共查询到20条相似文献,搜索用时 0 毫秒
1.
Using the Szulkin's variant of Mountain Pass Theorem, we prove the existence of nontrivial orbits with prescribed period for autonomous Hamiltonian systems in infinite dimen-sional Hilbert spaces. 相似文献
2.
This paper is concerned with a equation, which is a model of filtration in partially saturated porous media, with mixed boundary condition of Dirichlet-Neumann type {∂_tb(u) - ∇ • a [∇u + k(b(u))] = f \qquad in \quad (0, ∞) × Ω u = h(t, x) \qquad on \quad (0, ∞) × Γ_0 v • a [∇u + k(b(u))] = g(t, x) \qquad on \quad (0, ∞) × Γ_1 We have proved that there exists one and only one periodic solution of the problem under the data f, g and h with same period. Moreover, we have proved that the unique periodic solution ω is asymptotically statble in the sense that for any solution u of the problem b(u(t)) - b(ω(t)) → 0\qquad in L²(Ω) as t → ∞. 相似文献
3.
Bo Wen LIU 《数学学报(英文版)》2020,36(5):597-604
In this paper,we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the(2+N)-and(3+N)-body problems of the Lennard-Jones system.These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation. 相似文献
4.
吴畏 《应用泛函分析学报》2000,2(3):224-227
讨论AF-代数的闭的Jordan理想。我们证明了AF-代灵敏的一个闭的子集是其一Jordan理想的充分必要条件是它是一个结合理想。 相似文献
5.
说明一类拟线性特征值问题有两个正解;一个大解,一个小解。同时本也证明小解是一个山路解当参数大时发展成为尖解。 相似文献
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7.
Baojian Hong 《Applied mathematics and computation》2010,217(2):472-479
In this paper, an generalized Jacobi elliptic functions expansion method with computerized symbolic computation is used for constructing more new exact Jacobi elliptic functions solutions of the generalized coupled Hirota-Satsuma KdV system. As a result, eight families of new doubly periodic solutions are obtained by using this method, some of these solutions are degenerated to solitary wave solutions and triangular functions solutions in the limit cases when the modulus of the Jacobi elliptic functions m → 1 or 0, which shows that the applied method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics. 相似文献
8.
ONGLOBALASYMPTOTICSTABILITYOFTHEZEROSOLUTIONOFAGENERALIZEDLIENARD′SSYSTEMPENGLEQUNANDHUANGLIHONGAbstract:Inthispaper,westudyt... 相似文献
9.
给出了一种基于解的有界性而判定周期解存在性的方法。通过应用比较原理和讨论辅助一维微分方程解的性质得到了本文的主要结果。 相似文献
10.
研究一类超线性二阶Hamiltonian系统,且非线性项是奇的,不需要假设Ambros-etti-Rabinowitz的超二次条件,利用对称型山路引理得到无穷多周期解存在性结果. 相似文献
11.
Some existence theorems are obtained for periodic solutions of a class of non-autonomous second order Hamiltonian systems with local superquadratic potential, by making use of the generalized mountain pass theorem. 相似文献
12.
讨论-类具Hardy-Sobolev临界指数的非齐次半线性椭圆方程,通过应用Lions集中紧性原理建立了S_μ(Q)的极小函数,再结合Ekeland变分原理、山路引理和Nehari流形的分析方法证明了方程在适当条件下正解的存在性与多重性. 相似文献
13.
Global Optima of Lennard-Jones Clusters 总被引:2,自引:0,他引:2
Robert H. Leary 《Journal of Global Optimization》1997,11(1):35-53
This paper summarizes the current state of knowledge concerning putative global minima of the potential energy function for Lennard-Jones clusters, an intensely studied molecular conformation problem. Almost all known exceptions to global optimality of the well-known Northby multilayer icosahedral conformations for microclusters are shown to be minor variants of that geometry. The truly exceptional case of face-centered cubic lattice conformations is examined and connections are made with the macrocluster problem. Several types of algorithms and their limitations are explored, and a new variation on the growth sequence idea is presented and shown to be effective for both small and large clusters. 相似文献
14.
In this paper, the authors study the existence of periodic solutions to an evolution p-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution p-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique. 相似文献
15.
Jin Deng 《应用数学学报(英文版)》2006,22(1):163-170
In this paper, a nonlinear difference system {xn=βxn-1+f(yn-κ),yn=βyn-1+f(xn-κ),n∈N is considered a,nd sufficient conditions for the existe~lce of the stable 2κ + 1 periodic solution are obtained. 相似文献
16.
张伟年 《应用数学学报(英文版)》1996,12(4):384-392
NOTESONGENERALIZEDEXPONENTIALDICHOTOMIES¥ZHANGWEINIAN(张伟年)(CenterfofMathematicalSciencesCICA,theChineseAcademyofSciences,Chen... 相似文献
17.
利用渐近概周期函数的性质得到带梯度算子二阶方程的渐近概周期解在C(R^-)中的存在性.同时利用迭代法和线性常微分方程的概周期解的存在性和唯一性,得到R上此方程渐近概周期解的存在和唯一性. 相似文献
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Hui Fang 《Czechoslovak Mathematical Journal》2003,53(3):561-570
In this paper, we employ some new techniques to study the existence of positive periodic solution of n-species neutral delay system N
i
= N
i
(t)[
i
(t) —
ij
(t)N
j
(t) —
b
ij
(t)N
j
(t—
ij
(t))—
c
ij
(t)N
j
(t—
ij
(t))].As a corollary, we answer an open problem proposed by Y. Kuang. 相似文献
20.
具时滞扰动的高维系统概周期解的存在性、唯一性和稳定性 总被引:1,自引:0,他引:1
本文考虑了一类具时滞扰动的高维系统,利用不动点定理,建立了保证其撬周期解的存在性、唯一性和稳定性的充分性条件,推广了相关文献的主要结论. 相似文献