共查询到20条相似文献,搜索用时 750 毫秒
1.
A periodic predator–prey-chain system with impulsive effects is considered. By using the global results of Rabinowitz and standard techniques of bifurcation theory, the existence of its trivial, semi-trivial and nontrivial positive periodic solutions is obtained. It is shown that the nontrivial positive periodic solution for such a system may be bifurcated from an unstable semi-trivial periodic solution. Furthermore, the stability of these periodic solutions is studied. 相似文献
2.
J.M. Cushing 《Journal of Difference Equations and Applications》2013,19(5-6):487-513
The existance of nontrivial (x=0( periodic solutions of a general class of periodic nonlinear difference equations is proved using bifurcation theory methods. Specifically, the existance of a global continuum of nontrivial periodicsolutions that bifurcates from the trivial solution (x=0) is proved. Conditions are given under which the nontrivial solutions are positive. A prerrequisite Fredholm and adjoint operator theory for linear periodic systems is developed. An application to application dynamics is made. 相似文献
3.
Alexander Pankov 《Journal of Mathematical Analysis and Applications》2010,371(1):254-265
The main result of the paper concerns the existence of nontrivial exponentially decaying solutions to periodic stationary discrete nonlinear Schrödinger equations with saturable nonlinearities, provided that zero belongs to a spectral gap of the linear part. The proof is based on the critical point theory in combination with periodic approximations of solutions. As a preliminary step, we prove also the existence of nontrivial periodic solutions with arbitrarily large periods. 相似文献
4.
V. I. Senashov 《Ukrainian Mathematical Journal》1999,51(11):1729-1732
We prove a theorem that characterizes the class of almost layer finite groups in the class of periodic groups without involutions:
If the normalizer of any nontrivial finite subgroup of a periodic conjugate biprimitive finite group without involutions is
almost layer finite, then the group itself is almost layer finite.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1529–1533, November, 1999. 相似文献
5.
Shiwang Ma Zhi-Qiang Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2013,64(5):1413-1442
In this paper, we study the existence of multibump solutions for discrete nonlinear Schrödinger equations with periodic potentials. We first reduce the existence of multibump homoclinic solutions to the existence of an isolated homoclinic solution with a nontrivial critical group. Then, we study the existence of homoclinics with nontrivial critical groups for both superlinear and asymptotically linear discrete periodic nonlinear Schrödinger equations, and we provide simple sufficient conditions for the existence of homoclinics with nontrivial critical groups in the positive definite case. As an application, we get, without any symmetry assumptions, infinitely many geometrically distinct homoclinic solutions with exponential decay at infinity. 相似文献
6.
Ruyun Ma Guowei Dai 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(15):5023-5029
In this paper we study the existence of periodic solutions with prescribed wavelength for two classes of nonlocal fourth-order nonautonomous differential equations. Existence of nontrivial solutions for the first equation is proved using Clark’s theorem. Existence of nontrivial solutions for the second equation is proved using the symmetric mountain-pass theorem. 相似文献
7.
《Annals of Differential Equations》2012,(2):153-156
In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions. 相似文献
8.
Yuhua Long 《Journal of Difference Equations and Applications》2020,26(7):966-986
In the present paper, we apply the method of invariant sets of descending flow to establish a series of criteria to ensure that a second-order nonlinear functional difference equation with periodic boundary conditions possesses at least one trivial solution and three nontrivial solutions. These nontrivial solutions consist of sign-changing solutions, positive solutions and negative solutions. Moreover, as an application of our theoretical results, an example is elaborated. Our results generalize and improve some existing ones. 相似文献
9.
Zhu-Lian Tao Shang'an Yan Song-Lin Wu 《Journal of Mathematical Analysis and Applications》2007,331(1):152-158
We prove the existence of nontrivial critical points for a class of superquadratic nonautonomous second-order Hamiltonian systems by applying condition ∗(C) to critical point theory, and some new solvability conditions of nontrivial periodic solutions are obtained. 相似文献
10.
H. Bereketoglu 《Periodica Mathematica Hungarica》1992,24(1):13-22
The aim of this paper is to investigate sufficient conditions (Theorem 1) for the nonexistence of nontrivial periodic solutions
of equation (1.1) withp ≡ 0 and (Theorem 2) for the existence of periodic solutions of equation (1.1). 相似文献
11.
