•Journal•ISSN: 0253-5831
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science
Science China Press
About: Science in China Series A-Mathematics, Physics, Astronomy & Technological Science is an academic journal. The journal publishes majorly in the area(s): Meromorphic function & Nonlinear system. It has an ISSN identifier of 0253-5831. It is also open access. Over the lifetime, 163 publications have been published receiving 2439 citations.
Topics: Meromorphic function, Nonlinear system, Boundary value problem, Uniqueness, Finite element method
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Abstract: An artificial boundary condition at the edge of finite computational grids is devised. Itcan simulate the transmitting process of clastic surface waves and body waves incident atarbitrary angles under any accuracy required. It may be used for two- or three-dimensionaltransient wave analyses in laterally heterogeneous media and easily incorporated into exist-ing finite element or finite difference computational codes.
606 citations
TL;DR: In this article, the first eigenvalue of the Laplace operator of satisfaction λ 1 ≈π 2 for a compact Riemannian manifold with non-negative Recci curvature was proved.
Abstract: The main theorem proved in this work is: Let M be a compact Riemannian manifold withnon-negative Recci curvature, then the first eigenvalue -λ1, of the Laplace operator of Msatisfies λ1≥π2, where d denotes the diameter of the M. This estimate improves the recentresults due to S. T. Yan and P. Li and gives the best estimate for this kind of manifold
171 citations
TL;DR: In this paper, a Maslov-type index theory for paths in the symplectic groups, especially for the degenerate paths via rotational perturbation method, was introduced, which gives a full classification of the linear Hamiltonian systems with continuous, periodic, and symmetric coefficients.
Abstract: This paper introduces a Maslov-type index theory for paths in the symplectic groups, especially for the degenerate paths via rotational perturbation method, therefore gives a full classification of the linear Hamiltonian systems with continuous, periodic, and symmetric coefficients. Associating this index with each periodic solution, we establish the existence of muhiple periodic solutions of asymptotically linear Hamihonian systems.
160 citations
TL;DR: In this paper, the concept of singular point has been defined, which can realize the unity between saddle values and focal values in real systems, and the constructive theorem of values of singular points and the extended symmetric principle can be obtained.
Abstract: Consider the complex autonomous differential system (E). The main results of this paper are as follows: (i) The concept of values of singular point has been defined. It can realize the unity between the saddle values and the focal values in real systems, (ii) By defining the concept of the Lie-invariant, the constructive theorem of values of singular point and the extended symmetric principle can be obtained. (iii) All the 120 elementary Lie-invariants of (E3) have been computed. The constructive theorem being used, formulas of values of singular point and the integrability conditions of (E2) and (E(3)3) have been derived.
127 citations
TL;DR: A graded Lie algebra L of the Cartan type is an extension of its zero-grade term L 0 in W (n) as discussed by the authors, and if U is an admissible module of L and V a module of 0, there exists an L-module structure on U V.
Abstract: A graded Lie algebra L of the Cartan type is an extension of its zero-grade term L 0 in W ( n ). If U is an admissible module of L and V a module of L 0, there exists an L-module structure on U V .
91 citations