Solutions to Second-order Three-point Problems on Time Scales

By Douglas R. Anderson. 2002

154 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7418060bc5f51af073751d89b641f811b4ff3710

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In Applied Mathematics

In Numerical Analysis

Citations in the corpus

POSITIVE SOLUTIONS OF A THREE-POINT BOUNDARY-VALUE PROBLEM ON A TIME SCALE (2003, methodology): “Preliminaries We will need the following lemmas, whose proofs can be found in Anderson [2], in order to prove our main theorems.”
Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales (2007, background): “Recently, there is much attention paid to question of positive solutions of boundary value problems for second order dynamic equations on time scales, see [4–9,11,12,15–17,19–21,27, 32,35,36].”
On a discrete fractional three-point boundary value problem (2012, background): “In the discrete case, one can consult [3,10,13,21,22,26] for some of the work completed in discrete multipoint BVPs.”
Positive solutions for nonlinear three-point boundary value problems on time scales (2004, background): “Our results include and extend the main results of Anderson [5] (γ = 0), Kaufmann [19] (γ = 0), Sun and Li [28] (β = 0) for the general time scaleT, and He and Ge [15] (γ = 0), Liu [24] (β = 0), Liu [25] and Ma [26] (γ = 0), Sun and Li [29] and Webb [30] (β = 0 orγ = 0) for T = R.”
On First Order Impulsive Dynamic Equations on Time Scales (2004, methodology): “The existence of solutions of boundary value problem on a time scale was recently studied by Agarwal and O’Regan [4], Anderson, [7], Anderson, [9], Henderson [21] and Sum and Li [26].”
Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales (2004, background): “For more on delta-nabla dynamic equations, first introduced by Atici and Guseinov [9], see [4], [5], [6], and [31].”
Existence results for singular three point boundary value problems on time scales (2004, methodology): “Various aspects of mixed problems hav investigated in the literature, such as Green’s functions [9,11], the existence of m positive solutions [5], and the quasilinearization method [10].”