The uniqueness of solutions to discrete, vector, two-point boundary value problems |
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Authors: | C. C. Tisdell |
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Affiliation: | Department of Mathematics The University of Queensland, Brisbane, Queensland 4072, Australia |
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Abstract: | Difference equations which may arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations are investigated and conditions are formulated under which solutions to the discrete problem are unique. Some existence, uniqueness implies existence, and convergence theorems for solutions to the discrete problem are also presented. |
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Keywords: | Uniqueness of solutions Vector equations Discrete boundary value problems Second-order systems of ordinary differential equations |
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