTIONS FOR NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS. Taiwanese J. Math. 16 (2012), no. 5, 1879--1909. doi:10.11650/twjm/1500406803. https://projecteuclid.org/euclid.twjm/1500406803

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