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Fredholm alternative and boundary value problems
Author(s):
Stanis{l}aw
Sedziwy
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1779-1784.
MSC (2000):
Primary 34B15
Posted:
November 4, 2003
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Abstract:
This note presents a simple proof of A. Lasota's application of the nonlinear Fredholm alternative to the existence proofs of the boundary value problems involving ordinary differential equations. It then uses Lasota's result to get a stronger version of the theorem of Herzog and Lemmert on the Dirichlet boundary value problem for the second-order systems of ordinary differential equations.
References:
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Additional Information:
Stanis{l}aw
Sedziwy
Affiliation:
Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30-072 Cracow, Poland
Email:
sedziwy@softlab.ii.uj.edu.pl
DOI:
10.1090/S0002-9939-03-07256-3
PII:
S 0002-9939(03)07256-3
Keywords:
Boundary value problem,
Fredholm alternative,
Homogeneous map
Received by editor(s):
November 5, 2002
Received by editor(s) in revised form:
February 17, 2003
Posted:
November 4, 2003
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2003,
American Mathematical Society
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