Positive Solutions of Two-Point Right Focal Eigenvalue Problems on Time Scales

Two-point right focal eigenvalue problems on time scales

We offer criteria for the existence of positive solutions for two-point right focal eigenvalue problems (−1) n−p y Δ n (t) = λ f (t, y(σ n−1 (t)), y Δ (σ n−2 (t)),..., y Δ p−1 (σ n−p (t))), t ∈ [0,1] ∩ T, y Δ i (0) = 0, 0 ≤ i ≤ p − 1, y Δ i (σ(1)) = 0, p ≤ i ≤ n − 1, where λ > 0, n ≥ 2,1 ≤ p ≤ n − 1 are fixed and T is a time scale.

Positive Solutions of Two-point right focal boundary value problems on time scales

Research Article Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian

‎In this paper‎, ‎we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian‎ ‎dynamic equation on time scales‎. ‎We prove the existence at least three positive solutions of the boundary‎ ‎value problem by using the Avery and Peterson fixed point theorem‎. ‎The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly‎. ‎Our results ...

SECOND-ORDER n-POINT EIGENVALUE PROBLEMS ON TIME SCALES