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Displaying 61 – 80 of 517

Asymptotic expansions for higher-order scalar difference equations.

Agarwal, Ravi P., Pituk, Mihály (2007)

Advances in Difference Equations [electronic only]

Asymptotic instability of nonlinear differential equations.

Avis, Rafael, Naulin, Raúl (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic properties of solutions of higher order difference equations

Janusz Migda (2010)

Mathematica Bohemica

Asymptotic properties of solutions of the difference equation of the form $Δ^{m} x_{n} = a_{n} ϕ (x_{τ_{1} (n)}, \dots, x_{τ_{k} (n)}) + b_{n}$ are studied. Conditions under which every (every bounded) solution of the equation $Δ^{m} y_{n} = b_{n}$ is asymptotically equivalent to some solution of the above equation are obtained.

Asymptotic properties of solutions of nonautonomous difference equations

Janusz Migda (2010)

Archivum Mathematicum

Asymptotic properties of solutions of difference equation of the form $Δ^{m} x_{n} = a_{n} ϕ_{n} (x_{σ (n)}) + b_{n}$ are studied. Conditions under which every (every bounded) solution of the equation $Δ^{m} y_{n} = b_{n}$ is asymptotically equivalent to some solution of the above equation are obtained. Moreover, the conditions under which every polynomial sequence of degree less than $m$ is asymptotically equivalent to some solution of the equation and every solution is asymptotically polynomial are obtained. The consequences of the existence of asymptotically...

Asymptotic properties of solutions of second-order difference equations

Jarosław Morchało (2002)

Archivum Mathematicum

Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.

Asymptotic representation of the solutions of linear Volterra difference equations.

Győri, István, Horváth, László (2008)

Advances in Difference Equations [electronic only]

Asymptotic Solutions of nonlinear difference equations

I. P. van den Berg (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.