Electron. J. Diff. Equ., Vol. 2010(2010), No. 36, pp. 1-12.

Neutral functional differential equations of second-order with infinite delays

Runping Ye, Guowei Zhang

Abstract:
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated family of operators.

Submitted November 24, 2009. Published March 9, 2010.
Math Subject Classifications: 34K30, 34K40, 47D09.
Key Words: Neutral functional differential equations; mild solution; Hausdorff measure of noncompactness; phase space.

Show me the PDF file (229 KB), TEX file, and other files for this article.

Runping Ye
Education Department of Suqian College
Jiangsu, 223800, China
email: yeziping168@sina.com
Guowei Zhang
Department of Mathematics, Northeastern University
Shenyang, 110004, China
email: gwzhangneum@sina.com

Return to the EJDE web page