Existence of solutions for discontinuous hyperbolic partial differential equations in Banach algebras
Date
2006-03-09
Authors
Dhage, Bupurao C.
Ntouyas, Sotiris
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we prove an existence theorem for hyperbolic differential equations in Banach algebras under Lipschitz and Caratheodory conditions. The existence of extremal solutions is also proved under certain monotonicity conditions.
Description
Keywords
Hyperbolic differential equation, Banach algebras
Citation
Dhage, B. C., & Ntouyas, S. K. (2006). Existence of solutions for discontinuous hyperbolic partial differential equations in Banach algebras. <i>Electronic Journal of Differential Equations, 2006</i>(28), pp. 1-10.
Rights
Attribution 4.0 International