Multiple Positive Solutions for a Class of m-Point Boundary Value Problems on Time Scales
نویسندگان
چکیده
منابع مشابه
Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian
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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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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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2009
ISSN: 1687-1839,1687-1847
DOI: 10.1155/2009/219251