In particular we study the second order difference equation satisfied by the Bessel function of the first kind. Except for some recent work on the gamma function by the author, Wimp and Ting, the literature is void on use of the τ-method idea for solutions of difference equations....
5) second order half linear impulsive differential equation 二阶半线性脉冲微分方程6) First order nonlinear impulsive equation 一阶非线性脉冲方程补充资料:二阶线性齐次微分方程 二阶线性微分方程的一般形式为 ay"+by'+cy=f(1) 其中系数abc及f是自变量x的函数或是常数。函数f称为函数的自由项。若f≡0...
Solve an equation, inequality or a system.Example: 2x-1=y,2y+3=xNew Example Keyboard Solve √ ∛ e i π s c t l L ≥ ≤Algebrator program helps a lot of homeschoolers get rid off their fear of math . Here are a few choice keywords entered today to access our this page: ...
A new analytical method for finding the general solution of the nth-order linear differential equation with variable coefficients is given based on general... MH Eghlidi,K Mehrany,B Rashidian - IEEE 被引量: 8发表: 2005年 Approximate solution of three-point boundary value problems for second-...
Theorems of Liouville type are proved for a very general second-order parabolic equation. Smoothness conditions are not imposed on the coefficients; however, it is required that a Cordes condition be satisfied which denotes the nearness to the identity of the coefficient matrix for the second deriva...
A matrix method is introduced for the approximate solution of the second‐order linear differential equation with specified associated conditions in terms of Taylor polynomials about any point. Examples are presented which illustrate the pertinent features of the method. Also it is applied to the ...
We obtain the solution of a second-order linear differential equation with coefficients analytic in the vicinity of a Fuchsian zero point. This solution is expressed via the hypergeometric functions and fractional-order hypergeometric functions introduced in the paper. ...
The existence of at least one oscillatory solution of a second order nonlinear differential equation with -Laplacian is considered. The global monotonicity... M Bartusek,M Cecchi,M Marini - 《Georgian Mathematical Journal》 被引量: 7发表: 2007年 On the Limit-Point /Limit-Circle Problem for Non...
摘要: A function, Airy function is discussed which expressed by integral depending on a parameter. It is proved that Airy function is a integral function, a solution of the second order differential equation f″-zf=0 . Morever, the Maclaurin's expansion of Airy function is given....
In this paper, the boundary value problem of a semilinear third-order equation is considered. Making use of the upper and lower solutions method and a new maximum principle, the existence results and iterative formula of solution and positive solution are obtained. 关键词: Third-order ordinary di...