In this paper, by using Guo-Krasnosel’skii fixed point theorem in cones, we study the existence, multiplicity and infinite solvability of positive solutions for the following three-point boundary value problems for p-Laplacian dynamic equations on time scales [Φp(u 4(t))]O + a(t)f(t, u(t)) = 0, t ∈ [0, T ]T, u(0)−B0(u(η)) = 0, u4(T ) = 0. By multiplicity we mean the existence of arbitrary numbe...

Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. As an application, an example to demonstrate our results is given. The obtained conditions ...

in this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. some of these results are improved by using different arguments of control functions. examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

‎in this paper‎, ‎by using four functionals fixed point theorem‎, ‎we obtain sufficient conditions for the existence of‎ ‎at least one positive solution of an $n$th-order $m$-point boundary value problem‎. ‎as an application‎, ‎we give an example to demonstrate our main result.

In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations nonlocal boundary value problems with parameters and p-Laplacian operator. Under different combinations of superlinearity and sublinearity of the nonlinearities, various existence results for positive solutions are derived in terms of different values of parameters via t...

In this paper, existence criteria of three positive solutions to the followimg p-Laplacian functional dynamic equation on time scales { [ Φp(u (t)) 5 + a(t)f(u(t), u(μ(t))) = 0, t ∈ (0, T ) , u0(t) = φ(t), t ∈ [−r, 0] , u(0)−B0(u (η)) = 0, u(T ) = 0, are established by using the well-known Five Functionals Fixed Point Theorem.

In this paper, we consider the multiplicity of positive solutions for one-dimensional p-laplacian differential equation on the half line. By using fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.

ABSTRACT. In this paper, we establish the existence of at least three positive solutions for thirdorder impulsive Sturm-Liouville boundary value problems with p-Laplacian, by a fixed point theorem due to Avery and Peterson. We discuss our problem both for advanced and delayed arguments. An example is included to illustrate that corresponding assumptions are satisfied.

In this paper, we study a class of integral boundary value problems for nonlinear differential equations of fractional order with p-Laplacian operator. Under some suitable assumptions, a new result on the existence of solutions is obtained by using a standard fixed point theorem. An example is included to show the applicability of our result.

In this article, we consider nonlocal p-Laplacian boundary-value problems with integral boundary conditions and a non-negative real-valued boundary condition as a parameter. The main purpose is to study the existence, nonexistence and multiplicity of positive solutions as the boundary parameter varies. Moreover, we prove a sub-super solution theorem, using fixed point index theorems.