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Positive solutions of nonlinear singular boundary value problem in abstract space

✍ Scribed by Yansheng Liu; Aiqin Qi

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
318 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis

By constructing a particular closed convex set and applying the M6nch fixed-point theorem, we study the existence of apesitive solutions of singular boundary value problem ="(t) + f(t, ~(t)) = o, t e (o, 1), ~(o) = x(L) = o, in Banach space, singularities occuring at t = 0, 1, and x = 8. Our method is completely distinct from what the former literatures used even if we discuss the above problem in scalar space. (~) 2004 Elsevier Ltd. All rights reserved.

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