On a max-type and a min-type difference equation

This note shows that every positive solution to the following third order non–autonomous max-type difference equation

when is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation

     

Perturbations of the half-linear Euler-Weber type differential equation

We investigate oscillatory properties of the half-linear second order differential equation

     

Existence of positive solutions of halflinear delay differential equation

In this paper we consider the halflinear delay differential equation

     

Eigenvalue comparisons for boundary value problems for second order difference equations

We consider the eigenvalue problems for boundary value problems of second order difference equations

(1)

and

(2)

Comparison results for the eigenvalues of the problem (1) and the problem (2) are established.     

On the structure of positive solutions to an elliptic problem arising in thin film equations

We consider the structure of positive radial solutions of

     

Ordinary differential equations in the oscillation theory of partial half-linear differential equation

In the paper we study the damped half-linear partial differential equation

     

Stability of an alternative functional equation

Let map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability of the following alternative functional equation

     

Existence and asymptotic stability for evolution problems on manifolds with damping and source terms

One considers the nonlinear evolution equation with source and damping terms

     

Boundary layer phenomena for differential-delay equations with state-dependent time lags: III

We consider a class of singularly perturbed delay-differential equations of the form

     

Periodic solutions of neutral nonlinear system of differential equations with functional delay

We study the existence of periodic solutions of the nonlinear neutral system of differential equations of the form

     

Global stability for nonlinear difference equations with variable coefficients

Consider the following nonlinear difference equation with variable coefficients:

     

Periodically forced Pielou's equation

We investigate the global character of solutions of the periodically forced Pielou's equation