Nonlinear triple-point problems on time scales

Date

2004-04-06

Authors

Anderson, Douglas R.

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We establish the existence of multiple positive solutions to the nonlinear second-order triple-point boundary-value problem on time scales, u∆∇(t) + h(t)ƒ(t, u(t)) = 0, u(ɑ) = αu(b) + δu∆ (α), βu(c) + γu∆ (c) = 0 for t ∈ [α, c] ⊂ Τ, where Τ is a time scale, β, γ, δ ≥ 0 with β + γ > 0, 0 < α < c-α/ c-b and b ∈ (a, c) ⊂ T.

Description

Keywords

Fixed-point theorems, Time scales, Dynamic equations, Cone

Citation

Anderson, D. R. (2004). Nonlinear triple-point problems on time scales. <i>Electronic Journal of Differential Equations, 2004</i>(47), pp. 1-12.

Rights

Attribution 4.0 International

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