In this paper, we consider a multipoint boundary value problem for one-dimensional p-Laplacian. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the boundar...In this paper, we consider a multipoint boundary value problem for one-dimensional p-Laplacian. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the boundary value problem. In this problem, the nonlinear term explicitly involves a first-order derivative, which is different from some previous ones.展开更多
The connection between spline interplation and MPBVP is dealt with and the research has been carried out with emphasis on the latter in this paper. With the aid of adjoint MPBVP, the sufficient and necessary condition...The connection between spline interplation and MPBVP is dealt with and the research has been carried out with emphasis on the latter in this paper. With the aid of adjoint MPBVP, the sufficient and necessary conditions of the resolvability of the MPBVP have been provided and the solution is expressed by means of Green’s function. In absence of uniqueness of the solution, the minimum norm generalized solution is defined, its existence and uniqueness have been confirmed, and the generalized Green’s function has been constructed. Finally, the applications of the above theory to spline interpolation are given.展开更多
文摘In this paper, we consider a multipoint boundary value problem for one-dimensional p-Laplacian. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the boundary value problem. In this problem, the nonlinear term explicitly involves a first-order derivative, which is different from some previous ones.
文摘The connection between spline interplation and MPBVP is dealt with and the research has been carried out with emphasis on the latter in this paper. With the aid of adjoint MPBVP, the sufficient and necessary conditions of the resolvability of the MPBVP have been provided and the solution is expressed by means of Green’s function. In absence of uniqueness of the solution, the minimum norm generalized solution is defined, its existence and uniqueness have been confirmed, and the generalized Green’s function has been constructed. Finally, the applications of the above theory to spline interpolation are given.
