Twin solutions of boundary value problems for ordinary differential equations and finite difference equations

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Title:	Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
Authors:	Avery, R. C.;Chyan, Chuan-jen;Henderson, J.
Contributors:	淡江大學數學學系
Keywords:	Differential equation;Difference equation;Multiple solutions
Date:	2001-08-01
Issue Date:	2010-01-28 06:57:42 (UTC+8)
Publisher:	Elsevier
Abstract:	A new twin fixed-point theorem is applied first to obtain the existence of at least two positive solutions for the right focal boundary value problem y″ + f(ity) = 0, 0 <- t <- 1, y(0) = y′(1) = 0. It is applied later to obtain the existence of at least two positive solutions for the analogous discrete right focal boundary value problem Δ2u(k) + g(u(k)) = 0, k ϵ {0, … ,N}, u(0) = Δu(N + 1) = 0.
Relation:	Computers and Mathematics With Applications 42(3-5), pp.695-704
DOI:	10.1016/S0898-1221(01)00188-2
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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