We investigate a class of singular m-point p-Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential (T = R) and differ...

In this paper, we are concerned with proving the existence of positive solutions of a nonlinear second order m-point boundary value problem (m-PBVP) on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. AMS subject classification: 39A10, 34B18, 34B40, 45G10.

By using the coincidence degree theory, we consider the following 2m-point boundary value problem for fractional differential equationD 0 u t f t, u t , D α−1 0 u t , D α−2 0 u t e t , 0 < t < 1, I3−α 0 u t |t 0 0, Dα−2 0 u 1 ∑m−2 i 1 aiD α−2 0 u ξi , u 1 ∑m−2 i 1 biu ηi , where 2 < α ≤ 3, D 0 and I 0 are the standard Riemann-Liouville fractional derivative and fractional integral, respectively...

This paper deals with the existence of solutions of the periodic boundary value problem of the impulsive Duffing equations: x′′ t αx′ t βx t f t, x t , x α1 t , . . . , x αn t , a.e. t ∈ 0, T , Δx tk Ik x tk , x′ tk , k 1, . . . , m, Δx′ tk Jk x tk , x′ tk , k 1, . . . , m, x i 0 x i T , i 0, 1. Sufficient conditions are established for the existence of at least one solution of above-mentioned ...

this article is devoted to the study of existence and multiplicity of positive solutions to aclass of nonlinear fractional order multi-point boundary value problems of the type−dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where dq0+ represents standard riemann-liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ∞...