In this paper, the existence of the exponential attractors for the Ginzburg- Landau-BBM equations with periodic initial and boundary conditions are obtained by using the squeezing property and the operator dccompositi...In this paper, the existence of the exponential attractors for the Ginzburg- Landau-BBM equations with periodic initial and boundary conditions are obtained by using the squeezing property and the operator dccomposition method.展开更多
Using direct algebraic method,exact solitary wave solutions are performed for a class of third order nonlinear dispersive disipative partial differential equations. These solutions are obtained under certain condition...Using direct algebraic method,exact solitary wave solutions are performed for a class of third order nonlinear dispersive disipative partial differential equations. These solutions are obtained under certain conditions for the relationship between the coefficients of the equation. The exact solitary waves of this class are rational functions of real exponentials of kink-type solutions.展开更多
In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the ...In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,’’’ nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming.展开更多
By the sketch of structure of MVWG,the working laws of this kind of gyroscope we re explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic workin...By the sketch of structure of MVWG,the working laws of this kind of gyroscope we re explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic working laws of MVWG the model was simplified.Under the conditions of the three axial direction rotations and general rotation,the mathematical model was resolved.And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed.展开更多
基金Supported by National Natural Science Foundation of China (19801004)
文摘In this paper, the existence of the exponential attractors for the Ginzburg- Landau-BBM equations with periodic initial and boundary conditions are obtained by using the squeezing property and the operator dccomposition method.
文摘Using direct algebraic method,exact solitary wave solutions are performed for a class of third order nonlinear dispersive disipative partial differential equations. These solutions are obtained under certain conditions for the relationship between the coefficients of the equation. The exact solitary waves of this class are rational functions of real exponentials of kink-type solutions.
文摘In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,’’’ nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming.
文摘By the sketch of structure of MVWG,the working laws of this kind of gyroscope we re explained.To the aid of Euler′s Dynamics Equation,a mathematical model of the gyroscope was constructed,and then by the basic working laws of MVWG the model was simplified.Under the conditions of the three axial direction rotations and general rotation,the mathematical model was resolved.And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed.
