Oscillatory properties of fourth order nonlinear difference equations with quasidifferences

• Autorzy: Schmeidel E. , Migda M. , Musielak A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.

Słowa kluczowe

EN

nonlinear difference equation; oscillatory solution; nonoscillatory solution; fourth order

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 2
• Strony: 371--380
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Schmeidel E.

autor

Migda M.

autor

Musielak A.

• Poznań University of Technology, Institute of Mathematics, ul. Piotrowo 3a, 60-695 Poznań, Poland,

Bibliografia

• [1] Agarwal R. P., Difference equations and inequalities. Theory, methods and applications, Marcel Dekker, Inc., New York, 1992.
• [2] Cheng S. S., On a class of fourth order linear recurrence equations, Internat. J. Math. and Math. Sci. 7(1) (1984), 131-149.
• [3] Elaydi S. N., An introduction to difference equations, Springer, 1996.
• [4] Graef J. R., Thandapani E., Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations, Fasc. Math. 31 (2001), 23-36.
• [5] Hooker J. W., Patula W. T., Growth and oscillation properties of solutions of a fourth order linear difference equation, J. Aust. Math. Soc. Ser. B 26 (1985), 310-328.
• [6] Kelly W. G., Peterson A.C., Difference equations, Academic Press, Inc., Boston-San Diego, 1991.
• [7] Migda M., Musielak A., Schmeidel E., On a class of fourth order nonlinear difference equations, Advances in Difference Equations 1 (2004), 23-36.
• [8] Migda M., Musielak A., Schmeidel E., Oscillation theorems for a class of fourth order nonlinear difference equations, Proceedings of the Eight International Conference on Difference Equations and Applications, edited by S. Elaydi, G. Ladas, B. Aulbach, O. Dosly, CRC, Boca Raton, FL, (2005), 201-208.
• [9] Migda M., Schmeidel E., Asymptotic properties of fourth-order nonlinear difference equations, Math. Comput. Modelling 39 (2004), 1203-1211.
• [10] Liu B., Yan J., Oscillatory and asymptotic behavior of fourth order nonlinear difference equations, Acta Math. Sin. 13(1) (1997), 105-115.
• [11] Popenda J., Schmeidel E., On the solution of fourth order difference equations, Rocky Mountain J. Math. 25(4) (1995), 1485-1499.
• [12] Schmeidel E., Oscillation and nonoscillation theorems for fourth order difference equations, Rocky Mountain J. Math. 33(3) (2003), 1083-1094.
• [13] Schmeidel E., Nonscillation and oscillation properties for fourth order nonlinear difference equations, Proceedings of the Sixth International Conference on Difference Equations, New Progress in Difference Equations, edited by B. Aulbach, S. Elaydi, G. Ladas, CRC, Boca Raton, FL, 2004, 531-538.
• [14] Schmeidel E., Szmanda B., Oscillatory and asymptotic behavior of certain difference equation, Nonlinear Anal. 47 (2001), 4731-4742.
• [15] Smith B., Taylor W. E., Oscillatory and asymptotic behavior of certain fourth order difference equations, Rocky Mountain J. Math. 16(2)(1986), 403-406.
• [16] Smith B., Taylor W. E., Oscillation properties of fourth order linear difference equations, Tamkang J. Math. 18(4)(1987), 89-95.
• [17] Taylor W. E., Oscillation properties of fourth order difference equations, Port. Math. 45(1) (1988), 105-144.
• [18] Taylor W. E., Sun M., Oscillation properties of nonlinear difference equations, Port. Math. 52(1) (1995), 15-24.
• [19] Thandapani E., Arockiasamy M., Oscillatory and asymptotic properties of solution of nonlinear fourth order difference equations, Glas. Mat. 37(57) (2002), 119-131.
• [20] Zhang S.S., Cheng S.S., On a class of nonlinear difference equations, J. Difference Equ. Appl. 1 (1995), 391-411.