On a nonlinear difference equation with variable delay

• Autorzy: Huong, D. C. , Mau, N. V.
• Języki publikacji: EN

Abstrakty

EN

In this paper, some results on the equi-boundedness of solutions, the stability of the zero and the existence of positive periodic solutions of nonlinear difference equation with variable delay (…) are obtained.

Słowa kluczowe

PL

stabilność; twierdzenie stałego punktu; mapowanie skurczu; twierdzenie o punkcie stałym stożka

EN

stability; fixed point theorem; contraction mapping; nonlinear difference equation; equi-boundedness; positive periodic; cone fixed point theorem

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 123--135
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Huong, D. C.

• Quy Nhon University, 170 An Duong Vuong, Quy Nhon, Binh Dinh, Vietnam,

autor

Mau, N. V.

• Hanoi University of Science, 334 Nguyen Trai, Ha Noi, Vietnam,

Bibliografia

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• [3] M. A. Krasnosel’skii, Positive Solutions of Operator Equations, Noordhoff, Groningen, (1964).
• [4] R. P. Agarwal, Difference Equations and Inequalities. Theory, Methods, and Applications, Marcel Dekker, Inc (2000).
• [5] I. Győri, G. Ladas, P. H. Vlahos, Global attraction in a delay difference equation, Nonlinear Anal. 17 (1991), 473–479.
• [6] G. Karakostas, Ch. G. Philos, Y. G. Sficas, The dynamics of some discrete population models, Nonlinear Anal. 17 (1991), 1069–1084.
• [7] J. G. Milton, J. Belair, Chaos, noise and extinction in models of population growth, Theoret. Population Biol. 17 (1990), 273–290.
• [8] A. F. Ivanov, On global stability in a nonlinear discrete model, Nonlinear Anal. 23 (1994), 1383–1389.
• [9] D. Singer, Stable orbits and bifurcation of maps of the interval, SIAM J. Appl. Math. 35 (1978), 260–267.