Oscillation criteria for higher order neutral difference equations with oscillating coefficient

• Autorzy: Migda M.
• Języki publikacji: EN

Abstrakty

EN

In this paper sufficient conditions for oscillation of all bounded solutions of the equation ...[wzór] where m ≥ 2, (p_n) is an oscillatory sequence of real numbers, lim_n→∞ p_n = 0, τ and σ are positive integers, f : N×R×R → R are established.

Słowa kluczowe

EN

neutral difference equation; oscillating coefficient; oscillatory solution

PL

równanie różnicowe; oscylując współczynnik

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 44
• Strony: 85--93
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Migda M.

• Institute of Mathematics Poznań University of Technology Piotrowo 3A, 60-965 Poznań, Poland,

Bibliografia

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• [3] Bolat Y., Akin O., Yildirim H., Oscillation criteria for certain even order neutral difference equation with an oscillating coefficient, Appl. Math. Letters, 22(2009), 590-594.
• [4] Kir I., Bolat Y., Oscillation criteria for higher-order neutral delay difference equations with oscillating coefficients, Int. J. Difference Equ., 2(2006), 219-223.
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• [6] Ladas G., Sficas Y.G., Oscillations of higher-order neutral equations, J. Austral. Math. Soc. Ser. B, 27(1986), 502–511.
• [7] Migda M., On unstable neutral difference equations, Indian J. Pure and Appl. Math., 36(10)(2005), 557-567.
• [8] Parhi N., Tripathy A.K., Oscillation of a class of nonlinear neutral difference equations of higher order, J. Math. Anal. Appl., 284(2003), 756-774.
• [9] Sundaram P., Oscillation criteria for even order neutral difference equations, Bull. Cal. Math. Soc., 92(2000), 81-86.
• [10] Szmanda B., Properties of solutions of higher order difference equations, Mathl. Comput. Modelling, 28(1998), 95-101.
• [11] Zafer A., Oscillatory and asymptotic behavior of higher order difference equations, Math. Comput. Modelling, 21(1995), 43-50.
• [12] Zafer A., Oscillation criteria for even order neutral differential equations, Appl. Math. Lett., 11(1998), 21-25.
• [13] Zein A., Abu-Kaff T., Bounded oscillation of higher order neutral differential equations with oscillating coefficients, Appl. Math. E-Notes, 6(2006), 126-131.
• [14] Zhou Y., Oscillatory and asymptotic properties of higher-order nonlinear neutral difference equations with oscillating coefficients, Appl. Math. Lett., 280(2008), 63-76.