How to solve the equation AuBu + Cu = f

Authors:
Chun-li Li;Ming-gen Cui
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 1
Cited 2

Two-dimensional reproducing kernel and surface interpolation

Journal of Computational Mathematics

The exact solution for solving a class nonlinear operator equations in the reproducing kernel space

Applied Mathematics and Computation
New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.48

Visualization

Abstract

In this paper, we first discuss the problem of how to solve a continuous linear operator equation in separable Hilbert space. We give the necessary and sufficient condition for the existence of solution, and the method to decide the existence for solutions of the equation is also given. If the solution exists, we give the representation and approxima of the minimal normal solution of the equation and formula are obtained. We conduct some research of how to solve the operator equation AuBu + Cu = f. We give the factorization method and characteristic value method to solve such an equation.