Stability of a scaler differential equation
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- by R. Grimmer PDF
- Proc. Amer. Math. Soc. 32 (1972), 452-456 Request permission
Abstract:
Sufficient conditions are given for the stability and asymptotic stability of the zero solution of a scalar differential equation frequently encountered in the comparison method.References
- Fred Brauer, Some refinements of Lyapunov’s second method, Canadian J. Math. 17 (1965), 811–819. MR 179422, DOI 10.4153/CJM-1965-079-2
- T. G. Hallam and J. W. Heidel, Structure of the solution set of some first order differential equations of comparison type, Trans. Amer. Math. Soc. 160 (1971), 501–512. MR 281995, DOI 10.1090/S0002-9947-1971-0281995-2 V. Lakshmikantham and S. Leela, Differential and integral inequalities: Theory and applications. Vol. 1 : Ordinary differential equations, Math. in Science and Engineering, vol. 55, Academic Press, New York, 1969.
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 452-456
- MSC: Primary 34.51
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288369-5
- MathSciNet review: 0288369