Solvability of a one-parameter class of nonlinear second-order difference equations by invariants

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题名:	Solvability of a one-parameter class of nonlinear second-order difference equations by invariants
作者:	Stevo Stević
贡献者:	資訊工程學系
日期:	2019-02
上传时间:	2019-09-18 03:29:28 (UTC+0)
摘要:	By using an invariant we show in an original and quite unexpected way that a one-parameter class of nonlinear second-order difference equations is solvable in closed form, improving and theoretically explaining a recent result in the literature. As a motivation for this and also for general use of invariants for difference equations in solvability, we also demonstrate an application of the method of invariants on a very basic example of linear first-order difference equation with constant coefficients explaining a frequently confused detail. We also give a general hint how the method can be applied for the case of difference equations of any order.
關聯:	Advances in Difference Equations
显示于类别:	[資訊工程學系] 期刊論文

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