A general result regarding the growth of solutions of first-order differential equations
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- by Steven B. Bank
- Proc. Amer. Math. Soc. 71 (1978), 39-45
- DOI: https://doi.org/10.1090/S0002-9939-1978-0481246-1
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Abstract:
In this paper, we treat first-order algebraic differential equations whose coefficients are arbitrary complex-valued functions on an interval $[{x_0}, + \infty )$, and we obtain an estimate on the growth of all real-valued solutions on $[{x_0}, + \infty )$. Our result includes, as a very special case, the well-known result of Lindelöf for polynomial coefficients.References
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Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 39-45
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0481246-1
- MathSciNet review: 0481246