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1.
Oscillation of Solutions of Linear Differential Equations 总被引:1,自引:0,他引:1
Ye Zhou LI Jun WANG 《数学学报(英文版)》2008,24(1):167-176
This paper is devoted to studying the growth problem, the zeros and fixed points distribution of the solutions of linear differential equations f″+e^-zf′+Q(z)f=F(z),whereQ(z)≡h(z)e^cz and c∈R. 相似文献
2.
Consider the following equation:For positive definite or quasi-positive definite kernel k(x,y),the theory of equa-tion(1)has much been developed.But up to now,little is known about the caseof indefinite kernels.In this paper we get several results of the latter type. Let G R~N have finite measure and f(x,u)satisfy Caratheodory condition, 相似文献
3.
Invariant solutions of partial differential equations are found by solving a reduced system involving one independent variable
less. When the solutions are invariant with respect to the so-called projective group, the reduced system is simply the steady
version of the original system. This feature enables us to generate unsteady solutions when steady solutions are known. The
knowledge of an optimal system of subalgebras of the principal Lie algebra admitted by a system of differential equations
provides a method of classifying H-invariant solutions as well as constructing systematically some transformations (essentially different transformations) mapping the given system to a suitable form. Here the transformations allowing to reduce the steady two-dimensional Euler
equations of gas dynamics to an equivalent autonomous form are classified by means of the program SymboLie, after that an optimal system of two-dimensional subalgebras of the principal Lie algebra has been calculated. Some steady solutions of two-dimensional Euler
equations are determined, and used to build unsteady solutions. 相似文献
4.
Sheng-jun Fan 《应用数学学报(英文版)》2007,23(4):697-704
The main result of this study is to obtain,using the localization method in Briand et al.Levi,Fatou and Lebesgue type theorems for the solutions of certain one-dimensional backward stochastic differentialequation(BSDEs)with integrable parameters with respect to the terminal condition. 相似文献
5.
Dragic BANKOVIC 《数学学报(英文版)》2007,23(5):945-950
In a previous paper, we have described all reproductive general solutions of a Post equation, supposing that a general solution is known. In this paper we describe all general solutions of Post equation, supposing that a general solution of this equation is known (Theorem 6). As a special case we get the previous characterization of reproductive solutions and a similar result for Boolean equations (Theorem 9). 相似文献
6.
We are concerned with the existence of the quasi-periodic solutions of the nonlinear Schr(?)dinger(NLS)eauationwhere △ is the d-Laplace and Mσ is a Fourier multiplier,i.e, 相似文献
7.
Shu-hongWu 《应用数学学报(英文版)》2005,21(1):77-80
A two-point boundary value problem with a non-negative parameter Q arising in the study of surface tension induced flow of a liquid metal or semiconductor is studied. We prove that the problem has at least one solution for Q≥0.This improves a recent result that the problem has at least one solution for 0 ≤Q≤13.21. 相似文献
8.
Wei An LIU School of Mathematics Statistics Wuhan University Wuhan P.R.China Gang LU Department of Mathematics Central China Normal University Wuhan P.R.China 《应用数学学报(英文版)》2004,(4)
In this paper,by the technique of coupled solutions,the notion of viscosity solution is ex-tended to quasi-monotonic fully nonlinear parabolic equations with delay,which involves many modelsarising from optimal control theory,economy and finance,biology etc.The comparison,existence anduniqueness are proved.And the results are applied to the retarded Bellman equations. 相似文献
9.
OnPeriodicViableSolutionsofDifferentialInclusionsWangZhihua(王志华)andZhuJiang(朱江)(DepartmentofMathematics,LanzouUniversity,Lanz... 相似文献
10.
OntheInvolutiveSolutionsofSolitionHierarchy乔志军OntheInvolutiveSolutionsofSolitionHierarchy¥QiaoZhijun(Dept.ofMath,LiaonignUniv... 相似文献
11.
Harold Exton 《Southeast Asian Bulletin of Mathematics》2000,24(2):211-216
The Laplace transform and its inverse are used to obtain new solutions of Heuns equation (HE) in the form of readily computable five-fold series. These solutions are a considerable improvement on the extremely complicated solutions of perturbation type deduced by Exton [2].AMS Subject Classification (2000), 33E10, 33E10, 33E20, 33E30, 34AO53 相似文献
12.
Boundedness of Solutions for Elliptic Variational InequalitiesBoundednessofSolutionsforEllipticVariationalInequalities¥YeRuif... 相似文献
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14.
1.IntroductionInthispaperweareconcernedwiththeoscillatorypropertiesofsolutionsofsecondordernonlineardifferenceequationsoftheformwhere△istheoperatordefinedbytheequation△yn=yn 1-ynandItisinterestingtostudysecondordernonlineardifferenceequationsbecausetheyarediscreteanaloguesofdifferentialequations.Inaddition,theydohavephysicalapplicationsasevidencedby[1J.Inequation(l),p={p.},n=l,2,3,..'isagiveninfinitesequenceofrealnumbersandthefunctionfisdefinedonRwhereRisthesetofrealnumbers.Byasolutionof(1… 相似文献
15.
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang–Baxter equation and the parabolic subgroups of its structure group, equipped with its canonical Garside structure. Moreover, we introduce the notion of a foldable solution, which extends the one of a decomposable solution. 相似文献
16.
A. A. Kon’kov 《Journal of Mathematical Sciences》2014,197(3):358-366
One considers the equation $$ \mathrm{div}\left( {{u^{\sigma }}Du} \right)+b(x)Du-{u_t}=f(x)g(u),\quad x\in {{\mathbb{R}}^n},\quad t\in \left( {0,\infty } \right), $$ where $ b:{{\mathbb{R}}^n}\to {{\mathbb{R}}^n} $ and $ f:{{\mathbb{R}}^n}\to [0,\infty ) $ are locally bounded measurable functions, g: (0,∞)?→?(0,∞) is continuous and nondecreasing, One obtains the conditions ensuring that its positive solutions stabilize to zero as t?→?∞. 相似文献
17.
BAI Shui-zhou 《数学季刊》2004,19(4)
In this paper we study the oscillation of the solutions of higher-order functional differential equations, and have given the new integral conditions when equation (1) is oscillatory and extended some known results.x(n)(t) p(t)x(g(t)) = 0, (1)where n is even number, p(t) ∈ C(R, [0, ∞)), g(t) ∈ C(R; R), g(t) f55 t,. 相似文献
18.
Chang Chun LIU Yuan Wei QI Jing Xue YIN 《数学学报(英文版)》2006,22(4):1139-1150
In this paper, we study the regularity of solutions for two-dimensional Cahn-Hilliard equation with non-constant mobility. Basing on the L^p type estimates and Schauder type estimates, we prove the global existence of classical solutions. 相似文献
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20.
Zai-hong WangDepartment of Mathematics Capital Normal University Beijing China 《应用数学学报(英文版)》2002,18(3):513-522
We provide sufficient conditions for the existence and multiplicity of subharrnonic solutions for Duffing's equations with jumping nonlinearities. 相似文献