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• # Artykuł - szczegóły

## Open Mathematics

2012 | 10 | 2 | 807-823

## Oscillations of difference equations with general advanced argument

EN

### Abstrakty

EN
Consider the first order linear difference equation with general advanced argument and variable coefficients of the form $$\nabla x(n) - p(n)x(\tau (n)) = 0, n \geqslant 1,$$ where {p(n)} is a sequence of nonnegative real numbers, {τ(n)} is a sequence of positive integers such that $$\tau (n) \geqslant n + 1, n \geqslant 1,$$ and ▿ denotes the backward difference operator ▿x(n) = x(n) − x(n − 1). Sufficient conditions which guarantee that all solutions oscillate are established. Examples illustrating the results are given.

EN

807-823

wydano
2012-04-01
online
2012-01-18

### Twórcy

autor
• School of Pedagogical and Technological Education (ASPETE)
autor
• University of Ioannina

### Bibliografia

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