Existence Results for Higher-Order Boundary Value Problems on Time Scales
نویسندگان
چکیده
By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales uΔ n t g t f u t , uΔ t , . . . , uΔ n−2 t 0, 0 < t < T ; uΔ i 0 0, 0 ≤ i ≤ n−3; αuΔ 0 −βuΔ ξ 0, n ≥ 3; γuΔ T δuΔ η 0, n ≥ 3, where α > 0, β ≥ 0, γ > 0, δ ≥ 0, ξ, η ∈ 0, T , ξ < η, and g : 0, T → 0, ∞ is rd-continuous.
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