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General Lidstone Problems: Multiplicity and Symmetry of Solutions

✍ Scribed by John M Davis; Johnny Henderson; Patricia J.Y Wong

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
151 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis

For the 2mth order Lidstone boundary value problem,

where -1 m f m β†’ 0 ∞ is continuous, growth conditions are imposed on f which yield the existence of at least three symmetric positive solutions. This generalizes earlier papers which have applied Avery's generalization of the Leggett-Williams theorem to Lidstone problems. We then prove the analogous result for difference equations.

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