Oscillation criteria for third order nonlinear difference equations

• Autorzy: Grace, S. R. , Agarwal, R. P. , Aktas, M. F.
• Języki publikacji: EN

Abstrakty

EN

We shall establish some new criteria for the oscillation of third order nonlinear difference equations of the form ...[wzór]

Słowa kluczowe

PL

oscylacja; porównanie; równanie nieliniowe

EN

oscillation; nonoscillation; comparison

• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 42
• Strony: 39-51
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Grace, S. R.

autor

Agarwal, R. P.

autor

Aktas, M. F.

• Department of Engineering Mathematics Faculty of Engineering Cairo University,

Bibliografia

• [1] Agarwal R.P., Bohner M., Grace S.R., O’Regan D., Discrete Oscillation Theory, Hindawi Publishing Corporation, 2005.
• [2] Agarwal R.P., Grace S.R., O’Regan D., Oscillation Theory for Second Order Linear, Half–linear, Superliner and Sublinear Dynamic Equations, Kluwer, Dordrecht 2002.
• [3] Agarwal R.P., Grace S.R., O’Regan D., Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrecht 2000.
• [4] Agarwal R.P., Grace S.R., O’Regan D., Oscillation Theory for Second Order Dynamic Equations, Taylor & Francis, London 2003.
• [5] Agarwal R.P., Grace S.R., O’Regan D., On the oscillation of certain second order difference equations, J. Diff. Equ. Appl., 9(2005), 109-119.
• [6] Agarwal R.P., Grace S.R., O’Regan D., Oscillation of certain fourth order functional differential equations, Ukrainian Math. J., 59(2007), 315–342.
• [7] Agarwal R.P., Grace S.R., Akine-Bohner F., Oscillation criteria for fourth order nonlinear difference equations, Georgian Math. J., 14(2007), 203-222.
• [8] Agarwal R.P., Grace S.R., Smith T., Oscillation of certain third order functional differential equations, Adv. Math. Sci. Appl., 16(2006), 69-94.
• [9] Agarwal R.P., Grace S.R., Smith T., On the oscillatory properties of certain fourth order nonlinear difference equations, J. Math. Anal. Appl., 322(2006), 930-956.
• [10] Agarwal R.P., Grace S.R., Manojlovic J., Oscillation criteria for certain fourth order nonlinear functional differential equations, Math. Comput. Modelling, 44(2006), 163-187.
• [11] Agarwal R.P., Grace S.R., O’Regan D., On the oscillation of certain third order difference equations, Adv. Difference Equ., 3(2005), 345-367.
• [12] Agarwal R.P., Grace S.R., O’Regan D., On the oscillation of higher order difference equations, Soochow J. Math., 31(2005), 245–259.
• [13] Gyori I., Ladas G., Oscillation Theory of Delay Differential Equations, Oxford University Press, Oxford 1991.
• [14] Philos Ch.G., On the existence of nonoscillatory solutions tending to zero at 1 for differential equations with positive delays, Arch. Math., 36(1981), 168-178.