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131.
耿堤 《数学物理学报(B辑英文版)》2005,25(2):283-295
In this paper a semilinear biharmonic problem involving nearly critical growth with Navier boundary condition is considered on an any bounded smooth domain. It is proved that positive solutions concentrate on a point in the domain, which is also a critical point of the Robin‘s function corresponding to the Green‘s function of biharmonic operator with the same boundary condition. Similar conclusion has been obtained in [6] under the condition that the domain is strictly convex. 相似文献
132.
133.
JIA Man LOU Sen-Yue 《理论物理通讯》2006,46(1):91-96
New types of exact solutions of the (N + 1)-dimensional φ^4-model are studied in detail. Some types of interaction solutions such as the periodic-periodic interaction waves and the periodic-solitary wave interaction solutions are found. 相似文献
134.
135.
将Simon Hood最近提出的扩展Clarkson和Kruskal (CK)方法,推广并应用于Boussinesq方程,得到了该方程的若干新的约化和相似解。该方法也适用于其他有重要物理背景的非线性演化方程。 相似文献
136.
《数学物理学报(B辑英文版)》2005,25(3):395-400
A locally convex space is said to be a Gâteaux differentiability space (GDS) provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gâteaux differentiable in D. This paper shows that the product of a GDS and a family of separable Fréchet spaces is a GDS, and that the product of a GDS and an arbitrary locally convex space endowed with the weak topology is a GDS. 相似文献
137.
An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems 下载免费PDF全文
I. Boztosun M. Karakoc 《中国物理快报》2007,24(11):3028-3031
We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there is a connection between the asymptotic iteration and the Nikiforo-Uvarov methods, which both solve the second order linear ordinary differential equations analytically. 相似文献
138.
Global vector-field reconstruction of nonlinear dynamical systems from a time series with SVD method and validation with Lyapunov exponents 总被引:2,自引:0,他引:2 下载免费PDF全文
A method for the global vector-field reconstruction of nonlinear dynamical systems from a time series is studied in this paper. It employs a complete set of polynomials and singular value decomposition (SVD) to estimate a standard function which is certtral to the algorithm. Lyapunov exponents and dimension, calculated from the differential equations of a standard system, are used for the validation of the reconstruction. The algorithm is proven to be practical by applying it to a Roessler system. 相似文献
139.
Velocity-dependent symmetries and conserved quantities of the constrained dynamical systems 下载免费PDF全文
In this paper, we have extefided the theorem of the velocity-dependent symmetries to nonholonomic dynamical systems. Based on the infinitesimal transformations with respect to the coordinates, we establish the determining equations and restrictive equation of the velocity-dependent system before the structure equation is obtained. The direct and the inverse issues of the velocity-dependent symmetries for the nonholonomic dynamical system is studied and the non-Noether type conserved quantity is found as the result. Finally, we give an example to illustrate the conclusion. 相似文献
140.