Oscillatory properties of third order neutral delay difference equations

• Autorzy: Thandapani E. , Mahalingam K.
• Języki publikacji: EN

Abstrakty

EN

Some new sufficient criteria for the oscillation of all solutions of the neutral difference equation are obtained. Existence of nonoscillatory solution and its asymptotic behavior are also discussed. Examples illustrating the results are inserted.

Słowa kluczowe

EN

neutral differential equation; third order; oscillation

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 2
• Strony: 325--337
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Thandapani E.

• Department of Mathematics, Periyar University, Salem-636 Oil, Tamil Nadu, India

autor

Mahalingam K.

• Department of Mathematics, Periyar University, Salem-636 Oil, Tamil Nadu, India

Bibliografia

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• [3] J. R. Graref and E. Thandapani, Oscillatory and asymptotic behavior of solutions of third order delay difference equations, Funk. Ekv. 42 (1999), 355-369.
• [4] W. T. Li, S. S. Cheng and G. Zhang, A classification scheme for nonoscillatory solutions of a higher order neutral nonlinear difference equation, J. Austral. Math. Soc. Sec A 67 (1999), 122-142.
• [5] P. Marusiak, Asymptotic properties of nonoscillatory solutions of neutral difference equations, Proc. Conf. Ord. Diff. Eq. Poprad (SR), (1994), 55-61.
• [6] B. Szmanda, Oscillatory and asymptotic behavior of higher order difference equations, Le Matematiche 52 (1997), 171-178.
• [7] E. Thandapani and K. Mahalingam, Oscillation and Nonoscillation of Second Order Neutral Delay Difference equations, Czech. Math. J. (to appear).
• [8] E. Thandapani, M. M. S. Manuel, J. R. Graef and P. W. Spikes, Oscillation of higher order neutral difference equation with a forcing term,, Internat. J. Math. Math. Sci. 22 (1999), 147-154.
• [9] E. Thandapani, P. Sundram, J. R. Graef and P. W. Spikes, Asymptotic behawior and oscillation of solutions of neutral delay difference equations of arbitrary order, Math. Slovoca, 47 (1997), 539-551.
• [10] A. Zafer and R. S. Dahiya, Oscillation of a neutral difference equation, Appl. Math. Lett. 6 (1993), 71-74.
• [11] A. Zafer, The existence of positive solutions and the oscillation of solutions of higher order difference equations with forcing term, Comput. Math. Applica. 36 (1998), 27-35.
• [12] A. Zafer, Oscillatory and asymptotic behavior of higher order difference equations, Mathl. Comput. Modelling 21 (1995), 43-50.