This paper is concerned with the existence of multiple positive solutions for a functional dynamic equations with multi-point boundary conditions on time scales by using fixed point theorems in a cone. As an application, we also give an example to demonstrate our results.

We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’skĭı’s compression-expansion theorem, and unilateral Harnack type inequalities.

A scalar non-autonomous periodic differential equation with delays arising from a delay host macroparasite model is studied. Two results are presented for the equation to have at least two positive periodic solutions: the hypotheses of the first result involve delays, while the second result holds for arbitrary delays.

has been studied extensively by many researchers, where 2 < p < 6. This system has been first introduced in [5] as a physical model describing a charged wave interacting with its own electrostatic field in quantum mechanic. The unknowns u and Φ represent the wave functions associated to the particle and electric potential, and functions V and K are respectively an external potential and nonnega...

In this paper, we obtain new existence results for multiple positive solutions of a delay singular differential boundary-value problem. Our main tool is the fixed point index method.

In this paper we investigate the existence of positive solutions to the following Schrödinger-Poisson-Slater system

In this paper, we consider the following problem: − u= f (u) in , u= 0 on ∂ , (1.1) where is the ball BR = {x ∈ R ; |x| < R}, | · | is the Euclidean norm in R, and f : R+ → R is a locally Lipschitzian continuous function. We are concerned with two classes of problems, namely, (i) the positone problem: f (0)≥ 0; (ii) the non-positone problem: f (0) < 0. The study of positone problems was initiat...