Asymptotic behavior of solutions of second order differential equations with integrable coefficients
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- by Manabu Naito PDF
- Trans. Amer. Math. Soc. 282 (1984), 577-588 Request permission
Abstract:
The differential equation $x'' + a(t)f(x) = 0$, $t > 0$, is considered under the condition that ${\lim _{t \to \infty }}{\int ^t}a(s)ds$ exists and is finite, and necessary and/or sufficient conditions are given for this equation to have solutions which behave asymptotically like nontrivial linear functions ${c_1} + {c_2}t$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 282 (1984), 577-588
- MSC: Primary 34D05
- DOI: https://doi.org/10.1090/S0002-9947-1984-0732107-9
- MathSciNet review: 732107