Journal of Applied Mathematics and Stochastic Analysis 
Volume 3 (1990), Issue 4, Pages 245-252
doi:10.1155/S1048953390000223

Rothe's method to semilinear hyperbolic integrodifferential equations

D. Bahaguna,1 A. K. Pani,2 and V. Raghavendra1

 1Department of Mathematics, Indian Institute of Technology, Kanpur, Kanpur 208 016, India
2Department of Mathematics, lndian Institute of Technology, Bombay, Powai, Bombay 400076, India
Received 1 April 1989; Revised 1 September 1989

Abstract

In this paper we consider an application of Rothe's method to abstract semi-linear hyperbolic integrodifferential equations in Hilbert spaces. With the aid of Rothe's method we establish the existence of a unique strong solution.