Rothe's method to semilinear hyperbolic integrodifferential equations. (1990)

• Record Type: Journal Article
• Authors: Bahaguna, D.; Pani, A. K.; Raghavendra, V.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 3:Number 4(1990)
• Page Start: 245
• Page End: 252
• Publication Date: 1990
• Subjects: Rothe's method -- positive definite operator -- V-elliptic operator -- Lax-Milgram lemma; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953390000223
• Languages: English
• ISSNs: 1048-9533

Abstract

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.