Oscillations of difference equations with general advanced argument

• Autorzy: George Chatzarakis , Ioannis Stavroulakis
• Języki publikacji: 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.

Słowa kluczowe

EN

General advanced argument; Variable coefficients; Advanced type difference equations; Oscillatory solution; Nonoscillatory solution

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 807-823

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

George Chatzarakis

• School of Pedagogical and Technological Education (ASPETE),

autor

Ioannis Stavroulakis

• University of Ioannina,

Bibliografia

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• [2] Chatzarakis G.E., Koplatadze R., Stavroulakis I.P., Optimal oscillation criteria for first order difference equations with delay argument, Pacific J. Math., 2008, 235(1), 15–33 http://dx.doi.org/10.2140/pjm.2008.235.15
• [3] Chatzarakis G.E., Koplatadze R., Stavroulakis I.P., Oscillation criteria of first order linear difference equations with delay argument, Nonlinear Anal., 2008, 68(4), 994–1005 http://dx.doi.org/10.1016/j.na.2006.11.055
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Identyfikatory

DOI

10.2478/s11533-011-0137-5