Oscillation of difference equations with several positive and negative coefficients

• Autorzy: Öğünmez H. , Öcalan Ö
• Języki publikacji: EN

Abstrakty

EN

Our aim in this paper is to obtain sufficient conditions for the oscillation of every solution of first order difference equations ...[wzór] where p_i, q_i ∈ R⁺ and k_i, l_i ∈ N for i = 1, 2,..., m.

Słowa kluczowe

EN

difference equation; oscillation

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2013
• Tom: Nr 51
• Strony: 115--122
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Öğünmez H.

• Afyon Kocatepe University Faculty of Science and Arts Department of Mathematics ANS Campus, 03200, Afyon, Turkey

autor

Öcalan Ö

• Afyon Kocatepe University Faculty of Science and Arts Department of Mathematics ANS Campus, 03200, Afyon, Turkey

Bibliografia

• [1] Agarwal R.P., Difference Equations and Inequalities, Marcel Dekker, New York, 1992.
• [2] Agarwal R.P., Grace S.R., O’Regan D., Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, London, 2000.
• [3] Elabbasy El.M., Hegazi A.S., Saker S.H., Oscillation of solutions to delay differential equations with positive and negative coefficients, Electronic Journal of Differential Equations, 2000(13)(2000), 1-13.
• [4] Györi I., LADAS G., Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
• [5] Györi I., Ladas G., Linearized oscillations for equations with piecewise constant arguments, Differential and Integral Equations, 2(1989), 123-131.
• [6] Kuruklis S.A., The asymptotic stability of nx+1 - axn + bxn-k = 0, J. Math. Anal. Appl., 188(3)(1994), 719-731.
• [7] Ladas G., Qian C., Oscillatory behavior of difference equations with positive and negative coefficients, Matematiche, 44(2)(1989), 293-309.
• [8] Ladas G., Qian C., Oscillation in differential equations with positive and negative coefficient, Canad. Math. Bull., 33(4)(1990), 442-451.
• [9] Ladas G., Explicit conditions for the oscillation of difference equations, J. Math. Anal. Appl., 153(1990) 276-287.
• [10] Ladas G., Oscillations of difference equations with positive and negative coefficients, Rocky Mountain J. Math., 20(4)(1990), 1051-1061.
• [11] ÖCALAN Ö., Duman O., Oscillation analysis of neutral difference equations with delays, Chaos, Solitons & Fractals, 9(1)(2009), 261-270.
• [12] Shen J.H., Debnath L., Oscillations of solutions of neutral difference equations with positive and negative coefficients, Applied Mathematics Letters, 14(2001), 775-781.
• [13] Tang X.H., Yu J.S., Peng D.H., Oscillation and nonoscillation of neutral difference equations with positive and negative coefficients, Computers and Mathematics with Applications, 9(2000), 169-181.
• [14] Tian C.J., Cheng S.S., Oscillation criteria for delay neutral difference equations with positive and negative coefficients, Bol. Soc. Parana. Mat., 21(1-2)(2003), 19-30.
• [15] Zhang X., Yan J., Oscillation criteria for first order neutral differential equations with positive and negative coefficients, Math. Anal. Appl., 253(2001), 204-214.