Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On a ratio theorem for a class of nonlinear boundary value problems

Authors: C. Rogers and A. J. Bracken
Journal: Quart. Appl. Math. 44 (1987), 639-648
MSC: Primary 35Q20; Secondary 35L60
DOI: https://doi.org/10.1090/qam/872816
MathSciNet review: 872816
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Abstract: A generalization of Ussing's flux ratio theorem is established as a consequence of a symmetry property of a Green's function. Bäcklund transformations are then used to construct ratio theorems for certain nonlinear boundary value problems.

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DOI: https://doi.org/10.1090/qam/872816
Article copyright: © Copyright 1987 American Mathematical Society

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