A general result regarding the growth of solutions of first-order differential equations

Bank, Steven B.

doi:10.1090/S0002-9939-1978-0481246-1

A general result regarding the growth of solutions of first-order differential equations

Author: Steven B. Bank
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
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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.

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