共查询到20条相似文献,搜索用时 75 毫秒
1.
On the existence of periodic solutions for the third-order nonlinear ordinary differential equations 总被引:4,自引:0,他引:4
HuangXiankai 《高校应用数学学报(英文版)》1999,14(2):125-130
In this paper,the existence of periodic solution for the third-order nonlinear ordinarydifferential equation of the form -^x f(-^x) g(-^x) h(x)=p(t) is consldered,where f,g,h andp are the continuous functlons, and p (t T) =p (t). By using the Leray-Schauder degreemethod,some sufficient conditions to guarantee the existence of T periodic solution for the equation are obtained. Some previous results are extended and improved. 相似文献
2.
In this paper,by using an extension of Mawhin’s continuation theorem and some analysis methods,we study the existence of periodic solutions for the following prescribed mean curvature system d/dtφ(x')+▽W(x)=p(t), where x∈R^n,W∈C^1(R^n,R),p∈C(R,R^n)is T-periodic and φ(x)=x/√1+|x|^2. 相似文献
3.
In this paper, we study the existence of infinitely many homoclinic solutions for a class of first order Hamiltonian systems ■= JHzt, z, where the Hamiltonian function H possesses the form H(t, z) =1/2L(t)z·z + G(t, z), and G(t, z) is only locally defined near the origin with respect to z. Under some mild conditions on L and G, we show that the existence of a sequence of homoclinic solutions is actually a local phenomenon in some sense, which is essentially forced by the subquadratici... 相似文献
4.
In the studying of the non-dissipative systems,the following periodic boundaryvalue problemsplay a very important role.where p(t)is 2 π-periodic and continuous,g∈C'(R),xg(x)>0(x≠0).Some existence results were obtained under various additional as- 相似文献
5.
We are concerned with the existence of quasi-periodic solutions for the follow- ing equation x″ F_x(x,t)x′ ω~2x φ(x,t)=0, where F and φare smooth functions and 2π-periodic in t,ω>0 is a constant.Under some assumptions on the parities of F and φ,we show that the Dancer's function,which is used to study the existence of periodic solutions,also plays a role for the existence of quasi-periodic solutions and the Lagrangian stability (i.e.all solutions are bounded). 相似文献
6.
In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation x′′(t) + p(t)x′(t) + q(t)x(t) = f(t, x(t)).By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation. 相似文献
7.
In this paper, we construct a continuous positive periodic function p(t) such that the corresponding superlinear Duffing equation x′′+ a(x)~(x2n+1)+p(t)x~(2m+1)= 0, n + 2≤2 m+12n+1 possesses a solution which escapes to infinity in some finite time, and also has infinitely many subharmonic and quasi-periodic solutions, where the coefficient a(x) is an arbitrary positive smooth periodic function defined in the whole real axis. 相似文献
8.
In this paper, we establish the existence of the minimal L~p(p 1) solution of backward stochastic differential equations(BSDEs) where the time horizon may be finite or infinite and the generators have a non-uniformly linear growth with respect to t. The main idea is to construct a sequence of solutions {(Y~n, Z~n)} which is a Cauchy sequence in S~p× M~p space, and finally we prove {(Y~n, Z~n)} converges to the L~p(p 1) solution of BSDEs. 相似文献
9.
THE EXISTENCE AND LOCAL UNIQUENESS OF MULTI-PEAK POSITIVE SOLUTIONS TO A CLASS OF KIRCHHOFF EQUATION
《数学物理学报(B辑英文版)》2020,(1)
In the present paper, we consider the nonlocal Kirchhoff problem ■,where a, b 0, 1 p 5 and ■ 0 is a parameter. Under some assumptions on Q(x),we show the existence and local uniqueness of positive multi-peak solutions by LyapunovSchmidt reduction method and the local Pohozaev identity method, respectly. 相似文献
10.
