Quickly oscillating solutions of autonomous ordinary differential equations
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- by Stephen R. Bernfeld and A. Lasota PDF
- Proc. Amer. Math. Soc. 30 (1971), 519-526 Request permission
Abstract:
We are concerned here with the asymptotic behavior of quickly oscillating solutions of systems of differential equations. It is shown that the limit of the norm of any quickly oscillating solution exists and is either equal to infinity or zero. We then determine asymptotic bounds on the solutions by imposing certain growth conditions on the right-hand side of the equation. Our results, when applied to second order equations, yield asymptotic behavior of both the solutions and its derivatives.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 519-526
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285764-4
- MathSciNet review: 0285764