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Existence and uniqueness of solutions to first-order three-point boundary value problems

โœ Scribed by Ruyun Ma

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
359 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

we give the existence and uniqueness results of solutions for the three-point boundary value problems u' = f(& 4, Mu(a) + Nzl(b) + &J(C) = a, where f : [a,~] x Rn + Rn satisfies Caratheodory's conditions, and M, N, and R are constant square matrices of order n and a E R n. The existence of a solutions is proven by the Leray-Schauder continuation theorem.

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