Stability of the Gumowski-Mira equation with period-two coefficient

We investigate the stability of solutions of the Gumowski-Mira equation with a period-two coefficient:

     

On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces

In this paper we investigate the Hyers-Ulam-Rassias stability of the following functional equation:

     

On a singular case in the Hyers-Ulam-Rassias stability of the Wigner equation

Investigating the stability of the Wigner equation where the class of its approximate solutions is defined by the inequality

     

The global attractivity of a higher order rational difference equation

This paper studies global asymptotic stability for positive solutions to the equation

     

Persistence and global stability in discrete models of pure-delay nonautonomous Lotka-Volterra type

Consider the persistence and the global asymptotic stability of the following discrete model of pure-delay nonautonomous Lotka-Volterra type:

     

Stability of a Jensen type equation in the space of generalized functions

We reformulate and solve the stability problem of a Jensen type functional equation

     

Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives

We discuss existence, uniqueness and stability of solutions of the system of nonlinear fractional differential equations

     

On stability of some linear and nonlinear delay differential equations

New explicit conditions of exponential stability are obtained for the nonautonomous equation with several delays

     

On exponential stability of linear differential equations with several delays

New explicit conditions of exponential stability are obtained for the nonautonomous linear equation

     

Exponential stability for impulsive delay differential equations by Razumikhin method

In this paper, we study exponential stability for impulsive delay differential equation of the form

     

Existence and stability of bounded solutions for a system of parabolic equations

In this paper we study the existence and the stability of bounded solutions of the following non-linear system of parabolic equations with homogeneous Dirichlet boundary conditions:

     

On a Cauchy-Jensen functional equation and its stability

In this paper, we obtain the general solution and stability of the Cauchy-Jensen functional equation

     

Explicit exponential stability conditions for linear differential equations with several delays

New explicit conditions of exponential stability are obtained for the nonautonomous linear equation

     

A stability of the generalized sine functional equations

In this paper we will investigate the stability of the generalized (pexiderized) sine functional equation

     

Ulam stability problem for generalized A-quadratic mappings

It is the purpose of this paper to investigate the stability problem of Ulam for an approximate mapping for the following generalized quadratic functional equation:

     

Persistence and global stability in discrete models of Lotka-Volterra type

In this paper, we establish new sufficient conditions for global asymptotic stability of the positive equilibrium in the following discrete models of Lotka-Volterra type:

     

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

     

Note on permanence and global stability in delayed ratio-dependent predator-prey models with monotonic functional responses

Sufficient conditions of the permanence and global stability for the general delayed ratio-dependent predator-prey model