| Existence Results for Higher-Order Boundary Value Problems on Time Scales (2009) | |||||||||
Abstract | |||||||||
| 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 uΔn(t)+g(t)f(u(t),uΔ(t),…,uΔn−2(t))=0, 0<t<T; uΔi(0)=0, 0≤i≤n−3; αuΔn−2(0)−βuΔn−1(ξ)=0, n≥3; γuΔn−2(T)+δuΔn−1(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. | |||||||||
Publication details | |||||||||
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