Rodica Luca, Ciprian Deliu “Gh. Asachi” Technical University, Department of Mathematics, Iaşi, Romania [email protected], [email protected] Abstract We study the existence and nonexistence of positive solutions for a system of nonlinear higher-order ordinary differential equations with multi-point boundary conditions.

In this paper the authors classified all solutions of the following equation ∆ ( an ( ∆(xn + cnxn−k) )α) + pnf(xn−l) − qng(xn−m) = 0 into four classes and obtain conditions for the existence/nonexistence of solutions in these classes. Examples are provided to illustrate the results.

We study the existence of cylindrically symmetric electro-magnetostatic solitary waves for a system of a nonlinear Klein–Gordon equation coupled with Maxwell’s equations in presence of a positive mass and of a nonnegative nonlinear potential. Nonexistence results are provided as well.

In this paper we study an eigenvalue boundary value problem which arises when seeking radial convex solutions of the Monge-Ampère equations. We shall establish several criteria for the existence, multiplicity and nonexistence of strictly convex solutions for the boundary value problem with or without an eigenvalue parameter.

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem −u + Mu = f(t, u), t ∈ (0, 1) with Neumann boundary conditions u(0) = u(1) = 0, where M > 0, f ∈ C([0, 1] × R, R). By making use of fixed point index theory in cones, some new results are obtained. Full text

A complete algebraic characterization of the first integrals Higgins–Selkov, Selkov and Brusellator oscillators is given here. The existence symmetries sometimes forces such integrals. nonexistence centers for also proved. In order to determine Puiseux integrability systems, multiple solutions are studied.

In this paper, we consider the system of boundary value problems for higherdimensional dynamic equations on time scales. We establish criteria for the existence of at least one or two positive solutions. We shall also obtain criteria which lead to nonexistence of positive solutions. Examples applying our results are also given.

Based on the Krasnoselskii theorem, we study the existence, multiplicity and nonexistence of positive solutions of general systems of nonlinear algebraic equations under superlinearity and sublinearity conditions. Systems of nonlinear algebraic equations often arise from studies of differential and difference equations. Our results significantly extend and improve those in the literature. A num...

In this article, we study existence, uniqueness and nonexistence of positive solution to a highly nonlinear coupled system of fractional order differential equations. Necessary and sufficient conditions for the existence and uniqueness of positive solution are developed by using Perov's fixed point theorem for the considered problem. Further, we also established sufficient conditions for existe...