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Existence of Solutions of Nonlinear m-Point Boundary-Value Problems

✍ Scribed by Ruyun Ma; Nelson Castaneda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 t∈ 0 1

i=1 a i < 1, and m-2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.

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