A Non-Local Problem with Integral Conditions for Hyperbolic Equations
Date
1999-11-15
Authors
Pulkina, Ludmila S.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
A linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and uniqueness of a generalized solution.
Description
Keywords
Non-local problem, Generalized solution
Citation
Pulkina, L. S. (1999). A non-local problem with integral conditions for hyperbolic equations. <i>Electronic Journal of Differential Equations, 1999</i>(45), pp. 1-6.
Rights
Attribution 4.0 International