✦ LIBER ✦

Oscillations of two-dimensional nonlinear partial difference systems

✍ Scribed by Shu Tang Liu; Guanrong Chen

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 449 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90050-8

No coin nor oath required. For personal study only.

✦ Synopsis

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 oscillatory.

📜 SIMILAR VOLUMES

Oscillation of certain two-dimensional n

Oscillation of certain two-dimensional nonlinear difference systems

✍ Hai-Feng Huo; Wan-Tong Li 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 323 KB

Several new oscillation criteria for two-dimensional nonlinear difference systems are established. Examples which dwell upon the importance of our results are also included.

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

Classification schemes for nonoscillator

Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems

✍ Wan-Tong Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 553 KB

Classification schemes for nonoscillatory solutions of a class of nonlinear two-dimensional nonlinear difference systems are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also provided.

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

Nonlinear Oscillations of Two-Dimensiona

Nonlinear Oscillations of Two-Dimensional, Rotating Inviscid Drops

✍ T.W. Patzek; O.A. Basaran; R.E. Benner; L.E. Scriven 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 851 KB

We examine the nonlinear response of a drop, rotating as a rigid body at fixed angular velocity, to two-dimensional finite-amplitude disturbances. With these restrictions, the liquid velocity becomes a superposition of the solid-body rotation and the gradient of a velocity potential. To find the dro