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Existence for the modified Kassoy problem

Published online by Cambridge University Press:  14 November 2011

J. Bebernes  and
W. Troy
J. Bebernes
Affiliation:
Department of Mathematics, University of Colorado, Campus Box 426, Boulder, Colorado 80309, U.S.A.
W. Troy
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, U.S.A.
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Synopsis

We prove that there exists an ᾱ > 0 such that for each 0 ≦ α ≦ ᾱ, there is at least one β = β(α) < 0 such that y“ − (x/2)y' + ey − 1 =0, y(0) = α, y'(0) = β has a solution y(x, α,β) satisfying the asymptotic property y(x, α,β)∼ −2 In x + Kα as x → ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 1-2 , 1987 , pp. 131 - 136
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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