共查询到20条相似文献,搜索用时 470 毫秒
1.
2.
3.
4.
5.
Masoud Hajarian 《Computers & Mathematics with Applications》2018,75(11):4151-4178
Analysis and design of linear periodic control systems are closely related to the periodic matrix equations. The conjugate direction (CD) method is a famous iterative algorithm to find the solution to nonsymmetric linear systems . In this work, a new method based on the CD method is proposed for computing the symmetric periodic solutions and of general coupled periodic matrix equations for . The key idea of the scheme is to extend the CD method by means of Kronecker product and vectorization operator. In order to assess the convergence properties of the method, some theoretical results are given. Finally two numerical examples are included to illustrate the efficiency and effectiveness of the method. 相似文献
6.
In this paper, we consider the blow-up of solutions to a class of quasilinear reaction–diffusion problems where is a bounded convex domain in , weighted nonlocal source satisfies and and are positive constants. By utilizing a differential inequality technique and maximum principles, we establish conditions to guarantee that the solution remains global or blows up in a finite time. Moreover, an upper and a lower bound for blow-up time are derived. Furthermore, two examples are given to illustrate the applications of obtained results. 相似文献
7.
8.
9.
10.
11.
12.
This paper aims at providing an alternative approach to study global dynamic properties for a two-species chemotaxis model, with the main novelty being that both populations mutually compete with the other on account of the Lotka–Volterra dynamics. More precisely, we consider the following Neumann initial–boundary value problem in a bounded domain , with smooth boundary, where are positive constants.When and , it is shown that under some explicit largeness assumptions on the logistic growth coefficients and , the corresponding Neumann initial–boundary value problem possesses a unique global bounded solution which moreover approaches a unique positive homogeneous steady state of above system in the large time limit. The respective decay rate of this convergence is shown to be exponential.When and , if is suitable large, for all sufficiently regular nonnegative initial data and with and , the globally bounded solution of above system will stabilize toward as in algebraic. 相似文献
13.
14.
Ke Wu 《Computers & Mathematics with Applications》2018,75(3):755-763
We consider the existence of ground state solutions for the Kirchhoff type problem where , and . Here we are interested in the case that since the existence of ground state for is easily obtained by a standard variational argument. Our method is based on a Pohoaev type identity. 相似文献
15.
A mathematical analysis of the constraints on the thermodynamic parameters of the compound energy formalism for an type order–disorder transformation is studied. Both the ordered phase and the disordered phase can be described using the two-sublattice model after the formula , with for the disordered phase and for the ordered phase. The constraints between the parameters for the ordered state were derived. The thermodynamic characteristics of the transformation are illustrated using a mathematical method and the validity of the model and the constraints is tested. 相似文献
16.
17.
18.
19.