In this paper, we study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the p-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions.

In this paper, we study the existence of positive solutions to nonlinear m-point boundary-value problems for a p-Laplacian dynamic equation on time scales. We use fixed point theorems in cones and obtain criteria that generalize and improve known results.

We consider the existence of positive solutions for a class of discrete second-order four-point boundary value problem with p-Laplacian. Using the well known Krasnosel’skii’s fixed point theorem, some new existence criteria for positive solutions of the boundary value problem are presented.

This paper aims to investigate existence of solutions of several boundary value problems for fractional one-dimensional p-Laplacian equation under controlled parameters. By employing fixed point theory and critical point theory, some new results are obtained, which enrich and generalize the previous results. c ©2017 All rights reserved.

In this paper, several existence results of multiple positive solutions are obtained for a boundary value problem with p-Laplacian, by applying a fixed point theorem in cones. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

in this paper, we prove some approximate fixed point results for proximinal valued $beta$-contractive multifunctions on metric spaces. we show that our results generalize some old fixed point results in the literature.

in this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

This paper is concerned with the one-dimensional p-Laplacian multi-point boundary value problem on time scales : (φp(u Δ))∇ + h(t)f(u) = 0, t ∈ [0, T ] , subject to multi-point boundary conditions u(0) −B0 m−2 i=1 aiu (ξi) = 0, u(T ) = 0, or u(0) = 0, u(T ) + B1 m−2 i=1 biu Δ(ξ′ i) = 0, where φp(u) is p-Laplacian operator, i.e., φp(u) = |u| u, p > 1, ξi, ξ′ i ∈ [0, T ] , m ≥ 3 and satisfy 0 ≤ ξ...

We are concerned with a four-point boundary-value problem of the p-Laplacian dynamic equation on time scales where the nonlinear term contains the first-order derivatives of the dependent variable. By using Krasnosel’skii’s fixed-point theorem, some new sufficient conditions are obtained for the existence of at least single or twin positive pseudo-symmetric solutions to this problem. We also es...

By applying impulsive control, this work investigated the global stabilization of a single-species ecosystem with Markovian jumping, time delay and Neumann boundary condition. Variational methods, fixed-point theorem, Laplacian semigroup theory were employed to derive unique existence stable equilibrium point, which is positive number. Numerical examples illuminate feasibility proposed methods.