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Existence Theory for Single and Multiple Solutions to Singular Positone Boundary Value Problems

✍ Scribed by Ravi P. Agarwal; Donal O'Regan

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
143 KB
Volume
175
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES

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## Abstract We consider the non‐local singular boundary value problem where __q__ ∈ __C__^0^([0,1]) and __f__, __h__ ∈ __C__^0^((0,∞)), lim__f__(__x__)=βˆ’βˆž, lim__h__(__x__)=∞. We present conditions guaranteeing the existence of a solution __x__ ∈ __C__^1^([0,1]) ∩ __C__^2^((0,1]) which is positive

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Approximate solutions, similar to the type used in the Complex Variable Boundary Element Method, are shown to exist for two dimensional mixed boundary value potential problems on multiply connected domains. These approximate solutions can be used numerically to obtain least squares solutions or solu