Boundedness of solutions of nonlinear three-dimensional difference systems with delays

• Autorzy: Schmeidel E.
• Języki publikacji: EN

Abstrakty

EN

In this paper three-dimensional nonlinear difference system with delays ...[wzór] is investigated. The classification of nonoscillatory solutions of the considered system are presented. Next, the sufficient conditions under which nonoscillatory solution of considered system is bounded or is unbounded are given. Key words: difference equation, nonlinear system, nonoscillatory, bounded, unbounded solution.

Słowa kluczowe

EN

difference equation; nonlinear system; nonoscillatory; bounded; unbounded solution

PL

równanie różnicowe; układ nieliniowy; ograniczony

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 44
• Strony: 107--113
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Schmeidel E.

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

Bibliografia

• [1] Agarwal R.P., Difference equations and inequalities. Theory, methods, and applications, Second edition, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 2000.
• [2] Kocić V.L., Ladas G., Global behavior of nonlinear difference equations of higher order with applications, Mathematics and its Applications, Kluwer Academic Publishers Group, Dordrecht, 1993.
• [3] Graef J.R., Thandapani E., Oscillation of two-dimensional difference system, Comput. Math. Appl., 38(7-8),(1999), 157-165.
• [4] Szafrański Z., Szmanda B., Oscillatory properties of solutions of some difference systems, Rad. Mat., 2(1990), 205-214.
• [5] Thandapani E., Ponnammal B., Oscillatory properties of solutions of three dimensional difference systems, Math. Comput. Modelling, 42(5-6)(2005), 641 -650.
• [6] Thandapani E., Ponnammal B., On the oscillation of a nonlinear two dimensional difference system, Tamkang J. Math., 32(3)(2001), 201-209.
• [7] Thandapani E., Ponnammal B., Oscillatory and asymptotic behavior of solutions of nonlinear two-dimensional difference systems, Math. Sci. Res. Hot-Line, 4(1)(2000), 1-18.