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The method of upper, lower solutions and monotone iterative scheme for higher order hyperbolic partial differential equations

Part of: Partial differential equations

Published online by Cambridge University Press:  09 April 2009

Ravi P. Agarwal
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge CrescentSingapore0511
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Abstract

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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.

MSC classification

Secondary: 35A35: Theoretical approximation to solutions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 1 , August 1989 , pp. 153 - 170
Copyright
Copyright © Australian Mathematical Society 1989

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