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Šimša, Jaromír
Some converse theorems in the asymptotic theory of ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 3, pp. 425-433
MSC: 34A30, 34A55, 34E05 | MR 950296 | Zbl 0674.34056 | DOI: 10.21136/CMJ.1988.102238
References:
[1] P. Hartman: Ordinary Differential Equations. John Wiley, New York, 1964, MR 0171038 | Zbl 0125.32102
[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 10.1137/0515007 | MR 0728686
[3] J. Šimša: The second order differential equation with oscillatory coefficient. Arch. Math. (Brno) 18(1982) 95-100. MR 0683351
[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 10.1137/0516057 | MR 0793920
[5] W. F. Trench: Asymptotic integration of linear differential equations subject to mild integral conditions. SIAM J. Math. Anal. 15 (1984) 932-942. DOI 10.1137/0515070 | MR 0755853 | Zbl 0567.34008
[6] W. F. Trench: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions. submitted for publication. Zbl 0623.34059
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