Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 170, pp. 1-8.

Title: Periodic solutions of neutral delay integral equations of advanced type

Authors: Muhammad N. Islam (Univ. of Dayton, Dayton, OH, USA)
         Nasrin Sultana (Univ. of Dayton, Dayton, OH, USA)
	 James Booth    (Univ. of Dayton, Dayton, OH, USA)

Abstract: 
 We study the existence of continuous periodic  solutions
 of a neutral delay integral equation of advanced type.
 In the analysis we employ three fixed point theorems:
 Banach, Krasnosel'skii, and  Krasnosel'skii-Schaefer.
 Krasnosel'skii-Schaefer fixed point theorem requires an
 a priori bound on all solutions. We employ a Liapunov
 type method to obtain such bound.

Submitted October 1, 2010. Published November 29, 2010.
Math Subject Classifications: 45D05, 45J05.
Key Words: Volterra integral equation; neutral delay integral equation;  
    periodic solution; Krasnosel'sii's fixed point theorem;
    Schaefer's fixed point theorem; Liapunov's method.