J Austral Math Soc Ser A 47 pp153--170, 1989.

The Method of Upper, Lower Solutions and Monotone Iterative Scheme for Higher Order Hyperbolic Partial Differential Equations

Ravi P. Agarwal

(Received 25 September 1987)

Abstract

Uniformly monotone convergent iterative methods for obtaining multiple solutions of (n + m)th order hyperbolic partial differential equations together with initial conditions are discussed. Appropriate partial differential inequalities which connect upper and lower solutions, and variation of parameters formula is developed.

1980 AMS Subject Classification (1985 Revision): 35H05, 35A35

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Authors

Ravi P. Agarwal: Department of Mathematics, National University of Singapore, 10 Kent Rifge Crescent, Singapore 0511.

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Last Modified: Wed Feb 19 10:27:51 2003