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Existence Theorems for Nonlinear Boundary Value Problems

Published online by Cambridge University Press:  20 November 2018

W. L. McCandless
W. L. McCandless*
Affiliation:
Mount Allison University, Sackville, New Brunswick
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Let C(I) denote the linear space of continuous functions from the compact interval I = [a, b] into n-dimensional real arithmetic space Rn, and let C′(I) be the subspace of continuously differentiable functions on I. A general boundary value problem for a first-order system of n ordinary differential equations on I is given by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 4 , August 1974 , pp. 884 - 892
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Conti, R., Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. Un. Mat. Ital. 22 (1967), 135–178.Google Scholar
2. Noble, B., Applied linear algebra (Prentice-Hall, Englewood Cliffs, 1969).Google Scholar
3. Rall, L. B., Computational solution of nonlinear operator equations (Wiley, New York, 1969).Google Scholar