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Oscillations of difference equations with general advanced argument

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Chatzarakis G., Stavroulakis I.

Open Mathematics

2012

tom 10

nr 2

807-823

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.

Ograniczanie wyników

1 Open Mathematics

1 Chatzarakis G.

1 Stavroulakis I.

1 2012

Wyniki wyszukiwania

Oscillations of difference equations with general advanced argument