A new nonlinear discrete inequality and its application. (English) Zbl 0997.26009

Yang, Enhao

Ann. Differ. Equations 17, No. 3, 261-267 (2001).

Authors abstract: “A new discrete inequality with the power nonlinearity is obtained which unifies and generalizes some known results due to B. G. Pachpatte. A certain initial value problem of a sum-difference equation is also given to convey the usefulness of the inequality obtained”.

Reviewer: B.G.Pachpatte (Aurangabad)

MSC:

26D10	Inequalities involving derivatives and differential and integral operators
39A12	Discrete version of topics in analysis
39A05	General theory of difference equations

Keywords:

discrete inequality; power nonlinearity; initial value problem; sum-difference equation