Nonlinear difference equations are of paramount importance in applications where the ( n + 1 ) st generation of the system depends on the previous k generations 不僅研究了一般的線性差分方程,而且對(duì)中立型的、非線性的、時(shí)滯的差分方程都做了深入研究。
Invariable coefficient the number of times is different linear recursion sequence will transform using the sequence difference as often the coefficient inhomogeneous linear difference equation , thus obtains one kind of computation invariable coefficient the number of times is different linear recursion sequence special another interpretation simple method 摘要利用數(shù)列的差分將常系數(shù)非齊次線性遞歸數(shù)列轉(zhuǎn)化為常系數(shù)非齊次線性差分方程,從而得到一種求常系數(shù)非齊次線性遞歸數(shù)列特解的簡(jiǎn)易方法。
By citing a series of counterexamples , , e demonstrate in section 5 that famous indian scholar e . thandapani ' s and american scholar k . ravy ' s classification methods are essentially , rong for second order quasi - linear difference equation , ith damped term in " computers and mathematics , ith applications " , state ne , results and solve completely the problem for the classification of this kind of equation 通過(guò)列舉一系列的反例,我們?cè)诘谖骞?jié)指出,著名的印度學(xué)者e thandapani和美國(guó)學(xué)者k ravy在《 computersandmathematicswithapplications 》上關(guān)于具有強(qiáng)迫項(xiàng)的二階擬線性差分方程非振動(dòng)解的分類方法是根本錯(cuò)誤的,給出了新的結(jié)論,完整地解決了這類方程的分類問(wèn)題。