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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Extremal solutions for a class of nonlinear differential equations


Author: Kurt Kreith
Journal: Proc. Amer. Math. Soc. 79 (1980), 415-421
MSC: Primary 34C11
MathSciNet review: 567983
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Abstract: Positive solutions of $ {y^{(n)}} \pm f(t,y) = 0$ are characterized as maximal or minimal depending on whether their asymptotic behavior is $ O({t^{n - 1}})$ or $ O(1)$, respectively. Necessary and sufficient conditions for the existence of such extremal solutions are established.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0567983-8
PII: S 0002-9939(1980)0567983-8
Keywords: Maximal solutions, minimal solutions, iteration, asymptotic behavior, critical solutions
Article copyright: © Copyright 1980 American Mathematical Society