Solutions of n-point boundary value problems associated with nonlinear summary difference equations |
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Institution: | Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260 |
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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. |
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