# An Application of Discrete Inequality to Second Order Nonlinear Oscillation

E. Thandapani, I. Győri, B. S. Lalli

Research output: Contribution to journalArticle

36 Citations (Scopus)

### Abstract

By using some simple discrete inequalities oscillation criteria are provided for the second order difference equations Δ2yn+an+1f{hook}(yn+1) =0 n∈N where the operator Δ is defined by Δyn=yn+1-yn, {an} is a real sequence. The function f{hook} is such that uf{hook}(u)>0 for u≠0 and f{hook}(u)-f{hook}(v)=g(u, v)(u-v) for u, v≠0 for some nonnegative function g.

Original language English 200-208 9 Journal of Mathematical Analysis and Applications 186 1 https://doi.org/10.1006/jmaa.1994.1294 Published - Aug 15 1994

### Fingerprint

Nonlinear Oscillations
Second-order Difference Equations
Oscillation Criteria
G-function
Non-negative
Difference equations
Operator

### ASJC Scopus subject areas

• Applied Mathematics
• Analysis

### Cite this

An Application of Discrete Inequality to Second Order Nonlinear Oscillation. / Thandapani, E.; Győri, I.; Lalli, B. S.

In: Journal of Mathematical Analysis and Applications, Vol. 186, No. 1, 15.08.1994, p. 200-208.

Research output: Contribution to journalArticle

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