11 Result(s)
within
Mathematics
** Dong-ming
-
Article
Eigenvalue problem for integro-differential equation of supersonic panel, flutter
The dynamic stability of a thin plate in supersonic flow based on 2-dimensional linear theory leads to the study of a new problem in mathematical physics: complex eigenvalue problem for a non-self-adjoint four...
-
Article
New method of solving Lame-Helmholtz equation and ellipsoidal wave functions
Despite the great significance of equations with doubly-periodic coefficients in the methods of mathematical physics, the problem of solving Lamé-Helmholtz equation still remains to be tackled. Arscott and Mög...
-
Article
New theory for equations of non-fuchsian type —Representation theorem of tree series solution (II)
Our main result consists in proving the representation theorem. Irregular integral is a new type of analytic function, represented by a compound Taylor-Fourier tree series, in which each coefficient of the Fou...
-
Article
The spectral problem of Poiseuille flow
For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be dis...
-
Article
New development in Poincaré's problem of irregular integrals
In connection with non-Fuchsian equations Poincaré has made an important conclusion: It is impossible to obtain explicit expressions of irregular integrals
-
Article
New solutions of Novozhilov's equation of toroidal shells
New solutions are obtained for Novozhilov's equation of toroidal shells having general slenderness ratio 0<a<1 (a=a/R). In contrast to the results by continued fraction technique, the exponents and expansion coef...
-
Article
Estimation of Attraction Domain and Exponential Convergence Rate of Continuous Feedback Associative Memory
The attraction domain of memory patterns and exponential convergence rate of the network trajectories to memory patterns for continuous feedback associative memory are estimated again by using of some analysis...
-
Article
Estimation of attraction domain and exponential convergence rate of continuous feedback associative memory
The attraction domain of memory patterns and exponential convergence rate of the network trajectories to memory patterns for continuous feedback associative memory are estimated again by using of some analysis...
-
Article
Global asymptotic stability conditions of delayed neural networks
Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neura...
-
Article
A mechanism for excitation of coherent structures in wall region of a turbulent boundary layer
The problem of how the coherent structures in the wall region of a turbulent boundary layer could be excited by the disturbances from the outer region was investigated by using direct numerical simulation (DNS...
-
Article
A class of finite-dimensional representations of U q (sl2)
In order to study a class of finite-dimensional representations of U q (sl 2), we deal with the quotient algebra U ...
