Stability of steady states of the Cauchy problem for the exponential reaction-diffusion equation

We consider the Cauchy problem

     

The global attractivity of a higher order rational difference equation

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

     

On the stability in periodic and almost periodic difference systems

In this paper we consider the system of difference equations

     

Stability for the time-dependent Hartree equation with positive energy

In this paper, we show that the H¹ solutions to the time-dependent Hartree 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:

     

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:

     

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:

     

Convergence of cascade algorithms by frequency approach

Starting with an initial function ?₀, the cascade algorithm generates a sequence by cascade operator Qa defined by

     

On multiplicity and stability of positive solutions of a diffusive prey-predator model

In the paper, we consider the following diffusive prey-predator model:

     

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

     

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

     

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

     

A stability of the generalized sine functional equations

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

     

Stability of large- and small-amplitude solitary waves in the generalized Korteweg-de Vries and Euler-Korteweg/Boussinesq equations

This paper establishes that solitary waves for the generalized Korteweg-de Vries equation and for the generalized Boussinesq equation are stable if the flux function p satisfies

     

On the general problem of stability for impulsive differential equations

Criteria for stability, asymptotical stability and instability of the nontrivial solutions of the impulsive system

     

On approximately higher ring derivations

In this paper, we examine the Hyers-Ulam, the Isac and Rassias-type stability and the Bourgin-type superstability of a functional inequality corresponding to the following functional equation, respectively:

     

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

In this paper, we consider the variable-order nonlinear fractional diffusion equation

     

The Fibonacci sequence modulo π, chaos and some rational recursive equations

In this paper, we provide the closed form solution to the inter-related equations