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We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical

The purpose of present paper is to give a necessary and sufficient conditions so that the linear nonhomogeneous Lyapunov matrix differential equation (1) have at.. Preliminaries...

Key words and phrases: Boundary value problem, lower and upper solutions, ordi- nary differential equation, higher order, positive solution, perturbation methods, fixed point..

We prove necessary and sufficient conditions for Ψ − (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation. But the obtained results in

In this paper we consider the Cauchy problem for a nonautonomous second order differential- delay equation and derive conditions that provide the positivity of the Green function..

In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type.. By using some

Keywords: Existence and uniqueness; positive solution; fixed point theorem of generalized concave operators; Neumann boundary value problem; second order impulsive

R., The fixed points and hyper-order of solutions of second order linear differential equations with meromorphic functions. C., Uniqueness theory of