$\Psi$-Stability for Nonlinear Difference Equations

T. S. Rao, G. Suresh Kumar, M.S. N. Murty

Abstract


This paper deals with obtaining sufficient conditions for the $\Psi$-(uniform)stability of trivial solutions of linear  and nonlinear difference equations on $\mathbb{N}$. And also we provide a way to construct (uniformly)stable difference equation from the given equation using the concept of $\Psi$-(uniform)stability.

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|ISSN 1686-0209|