Aleksander Ćwiszewski 《Central European Journal of Mathematics》2011,9(2):244-268
A translation along trajectories approach together with averaging procedure and topological degree are used to derive effective
criteria for existence of periodic solutions for nonautonomous evolution equations with periodic perturbations. It is shown
that a topologically nontrivial zero of the averaged right hand side is a source of periodic solutions for the equations with
increased frequencies. Our setting involves equations on closed convex cones, therefore it enables us to study positive solutions
of nonlinear parabolic partial differential equations. 相似文献
12.
Shandelle M. Henson 《Journal of Difference Equations and Applications》2013,19(3):315-331
The local existence and local asymptotic stability of nontrivial p-periodic solutions of p-periodically forced discrete systems are proven using Liapunov-Schmidt methods. The periodic solutions bifurcate transcritically from the trivial solution at the critical value n=ncr of the bifurcation parameter with a typical exchange of stability. If the trivial solution loses (gains) stability as n is increased through ncr , then the periodic solutions on the nontrivial bifurcating branch are locally asymptotically stable if and only if they correspond to n>ncr (n ncr ). 相似文献
13.
V. I. Senashov 《Ukrainian Mathematical Journal》2005,57(11):1809-1817
We study the structure of Sylow 2-subgroups in Shunkov periodic groups with almost layer-finite normalizers of finite nontrivial
subgroups.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1548–1556, November, 2005. 相似文献
14.
Giuseppina Barletta Nikolaos S. Papageorgiou 《NoDEA : Nonlinear Differential Equations and Applications》2012,19(3):303-328
We consider a second order periodic problem with resonance both at infinity and at zero. Combining variational methods together with Morse theory, we produce six nontrivial solutions for the periodic problem. 相似文献
15.
In this paper, the bifurcation of nontrivial periodic solutions for an impulsively perturbed system of ordinary differential equations which models an integrated pest management strategy is studied by means of a fixed point approach. A biological control, consisting in the periodic release of infective pests, and a chemical control, consisting in pesticide spraying, are employed to maintain susceptible pests below an acceptable level. It is assumed that the biological and chemical control act with the same periodicity, but not in the same time. It is then shown that if the constant amount of infective pests released each time reaches a certain threshold value, then the trivial susceptible pest-eradication periodic solution loses its stability, which is transferred to a newly emerging nontrivial periodic solution. 相似文献
16.
Combining truncature techniques with a variational approach we establish an existence result for nontrivial periodic solutions for a class of fourth-order ordinary differential equations involving extended Fisher–Kolmogorov and Swift–Hohenberg equations. 相似文献
17.
Xinjian Wang 《Applicable analysis》2013,92(14):2619-2638
This paper is concerned with the time periodic traveling wave solutions for a periodic Lotka–Volterra predator–prey system, which formulates that both species synchronously invade a new habitat. We first establish the existence of periodic traveling wave solutions by combining the upper and lower solutions with contracting mapping principle and Schauder’s fixed point theorem. The asymptotic behavior of nontrivial solution is given precisely by the stability of the corresponding kinetic system that has been widely investigated. Then, the nonexistence of periodic traveling wave solutions is confirmed by applying the theory of asymptotic spreading. We show the conclusion for all positive wave speed and obtain the minimal wave speed. 相似文献
18.
In this paper, by using the Nehari manifold approach in combination with periodic approximations, we obtain the sufficient conditions on the existence of the nontrivial ground state solutions of the periodic discrete coupled nonlinear Schrödinger equations. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
19.
EXISTENCE OF PERIODIC SOLUTIONS FOR A DIFFERENTIAL INCLUSION SYSTEMS INVOLVING THE p(t)-LAPLACIAN 总被引:1,自引:0,他引:1
We study a nonlinear periodic problem driven by the p(t)-Laplacian and having a nonsmooth potential (hemivariational inequalities). Using a variational method based on nonsmooth critical point theory for locally Lipschitz functions, we first prove the existence of at least two nontrivial solutions under the generalized subquadratic and then establish the existence of at least one nontrivial solution under the generalized superquadratic. 相似文献
20.
Zuosheng Hu Angelo B. Mingarelli 《Proceedings of the American Mathematical Society》2004,132(2):417-428
We obtain sufficient conditions for the existence of almost periodic solutions of almost periodic linear differential equations thereby extending Favard's classical theorem. These results are meant to complement previous results of the authors who have shown by means of a counterexample that the boundedness of all solutions is not, by itself, sufficient to guarantee the existence of an almost periodic solution to a linear almost periodic differential equation.