Mixed problem with integral conditions for a certain class of hyperbolic equations. Issue 3 (16th September 2001)

• Record Type: Journal Article
• Authors: Mesloub, Said; Bouziani, Abdelfatah
• Is Part Of: Journal of applied mathematics. Volume 1:Issue 3(2001)
• Page Start: 107
• Page End: 116
• Publication Date: 2001-09-16
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/S1110757X01000365
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We study a mixed problem with purely integral conditions for a class of two-dimensional second-order hyperbolic equations. We prove the existence, uniqueness, and the continuous dependence upon the data of a generalized solution. We use a functional analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.