Geodesic
Some converse theorems in the asymptotic theory of ordinary differential equations
Czechoslovak Mathematical Journal, Tome 38 (1988) no. 3, pp. 425-433

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MR Zbl
DOI : 10.21136/CMJ.1988.102238
Classification : 34A30, 34A55, 34E05 
Šimša, Jaromír. Some converse theorems in the asymptotic theory of ordinary differential equations. Czechoslovak Mathematical Journal, Tome 38 (1988) no. 3, pp. 425-433. doi: 10.21136/CMJ.1988.102238
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[1] P. Hartman: Ordinary Differential Equations. John Wiley, New York, 1964, | MR | Zbl

[2] J. Šimša: Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence. SIAM J. Math. Anal. 15 (1984), 116-123. | DOI | MR

[3] J. Šimša: The second order differential equation with oscillatory coefficient. Arch. Math. (Brno) 18(1982) 95-100. | MR

[4] J. Šimša: The condition of ordinary integral convergence in the asymptotic theory of linear differential equations with almost constant coefficients. SIAM J. Math. Anal. 16 (1985) 757-769. | DOI | MR

[5] W. F. Trench: Asymptotic integration of linear differential equations subject to mild integral conditions. SIAM J. Math. Anal. 15 (1984) 932-942. | DOI | MR | Zbl

[6] W. F. Trench: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions. submitted for publication. | Zbl

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