共查询到20条相似文献,搜索用时 671 毫秒
1.
Consider a k multiple closed orbit on an invariant surface of a four dimensional system, after a suitable perturbation, the closed orbit can generate periodic orbits and double-period orbits. Using bifurcation methods and techniques, sufficient conditions for the existence of periodic solutions to the perturbed four dimensional system are obtained, and the period-doubling bifurcations is discussed. 相似文献
2.
WeiLi ZhouHaiyun 《高校应用数学学报(英文版)》2005,20(2):175-182
By using the perturbation results of sums of ranges of accretive mappings of Calvert and Gupta (1978),the abstract results on the existence of solutions of a family of nonlinear boundary value problems in L^2 (Ω) are studied. The equation discussed in this paper and the methods used here are extension and complement to the corresponding results of Wei Li and He Zhen‘s previous papers. Especially,some new techniques are used in this paper. 相似文献
3.
In this paper, the cone theory and MSnch fixed point theorem combined with the monotone iterative technique are used to investigate the positive solutions for a class of systems of nonlinear singular differential equations with multi-point boundary value conditions on the half line in a Banach space. The conditions for the existence of positive solutions are formulated. In addition, an explicit iterative approximation of the solution is also derived. 相似文献
4.
THE NONLOCAL INITIAL PROBLEMS OF A SEMILINEAR EVOLUTION EQUATION 总被引:1,自引:0,他引:1
The purpose of this paper is to investigate the existence of solutions to a nonlocal Cauchy problem for an evolution equation. The methods used here include the semigroup methods in proper spaces and Schauder's theorem. And the results are applied to a system of nonlinear partial differential equations with nonlinear boundary conditions. 相似文献
5.
A functional equation of nonlinear iterates is discussed on the circle S1 for its continuous solutions and differentiable solutions. By lifting to R, the existence, uniqueness and stability of those solutions are obtained. Techniques of continuation are used to guarantee the preservation of continuity and differentiability in lifting. 相似文献
6.
含有p拉普拉斯算子方程的解的存在性研究 总被引:3,自引:0,他引:3
By using the perturbation theories on sums of ranges for nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence of a solution u ∈ Lp (Ω) to nonlinear equations involving p-Laplacian operator △p, where 2N/N 1 < p < ∞ and N (≥ 1 )denotes the dimension of RN,is studied. The equation discussed and the methods shown in the paper are continuation and complement to the corresponding results of Li and Zhen's previous papers. To obtain the result ,some new techniques are used. 相似文献
7.
与 p-Laplacian 算子相关的非线性Neumann边值问题解的存在性 总被引:2,自引:0,他引:2
Using perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present the abstract results on the existence of solutions of one kind nonlinear Neumann boundary value problems related to p-Laplacian operator. The equation discussed in this paper and the method used here extend and complement some of the previous work. 相似文献
8.
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
9.
CHEN Xue-hong JIANG Cheng-shunInstitute of Information Engineering Information Engineering University Zhengzhou China 《数学季刊》2004,19(1):16-23
This paper deals with an initial boundary value problem for the strongly coupled reaction-diffusion systems with a full matrix of diffusion coefficients. The global existence of solutions is proved by using the techniques based on invariant regions, Lyapunov functional methods, and local Lp prior estimates independent of time. 相似文献
10.
康东升 《数学物理学报(B辑英文版)》2010,(5):1529-1540
In this article, we study the quasilinear elliptic problem involving critical Hardy Sobolev exponents and Hardy terms. By variational methods and analytic techniques, we obtain the existence of sign-changing solutions to the problem. 相似文献
11.
Lixi Wen Xianhua Tang Sitong Chen 《Mathematical Methods in the Applied Sciences》2020,43(7):4222-4238
In this paper, we prove the existence of nontrival solutions of mountain-pass type, least energy solutions and ground state solutions for logarithmic Choquard equation. Some new variational methods and techniques are used in the present paper and we extend and improve the present ones in the literature. 相似文献
12.
13.
《Nonlinear Analysis: Real World Applications》2008,9(2):438-470
We consider the behaviour of mixing reacting compressible flows with inflow–outflow boundary conditions corresponding to the injection of reactants, fuel and oxidizer in a bounded region. Analytical results on the existence of solutions for small time and data are given in the two-dimensional case, using extensions of the techniques of Valli and Zajaczowski [Navier–Stokes equations for compressible fluids: global existence and qualitative properties of the solutions in the general case, Commun. Math. Phys. 103 (1986), 259–296]. As well, computational results are presented using finite difference methods. 相似文献
14.
Xiao-Jiao HuangXing-Ping Wu Chun-Lei Tang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(7):2602-2611
The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concave-convex nonlinearity by variational methods and some analysis techniques. 相似文献
15.
The existence and multiplicity of positive solutions are studied for a class of quasilinear elliptic equations involving Sobolev critical exponents with mixed Dirichlet-Neumann boundary conditions by the variational methods and some analytical techniques. 相似文献
16.
We employ the Monge–Kantorovich mass transfer
theory to study the existence of solutions for a large class of parabolic partial
differential equations. We deal with nonhomogeneous nonlinear diffusion problems
(of Fokker–Planck type) with time-dependent coefficients. This work greatly
extends the applicability of known techniques based on constructing weak
solutions by approximation with time-interpolants of minimizers arising from
Wasserstein-type implicit schemes.
It also generalizes previous results of the
authors, where proofs of convergence in the case of a right-hand side in
the equation is given by these methods. To prove the existence of weak
solutions we establish an interesting maximum principle for such
equations. This involves comparison with the solution for the
corresponding homogeneous, time-independent equation. 相似文献
17.
Gen-Qiang Wang 《Journal of Difference Equations and Applications》2013,19(2):261-304
Doubly periodic travelling waves can be used to describe dynamic patterns of signals that govern movements of animals. In this paper, we study the existence of such waves in cellular networks involving the discontinuous Heaviside step function. This is done by finding ω-periodic solutions of an accompanying recurrence relation with a priori unknown parameters and the Heaviside function. Since analytic tools cannot be used to handle discontinuous models such as ours, existence of periodic solutions is investigated by means of symmetry, combinatorial techniques and accompanying linear systems. By such means, we are able to obtain all periodic solutions with least periods 1 through 6. Our techniques are new and good for other periodic solutions with relatively small periods. 相似文献
18.
Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy–Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques. 相似文献
19.
Patrick Guidotti Kate Longo 《NoDEA : Nonlinear Differential Equations and Applications》2011,18(4):407-425
A number of image denoising models based on higher order parabolic partial differential equations (PDEs) have been proposed
in an effort to overcome some of the problems attendant to second order methods such as the famous Perona–Malik model. However,
there is little analysis of these equations to be found in the literature. In this paper, methods of maximal regularity are
used to prove the existence of unique local solutions to a class of fourth order PDEs for noise removal. The proof is laid
out explicitly for two newly proposed fourth order models, and an outline is given for how to apply the techniques to other
proposed models. 相似文献
20.
This paper is concerned with the existence, uniqueness and asymptotic stability of positive steady-states for a nonlocal dispersal equation arising from selection–migration models in genetics. Due to the lack of compactness and regularity of the nonlocal operators, many classical methods cannot be used directly to the nonlocal dispersal problems. This motivates us to find new techniques. We first establish a criterion on the stability and instability of steady-states. This result is effective to get a necessary condition to guarantee a positive steady-state, it also gives the uniqueness. Then we prove the existence of nontrivial solutions by the corresponding auxiliary equations and maximum principle. Finally, we consider the dynamic behavior of the initial value problem. 相似文献