共查询到20条相似文献,搜索用时 15 毫秒
1.
《Mathematische Nachrichten》2017,290(2-3):393-400
Efficient sufficient conditions are established for the solvability of the mixed problem where in the case where the homogeneous linear problem has nontrivial solutions. 相似文献
2.
In this paper, n-degree discontinuous finite element method with interpolated coefficients for an initial value problem of nonlinear ordinary differential equation is introduced and analyzed. By using the finite element projection for an auxiliary linear problem as comparison function, an optimal superconvergence , at (n + 1)-order characteristic points in each element respectively is proved. Finally the theoretic results are tested by a numerical example. 相似文献
3.
N. Euler 《Journal of Mathematical Analysis and Applications》2003,287(2):473-486
We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form are considered. The relation of the proposed method to local and nonlocal symmetries are discussed. 相似文献
4.
Maria V. DeminaNikolai A. Kudryashov 《Applied mathematics and computation》2011,217(23):9849-9853
The problem of constructing and classifying exact elliptic solutions of autonomous nonlinear ordinary differential equations is studied. An algorithm for finding elliptic solutions in explicit form is presented. 相似文献
5.
Oleg Palumbíny 《Czechoslovak Mathematical Journal》1999,49(4):779-790
The paper deals with the oscillation of a differential equation L
4
y + P(t)L
2
y + Q(t)y 0 as well as with the structure of its fundamental system of solutions. 相似文献
6.
GAOYONGXIN GAOYOU 《高校应用数学学报(英文版)》1996,11(3):335-348
In this paper, the two and three-point boundsry problems (with nonlinear boundary conditions)for the genaral noniinear equations of fourth order are discussed.We have set some grups of the assurnpion coditions and proved the existence of solutins for corresponding boundary value problems under these conditons. 相似文献
7.
非线性偏微分方程的约化和精确解 总被引:3,自引:0,他引:3
§ 1 IntroductionSeeking the exact solutions of the nonlinear partial differential equation is one of thevery importantsubjectin PDE research.Up to now,many methods offinding the exact so-lutions for NLPDE are constructed,such as inverse scattering transformation(IST) [1 ] ,Liepoint symmetry and similar reductions[2 ,3] ,B cklund[4— 6] and Cole-Hofe transformations,Hirota s bilinear method[7] ,the homogeneous balance method[8,9] ,tanh function method[1 0 ]and so on.In this paper,we giv… 相似文献
8.
9.
Seshadev Padhi 《Applied mathematics and computation》2010,216(8):2450-2456
This paper is concerned with the existence of three positive T-periodic solutions of the first order functional differential equations of the form
x′(t)=a(t)x(t)-λb(t)f(t,x(h(t))), 相似文献
10.
Yuanfang Ru 《Journal of Mathematical Analysis and Applications》2006,324(2):1093-1104
In this paper, by using Krasnosel'skii fixed point theorem and under suitable conditions, we present the existence of single and multiple positive solutions to the following systems:
11.
非线性常微分系统的稳定性 总被引:1,自引:0,他引:1
向红军 《高校应用数学学报(A辑)》2005,20(3):284-290
用矩阵的Lozinskii测度的方法,得到了非线性常微分系统的一些稳定性准则,导出了关于非线性系统,x′=A(t)x(t)+R(t,x)稳定性的充要条件. 相似文献
12.
13.
14.
Stefano Bianchini 《Journal of Differential Equations》2011,250(4):1788-1827
We study the singular ordinary differential equation
(0.1) 相似文献
15.
A detailed analysis is made of the structure of positive solutions of fourth-order differential equations of the form
under the assumption that α, β are positive constants, p(t), q(t) are positive continuous functions on [a,∞), and p(t) satisfies
Mathematics Subject Classification (2000) 34C10, 34D05 相似文献
16.
C. S. Lin 《Czechoslovak Mathematical Journal》2002,52(3):665-672
In this paper we prove two results. The first is an extension of the result of G. D. Jones [4[:Every nontrivial solution for
must be unbounded, provided
, in
and for every bounded subset I, f(t, z) is bounded in E × I.(B) Every bounded solution for
, in
, must be constant, provided
in
and for every bounded subset I,
is bounded in
. 相似文献
17.
In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective
is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given. 相似文献
18.
研究常微分方程d2u/dx2 K(x)e2u=0在(-∞, ∞)上整体解的存在性问题.此方程是熟知的在R2上预定高斯曲率方程的一个特例.本文证明了一个存在性定理. 相似文献
19.
This paper is concerned with a nonlinear iterative functional differential equation x′(z) = 1/x(p(z) + bx′(z)). By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained. We discuss not only in the general case, but also in critical cases, especially for α given in Schröder transformation is a root of the unity. And in case (H4), we dealt with the equation under the Brjuno condition, which is weaker than the Diophantine condition. Moreover, the exact and explicit solution of the original equation has been investigated for the first time. Such equations are important in both applications and the theory of iterations. 相似文献
20.
Chuanxi Qian 《Journal of Mathematical Analysis and Applications》2003,284(1):191-205
Consider the third-order nonlinear differential equation
x?+ψ(x,x′)x″+f(x,x′)=p(t), 相似文献