Existence of positive solutions for nonlinear third-order m-point boundary value problems on time scales
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales
We study the following third-order p-Laplacian m-point boundary value problems on time scales: φp uΔ∇ ∇ a t f t, u t 0, t ∈ 0, T T, βu 0 − γuΔ 0 0, u T ∑m−2 i 1 aiu ξi , φp u Δ∇ 0 ∑m−2 i 1 biφp u Δ∇ ξi , where φp s is p-Laplacian operator, that is, φp s |s|p−2s, p > 1, φ−1 p φq, 1/p 1/q 1, 0 < ξ1 < · · · < ξm−2 < ρ T . We obtain the existence of positive solutions by using fixed-point theorem i...
متن کاملExistence of positive solutions for nonlinear m-point boundary value problems on time scales
where T is a time scale such that 0, T ∈ T, δ,βi > 0, i = 1, . . . , m − 2, jp(s) = |s|s,p > 1,h Î Cld((0, T), (0, +∞)), and f Î C([0,+∞), (0,+∞)), 0 < ξ1 < ξ2 < · · · < ξm−2 < T ∈ T. By using several well-known fixed point theorems in a cone, the existence of at least one, two, or three positive solutions are obtained. Examples are also given in this article. AMS Subject Classification: 34B10;...
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We study the following third-order m-point boundary value problems on time scales φ uΔ∇ ∇ a t f u t 0, t ∈ 0, T T, u 0 ∑m−2 i 1 biu ξi , u Δ T 0, φ uΔ∇ 0 ∑m−2 i 1 ciφ u Δ∇ ξi , where φ : R → R is an increasing homeomorphism and homomorphism and φ 0 0, 0 < ξ1 < · · · < ξm−2 < ρ T . We obtain the existence of three positive solutions by using fixed-point theorem in cones. The conclusions in this ...
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In this paper, we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly. Our results ...
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ژورنال
عنوان ژورنال: Filomat
سال: 2014
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1405925k