Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Języki publikacji
Abstrakty
In this paper, two second order half-linear difference equations are considered. By establishing their connections with a standard half-linear difference equation, we are able to obtain sufficient conditions for existence and nonexistence of eventually positive solutions.
Czasopismo
Rocznik
Tom
Strony
163--175
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Department of Mathematics, Qingdao Technological University, No. 11, Fushun Road, Qingdao 266033, P.R. China
autor
- Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043
Bibliografia
- [1] D.A. Georgiou, E.A. Grove, G. Ladas, Oscillation of neutral difference equations with variable coefficients, In Lecture Notes in Applied Math., Series 127, Dekker, 1991.
- [2] J.S. Yu, Z.C. Wang, Asymptotic behavior and oscillation in neutral delay difference equations, Funkcialaj Ekvacioj, 37(1994), 241-248.
- [3] G. Zhang, S.S. Cheng, Oscillation criteria for a neutral difference equation with delay, Appl. Math. Lett, 8(3)(1995), 13-17.
- [4] G. Zhang, S.S. Cheng, Elementary nonexistence criteria for a recurrence relation, Chinese Math. J., 24(3)(1996), 229-235.
- [5] G. Zhang, S.S. Cheng, Positive solutions of a nonlinear neutral difference equation, Nonlinear Analysis TMA, 28(4)(1997), 729-738.
- [6] G. Zhang, S.S. Cheng, Note on a discrete Emden-Fowler equation, PanAmerican Math. J., 9(3)(1999), 57-64.
- [7] S.R. Grace, B.S. Lalli, Oscillation theorems for second order delay and neutral difference equations, Utilitas Math., 45(1994), 197-211.
- [8] E. Thandapani, P. Sundarm, J.R. Grace, P.W. Spikes, Asymptotic properties of solutions of nonlinear second order neutral delay difference equations, Dynamic Systems and Appl., 4(1995), 125-136.
- [9] B.G. Zhang, S.S. Cheng, Oscillation criteria and comparison theorems for delay difference equations, Fasc. Math., 25(1995), 13-32.
- [10] S.L. Xie, G. Zhang, S.S. Cheng, Nonexistence of positive solutions of neutral difference equations, Diff. Eq. and Dynamic Systems, (to appear).
- [11] S.S. Cheng, W.T. Patula, An existence theorem for a nonlinear difference equation, Nonlinear Analysis TMA, 20(3)(1993), 193-203.
- [12] S.S. Cheng, B.C. Zhang, Monotone solutions of a class of nonlinear difference equations, Comput. Math. Applic., 28(1994), 71-79.
- [13] H.J. Li, C.C. Yeh, Nonoscillation in nonlinear difference equation, Comput. Math. Applic., 28(1994), 203-208.
- [14] H. J. Li, C.C. Yeh, Existence of positive nondecreasing solutions of nonlinear difference equations, Nonlinear Analysis TMA, 22(10)(1994), 1271-1284.
- [15] B. Liu, S.S. Cheng, Positive solutions of second order nonlinear difference equations, J. Math. Anal. Appl., 204(1996), 482-493.
- [16] P. J. Y. Wong, R. P. Agarwal. Oscillation theorems for certain second order nonlinear difference equations, J. Math. Anal. Appl., 204(1996), 813-829.
- [17] S.S. Cheng, B.G. Zhang, Nonexistence of positive non-decreasing solutions of a nonlinear difference equation, Proceedings of The First International Conference on Difference Equations, Gordon and Breach, 1995, 115-122.
- [18] S.S. Cheng, T.T. Lu, Qualitative properties of matrices appearing in several mathematical models. Proc. Natl. Sci. Counc. ROC (A), 25(5)(2001), 269-283.
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