共查询到20条相似文献,搜索用时 62 毫秒
1.
One predator two prey system is a research topic which has both the theoretical and practical values.This paper provides a natural condition of the existence of stable pcsitive steady-state solutions for the one predator two prey system.Under this conditon we study the existence of the positive steady-state solutions at vicinity of the triple eigenvalue by implicit function theorem,discuss the positive stable solution problem bifureated from the semi-trivial solutions containing two positive components with the help of bifurcation and perturbation methods. 相似文献
2.
利用临界点理论研究带阻尼项的二阶Hamilton系统周期解的存在性.在具有部分周期位势和线性增长非线性项时,根据广义鞍点定理定理,得到了系统多重周期解存在的充分条件. 相似文献
3.
MAJOR-EFFICIENT SOLUTIONS AND WEAKLY MAJOR-EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING 总被引:10,自引:0,他引:10
HU YUDA 《高校应用数学学报(英文版)》1994,9(1):85-94
MAJOR-EFFICIENTSOLUTIONSANDWEAKLYMAJOR-EFFICIENTSOLUTIONSOFMULTIOBJECTIVEPROGRAMMING¥HUYUDA(Dept.ofAppl.Math.,ShanghaiJiaoTon... 相似文献
4.
王雪梅 《数学的实践与认识》1998,(2)
本文借助laplace变换及不动点理论,研究了系统(?)=Ax+integral from n=0 to t(c(t-s)x(s)ds)+F(t,x)的周期解的存在性。唯一性问题,给出了一组充分条件. 相似文献
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姚庆六 《数学物理学报(A辑)》2005,25(Z1):1004-1011
考察了含有各阶导数的一般Lidstone边值问题的存在性.利用Leray-Schauder不动 点定理、等价范数及积分方程组技巧证明了解或正解的两个存在定理.这些定理在应用上非常 方便.换句话说,通过考察非线性项在某个有界子集上的“高度”就能决定解的存在性. 相似文献
7.
姚庆六 《数学物理学报(A辑)》2005,25(7):1004-1011
考察了含有各阶导数的一般Lidstone边值问题的存在性. 利用Leray-Schauder不动点定理、等价范数及积分方程组技巧证明了解或正解的两个存在定理. 这些定理在应用上非常方便. 换句话说, 通过考察非线性项在某个有界子集上的“高度”就能决定解的存在性. 相似文献
8.
正指数超线性Emden-Fowler方程奇异边值问题的正解 总被引:12,自引:0,他引:12
本文利用函数逼近和不动点理论给出了正指数超线性Emden-Fowler方程奇异边值问题有C1[0,1]正解的充分必要条件. 相似文献
9.
On Nonautonomous Prey predator Patchy System 总被引:4,自引:0,他引:4
Ruan Xiaoe 《东北数学》1999,(1)
§1.IntroductionInteresthasbeengrowinginthestudyofmathematicalmodelsofpopulationsdispers-ingamongpatchesinaheterogeneousenviro... 相似文献
10.
A sufficiency criterion is established for the existence of positive periodic solutions of a nonautonomous discrete time predator-prey system of Lotka-Volterra type. Our approach is based on the coincidence degree and the related continuation theorem as well as some priori estimates. 相似文献
11.
In this article, we employ monotone iterative technique to study the existence of solutions for second order periodic boundary value problem and periodic solutions of delay difference equations. 相似文献
12.
Mingjian Cai 《Applied Mathematics Letters》2012,25(3):417-422
In this work, a singular elliptic system is investigated, which involves multiple strongly coupled critical terms. By means of variational methods and analytic techniques, the existence of positive solutions to the system is established. 相似文献
13.
In this paper we use regularization methods for proving the existence and uniqueness of smooth solutions of a first order semilinear stochastic partial differential equation. The regularizations are chosen in such a way so that the known theory of stochastich parabolic Ito equations can be applied. The existence of the generalized solutions and, if the the time parameter is the whole real axis, the existence of mean square bounded generalized solutions, is also considered 相似文献
14.
Dongsheng Kang 《Applied mathematics and computation》2011,218(8):4514-4522
In this paper, a semilinear system of elliptic equations is investigated, which involves multiple critical exponents and singular points. By variational methods and analytic techniques, the related best Hardy-Sobolev constants is studied and the existence of positive solutions is established. 相似文献
15.
退化时滞中立型微分系统解的存在唯一性及指数估计 总被引:1,自引:1,他引:0
本文主要讨论退化时滞中立型微分系统解的存在唯一性及指数估计问题.通过定义正则矩阵对讨论退化时滞中立型微分系统解的存在唯一性.再定义基解矩阵以及Laplace变换,给出该系统的通解表达式,最后利用通解表达式和Gronwall-Bellman积分不等式给出该系统解的指数估计及解的精确指数界限. 相似文献
16.
On Singular Solutions of Boundary Value Problems for Quasilinear Parabolic Equations with Absorption 总被引:1,自引:0,他引:1
The existence and nonexistence of non-trivial solutions for the boundary value problemare studied. 相似文献
17.
51.Intr0ducti0nInthispaper,weconsidertheexistenceofalmostperiodicsoluti0nsforthefoll0wingneutralfunctionaldifferentialebuationwithpiecewiseconstantargument:wherep,qarenonzeroconstants,p(t)lsanalmostper1odicfunctlon,g:RXRXR-Risanalm0stperiodicfunctionintanduniformlyonRXR,andL.jstandsforthegreatest-integerfunction.Notethatforanyintegern,if2n-10)andtheequations(1),(2)areadvanced(orretardedrespectively).Differentialequationswithpiecewiseconstantar… 相似文献
18.
§1.DefinitionsandNotationsLetEbearealBanachspace,andletx,y∈E.Thedirectionalderivative[x,y]-ofxandyisdefinedby(formoredetailss... 相似文献
19.
赵晓强 《应用数学学报(英文版)》1995,11(3):263-267
ONTHEEXISTENCEOFGLOBALGENERALSOLUTIONSOF POLYNOMIALSYSTEMSZHAOXIAOQIANG(赵晓强)(InstituteofAppliedMathematics,theChineseAcademyo... 相似文献
20.
By establishing the corresponding variational framework, and using the mountain pass theorem, linking theorem and Clark theorem in critical point theory, we give the existence of multiple solutions for a fourth-order difference boundary value problem with parameter. Under some suitable assumptions we obtain some results which ensure the existence of well precise interval of parameter for which the problem admits multiple solutions. Some examples are presented to illustrate the main results. 相似文献