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|Title:||Solutions of n-point boundary value problems associated with nonlinear summary difference equations|
|Authors:||Sheng, Q. |
|Keywords:||n-Point boundary conditions|
Nonlinear summary difference equations
Nonlinear variation of parameter methods
|Source:||Sheng, Q.,Agarwal, R.P. (1997). Solutions of n-point boundary value problems associated with nonlinear summary difference equations. Journal of Computational and Applied Mathematics 80 (1) : 49-70. ScholarBank@NUS Repository.|
|Abstract:||Variation of parameter methods play a fundamental rôle 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. © 1997 Elsevier Science B.V. All rights reserved.|
|Source Title:||Journal of Computational and Applied Mathematics|
|Appears in Collections:||Staff Publications|
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