Nonlinear triple-point problems on time scales
Date
2004-04-06
Authors
Anderson, Douglas R.
Journal Title
Journal ISSN
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