✦ LIBER ✦

Formal Integrability Criteria for Nonlinear Partial Difference Equations

✍ Scribed by Zheng Xie; Hongbo Li

Publisher: Springer Netherlands
Year: 2008
Tongue: English
Weight: 437 KB
Volume: 108
Category: Article
ISSN: 0167-8019
DOI: 10.1007/s10440-008-9312-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Stability criteria for two partial diffe

Stability criteria for two partial difference equations

✍ Yi-Zhong Lin; Sui Sun Cheng 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 787 KB

This paper is concerned with two classes of linear partial difference equations with constant coefficients. Explicit conditions are derived, which are sufficient and/or necessary for these equations to have stable solutions.

Further oscillation criteria for delay p

Further oscillation criteria for delay partial difference equations

✍ Chuanjun Tian; Shengli Xie 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 476 KB

Stability criteria for parabolic type pa

Stability criteria for parabolic type partial difference equations

✍ Sheng-Li Xie; Sui Sun Cheng 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 337 KB

This paper is concerned with the stability of neutral parabolic type partial difference equations with delays over cylindrical domains (see (1.1), (1.4) and (3.1)). Stability criteria involving the spatial Euclidean norms of the solutions are derived by means of basic analytic techniques. These crit

Integrability tests for difference equat

Integrability tests for difference equations

✍ Jarmo Hietarinta 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 389 KB

Nonlinear differential-difference and di

Nonlinear differential-difference and difference equations: integrability and exact solvability

✍ R. Sahadevan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 521 KB

Abstraet--A brief review on the recent results of nonlinear differential-difference and difference equations toward its complete integrability and exact solvability is presented. In particular, we show how Lie's theory of differential equations can be extended to differentiM-difference and pure diff