Solutions of n-point boundary value problems associated with nonlinear summary difference equations

[摘要] Variation of parameter methods play a fundamental role in understanding solutions of perturbed nonlinear differential as well as difference equations. This paper is devoted to the study of n-point boundary value problems associated with systems of nonlinear first-order summary difference equations by using the nonlinear variation of parameter methods. New variational formulae, which provide connections between the solutions of initial value problems and n-point boundary value problems, are obtained. An iterative scheme for computing approximated solutions of the boundary value problems is also provided.

[发布日期] 1997-04-14

[关键词] n-point boundary conditions;nonlinear summary difference equations;nonlinear variation of parameter methods