Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 280463, 13 pages
doi:10.1155/2010/280463
Research Article

Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations

Dong-Gun Park,1 Jin-Mun Jeong,2 and Han-Geul Kim2

1Mathematics and Materials Physics, Dong-A University, Saha-Gu, Busan 604-714, South Korea
2Division of Mathematical Sciences, Pukyong National University, Busan 608-737, South Korea

Received 28 October 2009; Accepted 15 January 2010

Academic Editor: Jong Kim

Copyright © 2010 Dong-Gun Park et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators and the nonlinear terms and obtain a variation of constant formula of solutions of the given nonlinear equations.