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Existence of solutions of a nonlinear boundary value problem via the method of lines

โœ Scribed by K. Schmitt; R.C. Thompson; W. Walter


Book ID
107967107
Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
1019 KB
Volume
2
Category
Article
ISSN
0362-546X

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