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The nonexistence of spurious solutions to discrete, two-point boundary value problems

โœ Scribed by H.B. Thompson; C.C. Tisdell

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
304 KB
Volume
16
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We investigate difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations. We formulate conditions under which all solutions to the discrete problem satisfy certain a priori bounds which axe independent of the step-size. As a result, the nonexistence of spurious solutions are guaranteed. Some existence and convergence theorems for solutions to the discrete problem axe also presented.

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