Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales
نویسندگان
چکیده
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 paper essentially extend and improve the known results.
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