共查询到20条相似文献,搜索用时 62 毫秒
1.
《数学物理学报(A辑)》2018,(6)
该文研究了一类具有p-Laplacian算子的非线性Caputo分数阶微分方程反周期边值问题解的存在唯一性.首先,利用分数阶微分方程和反周期边值条件给出了该边值问题的Green函数,然后利用p-Laplacian算子的性质和Banach压缩映射原理得到该边值问题解的存在唯一性结论,最后给出两个例子验证结论的合理性.值得一提的是此文研究的微分方程的反周期边值条件是带有Caputo分数阶微分. 相似文献
2.
石琴春 《数学物理学报(A辑)》1993,13(3):316-321
本文用回路族上的渐近估计方法,获得了一维Dirac方程组在有限区间自伴边值条件,周期条件以及非局部边值条件下特征值问题的迹公式。 相似文献
3.
主要讨论带周期边值条件的二维波动方程,利用变分法寻找其周期解,并利用一些特殊的数作为周期使这一方法变得更简单. 相似文献
4.
该文利用锥不动点理论获得了一类离散的周期边值问题的单个和多个正解存在的理论, 进而获得了带有周期边值条件的非线性差分方程在离散片段上的新结果. 相似文献
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6.
《数学的实践与认识》2013,(21)
研究化学中一类时滞自催化反应扩散方程在Neumann边值条件下的稳定性和Hopf分支,得到了稳定性和Hopf分支出现的条件,并利用中心流形和规范型理论讨论其分支周期解的分支方向和稳定性及分支周期的交化律. 相似文献
7.
广义Hasegawa-Mima方程整体解的存在惟一性 总被引:6,自引:0,他引:6
张瑞凤 《数学的实践与认识》2005,35(8):224-228
运用关于时间的一致先验估计,证明了具有周期边值条件的广义Hasegawa-Mima方程整体解的存在性、惟一性. 相似文献
8.
利用非线性Leray-Schauder二择一定理和锥拉伸与压缩不动点定理,讨论了一类奇异二阶脉冲微分方程在周期边值条件下多个正解的存在性. 相似文献
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本文应用对时间的一致先验估计,证明了一类具有周期边值条件的长短波方程组的整体吸引子的存在性. 相似文献
11.
Ukrainian Mathematical Journal - We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions.... 相似文献
12.
Butuzov V. F. Nefedov N. N. Recke L. Schneider K. R. 《Computational Mathematics and Mathematical Physics》2018,58(12):1989-2001
Computational Mathematics and Mathematical Physics - For a singularly perturbed parabolic problem with Dirichlet conditions we prove the existence of a solution periodic in time and with boundary... 相似文献
13.
In this paper we consider boundary value problems in perforated domains with periodic structures and cavities of different scales, with the Neumann condition on some of them and mixed boundary conditions on others. We take a case when cavities with mixed boundary conditions have so called critical size (see [1]) and cavities with the Neumann conditions have the scale of the cell. In the same way other cases can be studied, when we have the Neumann and the Dirichlet boundary conditions or the Dirichlet condition and the mixed boundary condition on the boundary of cavities.There is a large literature where homogenization problems in perforated domains were studied [2];-[7]; 相似文献
14.
Albert C.J. Luo Brandon M. Rapp 《Communications in Nonlinear Science & Numerical Simulation》2010,15(1):86-98
In this paper, sliding and transversal motions on the boundary in the periodically driven, discontinuous dynamical system is investigated. The simple inclined straight line boundary in phase space is considered as a control law for such a dynamical system to switch. The normal vector field for a flow switching on the separation boundary is adopted to develop the analytical conditions, and the corresponding transversality conditions of a flow to the boundary are obtained. The conditions of sliding and grazing flows to the separation boundary are presented as well. Using mapping structures, periodic motions of such a discontinuous system are predicted, and the corresponding local stability and bifurcation analysis of the periodic motion are carried out. Numerical illustrations of periodic motions with and without sliding on the boundary are given. The local stability analysis cannot provide the proper prediction of the sliding and grazing motions in discontinuous dynamical systems. Therefore, the normal vector fields of periodic flows are presented, and the normal vector fields on the switching boundary points give the analytical criteria for sliding and transversality of motions. 相似文献
15.
Mathematische Zeitschrift - We address the question of quantitative uniqueness for the equation $$\Delta u=V u$$ with either periodic or Dirichlet boundary conditions in a disk. We construct... 相似文献
16.
Mathematical Notes - We provide estimates for the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions for special potentials that are... 相似文献
17.
Theoretical and Mathematical Physics - We consider the modernized Camassa—Holm equation with periodic boundary conditions. The quadratic nonlinearities in this equation differ substantially... 相似文献
18.
Duffing型方程组的边界值问题的解的存在性 总被引:5,自引:0,他引:5
给出了带Dirichlet边界条件、Neumann边界条件和周期边界条件的Duffing型方程组的两点边界值问题的解的几个存在性定理。 相似文献
19.
For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures. 相似文献
20.
We study the properties of wave operators satisfying the periodicity condition with respect to time and homogeneous boundary conditions of the third kind and of Dirichlet type. We prove the existence of a nontrivial periodic (in time) sine-Gordon solution with homogeneous boundary conditions of the third kind and of Dirichlet type. We obtain theorems on the existence of periodic solutions of a quasilinear wave equation with variable (in x) coefficients and a boundary condition of the third kind. 相似文献