✦ LIBER ✦

Oscillation of certain two-dimensional nonlinear difference systems

✍ Scribed by Hai-Feng Huo; Wan-Tong Li

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 323 KB
Volume: 45
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)00089-0

No coin nor oath required. For personal study only.

✦ Synopsis

Several new oscillation criteria for two-dimensional nonlinear difference systems are established.

Examples which dwell upon the importance of our results are also included.

📜 SIMILAR VOLUMES

Oscillation of two-dimensional differenc

Oscillation of two-dimensional difference systems

✍ J.R. Graef; E. Thandapani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 428 KB

and {bn}, n E N(no), are real sequences, and f, g : R --\* R are continuous with uf(u) > 0 and ug(u) > 0 for u ~ 0. A solution ({xn},{yn}) of the system is oscillatory if both components are oscillatory. The authors obtain sufficient conditions for all solutions of the system to be oscillatory. Some

Oscillations of two-dimensional nonlinea

Oscillations of two-dimensional nonlinear partial difference systems

✍ Shu Tang Liu; Guanrong Chen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 449 KB

Ymn, {amn} and {bran} are real sequences, m, n E No, and f, g: R --+ R are continuous with uf(u) > 0 and up(u) > 0 for all u • 0. A solution ({xm~},{y,~,~}) of this system is oscillatory if both components are oscillatory. Some sufficient conditions are derived for all solutions of this system to be

Oscillation of Certain Second Order Nonl

Oscillation of Certain Second Order Nonlinear Difference Equations

✍ B.G. Zhang; G.D. Chen 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 154 KB

In this paper we consider the second order nonlinear difference equation Ä 4 nondecreasing, and uf u ) 0 as u / 0, q is a real sequence. Some new n Ž . sufficient conditions for the oscillation of all solutions of 1 are obtained.

Oscillation criteria of certain nonlinea

Oscillation criteria of certain nonlinear partial difference equations

✍ B.G. Zhang; B.M. Liu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 279 KB

## This paper is concerned with the nonlinear partial difference equation with continuous variables m A(x + a, y) + A(x, y + a) -A(x, y) + E hi(x, y, A(x -ai, y -~-i)) -~ 0, i=l where a, ai, ri are positive numbers, hi(x,y,u) E C(R + × R + x R, R), uhi(x, y, u) > 0 for u ¢ 0, hi is nondecreasing i

Invariants and oscillation for systems o

Invariants and oscillation for systems of two nonlinear difference equations

✍ G. Papaschinopoulos; C.J. Schinas 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 103 KB

Oscillation Theorems for Certain Second

Oscillation Theorems for Certain Second Order Nonlinear Difference Equations

✍ Patricia J.Y. Wong; Ravi P. Agarwal 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 178 KB

In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ž . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are