variational problem
1.A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved.
2.The variational problem for convective mass transfer is derived from the differential equation and its initial and boundary conditions by means of the weighted residual method. Then its generalized form is established based on the Lagrange multiplier method by absorbing the first kind of boundary condition.
4.A New Use of Variational Equation to Attack the Problem of Spatial Elastic Stability of Thin-wall Bar
5.Abstract: In this paper,the proving of the generalized variational function，of elastic and plastic contact problem is simplified by use of the vector analysis method.
6.Abstract: In this paper, the generalized variational principle of ela stic and plastic problem with finite displacement is derived by means of semi-in verse method.
7.By using variational methods,the existence of positive solution is obtained for a class of asymptotically linear Neumann problem.
8.They studied the existence of solutions of the kind boundary value problem(BVP) by means of lower and supper solutions and variational method.
9.A novel inverse iteration method, variational Born iteration method (VBIM), for the inversion and reconstruction of two-dimensional axisymmetic inhomogeneous media is described in this paper. The nonlinear problem is linearized at each step by using Born approximation. Meanwhile, the inverse integration equation is derived.
10.In this paper, the Galerkin approach is used to solve the hyper singular integral equation associated with the double layer solution of the Neumann problem of Laplace equation, the variational formulation with hyper singular integral kernel is changed into a weak one with boundary rotation.
