Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation uxt=F(x, t, u, ux). (1990)

• Record Type: Journal Article
• Authors: Byszewski, L.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 3:Number 3(1990)
• Page Start: 163
• Page End: 168
• Publication Date: 1990
• Subjects: nonlinear hyperbolic problems -- nonlocal conditions -- integral equations -- existence and uniqueness -- Banach theorem; 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/S1048953390000156
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The aim of the paper is to give two theorems about existence and uniqueness of continuous solutions for hyperbolic nonlinear differential problems with nonlocal conditions in bounded and unbounded domains. The results obtained in this paper can be applied in the theory of elasticity with better effect than analogous known results with classical initial conditions.