Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales
نویسندگان
چکیده
منابع مشابه
Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales
We are concerned with the following nonlinear second-order three-point boundary value problem on time scales −xΔΔ t f t, x t , t ∈ a, b T , x a 0, x σ2 b δx η , where a, b ∈ T with a < b, η ∈ a, b T and 0 < δ < σ2 b − a / η − a . A new representation of Green’s function for the corresponding linear boundary value problem is obtained and some existence criteria of at least one positive solution ...
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2 School of Mathematics The University of New South Wales, Sydney NSW 2052, Australia Abstract:We consider a boundary value problem (BVP) for systems of second-order dynamic equations on time scales. Using methods involving dynamic inequalities, we formulate conditions under which all solutions to a certain family of systems of dynamic equations satisfy certain a priori bounds. These results ar...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2009
ISSN: 1687-2762,1687-2770
DOI: 10.1155/2009/685040