Solutions to second-order three-point problems on time scales

DR Anderson - Journal of Difference Equations and Applications, 2002 - Taylor & Francis
In the first part of the paper, we establish the existence of multiple positive solutions to the
nonlinear second-order three-point boundary value problem on time scales, u▵▿(t)+ f (t, u …

Positive solutions for nonlinear three-point boundary value problems on time scales

HR Sun, WT Li - Journal of Mathematical Analysis and Applications, 2004 - Elsevier
Let T be a time scale such that 0, T∈ T. Consider the following three-point boundary value
problem on time scales: where β, γ⩾ 0, β+ γ> 0, η∈(0, ρ (T)), 0< α 0. By using fixed point …

Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales

HR Sun, WT Li - Journal of Differential Equations, 2007 - Elsevier
In this paper we consider the one-dimensional p-Laplacian boundary value problem on time
scales where φp (u) is p-Laplacian operator, ie, φp (u)=| u| p− 2u, p> 1. Some new results …

[PDF][PDF] Positive solutions to a generalized second-order three-point boundary-value problem on time scales.

H Luo, Q Ma - Electronic Journal of Differential Equations (EJDE) …, 2005 - eudml.org
Let T be at ime scale with 0, T∈ T. We investigate the existence and multiplicity of positive
solutions to the nonlinear second-order three-point boundary-value problem u∆∇(t)+ a (t) f …

Upper and lower solution method for a fourth-order four-point boundary value problem on time scales

Y Pang, Z Bai - Applied Mathematics and Computation, 2009 - Elsevier
Upper and lower solution method for a fourth-order four-point boundary value problem on time
scales - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

[PDF][PDF] Nonlinear triple-point problems on time scales.

DR Anderson - Electronic Journal of Differential Equations (EJDE) …, 2004 - eudml.org
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) f (t, u (t))= 0, u (a)= αu (b)+ …

Existence of positive solutions to second-order time scale systems

HR Sun - Computers & Mathematics with Applications, 2005 - Elsevier
In this paper, the author consider the following dynamic system on a measure chain,
satisfying Sturm-Liouville boundary conditions, Some new results are obtained for the …

Eigenvalue problems for second-order nonlinear dynamic equations on time scales

WT Li, XL Liu - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
This paper is concerned with the existence and nonexistence of positive solutions of the
second-order nonlinear dynamic equation uΔΔ (t)+ λa (t) f (u (σ (t)))= 0, t∈[0, 1], satisfying …

Positive solutions for nonlinear m-point boundary value problems on time scales

SUN Hong Rui, WT LI - Acta Mathematica Sinica, Chinese …, 2006 - actamath.cjoe.ac.cn
Let T be a time scale such that 0, T∈ T. Consider the following m-point boundary value
problem on time scales (0, p (T)), ai∈[0,∞)(for i= 1,..., m-2) are given constants satisfying …

[PDF][PDF] Positive solutions of four-point boundary-value problems for four-order-Laplacian dynamic equations on time scales.

H Su, B Wang, Z Wei - Electronic Journal of Differential Equations (EJDE) …, 2006 - eudml.org
We study the existence of positive solutions for the nonlinear fourpoint singular boundary-
value problem with p− Laplacian operator on t ime scales. By using the fixed-point index …