共查询到20条相似文献,搜索用时 15 毫秒
1.
ZHANGZHITAO 《高校应用数学学报(英文版)》1997,12(3):307-320
In this paper, we apply the coincidence degree theory to study nonlinear second orderimPulsive periodic boundary value problems (PBVP), and show some sufficient conditions for the existence of solutions. 相似文献
2.
《Annals of Differential Equations》2008,(1):86-92
In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a unique solution or extremal ones to the given problem.A monotone iterative technique is applied. 相似文献
3.
赵为礼 《数学物理学报(B辑英文版)》1992,(3)
By making use of the differential inequalities, in this paper we study the uniqueness of solutions of the two kinds of the singularly perturbed boundary value problems for the nonlinear third order ordinary differential equation with a small parameter ε>0: where i=1, 2; a(?)(ε), β(ε) and γ(ε) are functions defined on (0, ε_o], while ε_o>0 is a constant.This paper is the continuation of our works [4, 6]. 相似文献
4.
GENERALIZED SOLUTION OF SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS 总被引:2,自引:0,他引:2
Yao Jingsun Mo Jiaqi 《Annals of Differential Equations》2006,22(1):81-86
The singularly perturbed initial boundary value problem for reaction diffusion equation is considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied. 相似文献
5.
EXISTENCE OF POSITIVE RADIAL SOLUTIONS AND ENTIRE SOLUTIONS FOR QUASILINEAR SINGULAR BOUNDARY VALUE PROBLEMS 总被引:2,自引:0,他引:2
EXISTENCEOFPOSITIVERADIALSOLUTIONSANDENTIRESOLUTIONSFORQUASILINEARSINGULARBOUNDARYVALUEPROBLEMSYangZuodong(杨作东)&GuoZongming(郭... 相似文献
6.
UNIFORMLYVALIDASYMPTOTICAPPROXIMATIONSFORNONLINEARSINGULARLY-PERTURBEDVECTORBOUNDARYVALUEPROBLEMS¥ShiYuming(QufuNormalUnivers... 相似文献
7.
Pei Minghe 《Annals of Differential Equations》2005,21(2):183-191
In this paper, by using the Leray-Schauder continuation theorem, we establish the existence and uniqueness theorems of solutions of two-point boundary value problems for 2nth-order nonlinear differential equations with nonlinear growth. 相似文献
8.
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR HIGHER ORDER NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS
Gao Yunzhu Pei Minghe 《Annals of Differential Equations》2007,23(4):405-409
In this paper,by using Leray-Schauder degree theory,we establish the exi- stence and uniqueness theorems for some higher order nonlinear three-point boundary value problems. 相似文献
9.
1991MRSubjectClassification35B2535K57Theauthorsstudiedakilldofsingularlypertllrbedproblemsin[1]-[61.Nowwe't()llsiderthefollowingsingularlyperturbedproblemforthenonlocalboulldaryconditionsouteof~Li'Ui=.fi(X,.UljUZj'',JINN,~),0相似文献
10.
莫嘉琪 《数学物理学报(B辑英文版)》2003,23(3)
A class of nonlinear singularly perturbed problems for reaction diffusion equa-tions are considered. Under suitable conditions, by using the theory of differential inequal-ities, the asymptotic behavior of solutions for the initial boundary value problems arestudied, reduced problems of which possess two intersecting solutions. 相似文献
11.
EXISTENCE OF SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES 总被引:1,自引:0,他引:1
WEIZHONGLI 《高校应用数学学报(英文版)》1998,13(2):141-149
In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banaeh spaces. 相似文献
12.
赵为礼 《数学物理学报(B辑英文版)》1994,(4)
ACLASSOFSINGULARLYPERTURBEDNONLINEARROBINPROBLEMSZhaoWeili(赵为礼)(DepartmentofMathematics.JilinUniversity,Changchun130023,China... 相似文献
13.
This paper is concerned with the following nonlinear Dirichlet problem:{-Δpu=|u|^p*-2 u λf(x,u) x∈Ω;u=0 x∈эΩ} whereΔp^u = div(|∧u|^p-2∧u) is the p-Laplacian of u,Ω is a bounded in R^n(n≥3),1<p<n, p=pn/n-p is the critical exponent for the Sobolev imbedding,λ>0 and f(x,u)satisfies some conditions. It reaches the conclusion that this problem has infinitely many solutions. Some results as p=2 or f(x,u) = |u|^q-2 u, where 1<q<p, are generalized. 相似文献
14.
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
15.
Liu Xuanliang Meng Xiaoying Liu Yongqi 《Annals of Differential Equations》2007,23(4):461-469
The purpose of this paper is to study periodic orbits of a perturbed four- dimensional system.Using bifurcation methods and the integral manifold theory,sufficient conditions for the existence and stability of periodic orbits of the perturbed four-dimensional system are obtained. 相似文献
16.
《Annals of Differential Equations》2008,(1):20-28
In this paper the initial-boundary value problem for nonlocal singularly perturbed reaction diffusion system are considered.Using the iterative method and the compa- rison theorem,the existence and asymptotic behavior of the solution for the problem are studied. 相似文献
17.
EXISTENCEANDUNIQUENESSOFSOLUTIONSFORNONLINEARBOUNDARYVALUEPROBLEMSOFVOLTERRA-HAMMERSTEINTYPEINTEGRODIFFERENTIALEQUATION¥WangG... 相似文献
18.
OSCILLATIONANDEXISTENCEOFPOSITIVESOLUTIONSFORNEUTRALDIFFERENTIALEQUATIONSShenJianhua(申建华)(HunanNormalUniversity,湖南师范大学,邮编4100... 相似文献
19.
A CLASS OF NONLINEAR PREDATOR-PREY SINGULARLY PERTURBED ROBIN PROBLEMS FOR REACTION DIFFUSION SYSTEM
A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of solution for the initial boundary value problems are studied. 相似文献
20.
EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES 总被引:3,自引:0,他引:3
陈芳启 《数学物理学报(B辑英文版)》1998,(4)
1IntroductionThetheoryofimpulsivedifferentialequationshasbeenemergingasanimportantareaofinvestigationsinrecentyears(see[1]).Usually,differentialequationandintegralequationinBanachspacesareconsideredonlyonafiniteintervalwithafinitenumberofmomentsofimpulseeffect(see,forexample,[2,3]).InthispapertwestudytheealltenceOfsolutionsformisedmonotoneimpulsiveVolterraintegralequationsontheinfiniteintervalR withaninfinitenumberofmomentsofimpulseeffectinBanachspaces.Byusingtheabedmonotoneiterativetechniqu… 相似文献