Sufficient conditions for nonoscillation of a second order nonlinear differential equation
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- by John R. Graef and Paul W. Spikes
- Proc. Amer. Math. Soc. 50 (1975), 289-292
- DOI: https://doi.org/10.1090/S0002-9939-1975-0369808-0
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Abstract:
Using a generalization of a variational theorem due to Leighton, the authors obtain sufficient conditions for the second order nonlinear differential equation $(a(t)x’)’ + q(t)f(x) = r(t)$ to be nonoscillatory. Examples showing the necessity of certain hypotheses are also given.References
- Vadim Komkov, A generalization of Leighton’s variational theorem, Applicable Anal. 2 (1972/73), 377–383. MR 414994, DOI 10.1080/00036817208839051
- Walter Leighton, Comparison theorems for linear differential equations of second order, Proc. Amer. Math. Soc. 13 (1962), 603–610. MR 140759, DOI 10.1090/S0002-9939-1962-0140759-0
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 289-292
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0369808-0
- MathSciNet review: 0369808