In this article, we prove the existence of quasi-periodic solutions and the boundedness of all solutions of the p-Laplacian equation(φp(x’))’ + aφp(x+)-bφp(x-) = g(x, t) + f(t), where g(x, t)and f(t) are quasi-periodic in t with Diophantine frequency. A new method is presented to obtain the generating function to construct canonical transformation by solving a quasi-periodic homological equation. 相似文献
11.
Yu. L. Pritykin 《Russian Mathematics (Iz VUZ)》2010,54(1):59-69
We introduce a class of eventually almost periodic sequences where some suffix is almost periodic (i.e., uniformly recurrent).
The class of generalized almost periodic sequences includes the class of eventually almost periodic sequences, and we prove
this inclusion to be strict. We also prove that the class of eventually almost periodic sequences is closed under finite automata
mappings and finite transductions. Moreover, we obtain an effective form of this result. In conclusion we consider some algorithmic
questions related to the almost periodicity. 相似文献
12.
1IntroductionAsisknown,therehavebeenquiteafewresu1tsontheexistenceofalrilostperiodicsolutionsforordinaryanddelaydifferentialstystems.However,tothebestofourknowledge,therehavenotappearedanycorrespondingresu1tsfOrevenordinarydifferencesystemssofar.Todealwithsuchproblems,wewilldefinethenotionoftheso-calleduni-formlyalmostperiodicsequencesbesidesthealmostsequencesandasymptoti-callyalmostsequences.Thenweprovidethecriteriaandthebasicpropertiesofuniformlyalmostperiodicsequenceswhichareneededinestabl… 相似文献
13.
Motivated by a renewed interest in generalizations of classical almost periodicity (originally due to Harald Bohr), we develop
a theorem of Bochner within the framework of almost periodic functions in the sense of Stepanov. As a result we establish
some conditions that guarantee the existence of Stepanov almost periodic solutions to differential equations with Stepanov
almost periodic coefficients. Finally, we extend a now classic theorem of Favard originally stated for classical almost periodic
functions to the Stepanov almost periodic case.
相似文献
14.
In this paper, we consider a discrete almost periodic Lotka–Volterra competition system with delays. Sufficient conditions are obtained for the permanence and global attractivity of the system. Further, by means of an almost periodic functional hull theory, we show that the almost periodic system has a unique strictly positive almost periodic solution, which is globally attractive. Some examples are presented to verify our main results. 相似文献
15.
In this paper, we first present a notion of almost periodic functions on time scales and study their basic properties. Then by means of Liapunov functionals, we study the existence of almost periodic solutions for an almost periodic dynamic equation on time scales. 相似文献
16.
In the first part of this paper, we obtain a new property on the module containment for almost periodic functions. Based on it, we establish the module containment of an almost periodic solution for a class of differential equations with piecewise constant delays. In the second part, we investigate the existence, uniqueness and exponential stability of a positive almost periodic and quasi-periodic solution for a certain class of logistic differential equations with a piecewise constant delay. The module containment for the almost periodic solution is established. 相似文献
17.
In this paper, we study almost periodic logistic delay differential equations. The existence and module of almost periodic solutions are investigated. In particular, we extend some results of Seifert in [G. Seifert, Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence, J. Differential Equations 164 (2000) 451–458]. 相似文献
18.
Lienard方程周期解、概周期解的存在性 总被引:20,自引:2,他引:18
本文考虑Lienard方程x”十f(x)x’+g(x)=e(t),我们得到:当且时,对于任意周期或概周期。数e(t),它有周期或概周期解.而对于Lienard方程x”+f(x)x’+cx=e(t),我们得到:当c>0且时,对于任意周期、或概周期函数e(t),它有周期或概周期解. 相似文献
19.
We first show that like a scalar-valued case, a vector-valued weakly almost periodic function also satisfies the Parseval’s equality. Then we show that the space of vector-valued weakly almost periodic functions is a proper subspace of pseudo almost periodic functions. These solve two open questions on almost periodic type functions. 相似文献