Existence of Positive Solutions for Semipositone Higher-Order BVPS on Time Scales
نویسندگان
چکیده
We offer conditions on semipositone function f t, u0, u1, . . . , un−2 such that the boundary value problem, uΔ n t f t, u σn−1 t , uΔ σn−2 t , . . . , uΔ n−2 σ t 0, t ∈ 0, 1 ∩ T, n ≥ 2, uΔi 0 0, i 0, 1, . . . , n − 3, αuΔ 0 − βuΔ 0 0, γuΔ σ 1 δuΔ σ 1 0, has at least one positive solution, where T is a time scale and f t, u0, u1, . . . , un−2 ∈ C 0, 1 × R 0,∞ n−1,R −∞,∞ is continuous with f t, u0, u1, . . . , un−2 ≥ −M for some positive constantM.
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