Extremal solutions for a class of nonlinear differential equations
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- by Kurt Kreith PDF
- Proc. Amer. Math. Soc. 79 (1980), 415-421 Request permission
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.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 415-421
- MSC: Primary 34C11
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567983-8
- MathSciNet review: 567983