Triple solutions of focal boundary value problems on time scale

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Title:	Triple solutions of focal boundary value problems on time scale
Authors:	錢傳仁;Chyan, Chuan-jen;Wong, Patricia J. Y.
Contributors:	淡江大學數學學系
Keywords:	Time scale;Fixed-point theorems;Boundary value problems;Focal boundary conditions;Positive solutions Time scale;Fixed-point theorems;Boundary value problems;Focal boundary conditions;Positive solutions
Date:	2005-05
Issue Date:	2010-01-28 06:57:50 (UTC+8)
Publisher:	Elsevier
Abstract:	We consider the following differential equation on a time scale T, yΔΔ(t)+P(t,y(σ(t)))=0,t∈[a,b]∩T, together with focal boundary conditions, y(a)=0,yΔ(σ(b))=0, where a,b ε T and a < σ (b). By using two different fixed-point theorems, criteria are established for the existence of triple positive solutions of the boundary value problem. We also include some examples to illustrate the results obtained.
Relation:	Computers and Mathematics With Applications 49(7-8), pp.963-979
DOI:	10.1016/j.camwa.2005.01.015
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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