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Published December 1967 | Version Published
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Existence, Uniqueness, and Spectral Properties of Nonlinear Eigenvalue Problems

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Abstract

We consider the following nonlinear eigenvalue problem: (1) (p(x)u')' + λf(x, u) = 0, 0 ≤ x ≤ 1, (2) a₀u(0) – a₁u'(0) =0, |a₀| + |a₁| ≠ 0, (3) b₀u(1) + b₁u'(1) =0, |b₀| + |b₁| ≠ 0.

Additional Information

© 1967 American Mathematical Society. Received by the editors October 7, 1966. This work was supported by the National Science Foundation under Grant No. GP-4597 at the California Institute of Technology.

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100696
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CaltechAUTHORS:20200113-151457697

Related works

Describes
https://www.jstor.org/stable/2035781 (URL)

Funding

NSF
GP-4597

Dates

Created
2020-01-13
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Updated
2021-11-16
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