# Asymptotic behaviour of solutions of a linear differential equation

Archivum Mathematicum (1986)

- Volume: 022, Issue: 4, page 193-202
- ISSN: 0044-8753

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topRovder, Jozef. "Asymptotic behaviour of solutions of a linear differential equation." Archivum Mathematicum 022.4 (1986): 193-202. <http://eudml.org/doc/18196>.

@article{Rovder1986,

author = {Rovder, Jozef},

journal = {Archivum Mathematicum},

keywords = {asymptotic formula; nth order differential equation},

language = {eng},

number = {4},

pages = {193-202},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Asymptotic behaviour of solutions of a linear differential equation},

url = {http://eudml.org/doc/18196},

volume = {022},

year = {1986},

}

TY - JOUR

AU - Rovder, Jozef

TI - Asymptotic behaviour of solutions of a linear differential equation

JO - Archivum Mathematicum

PY - 1986

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 022

IS - 4

SP - 193

EP - 202

LA - eng

KW - asymptotic formula; nth order differential equation

UR - http://eudml.org/doc/18196

ER -

## References

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- J. Mamrilla, On the oscillation of solutions of ${y}^{\left(2n\right)}+B{y}^{\text{'}}+Ay=0$, B < 0, Acta Univ. Comen.-Mathematica XL-XLI, 1982, 169-181 (Russian). (1982) Zbl0506.34029
- G. W. Pfeifer, Asymptotic solutions of the equation y" -f pyf -f ry = 0, J. Diff. Eq., 11 (1972), 145-155. (1972)
- J. Rovder, Asymptotic behaviour of solutions of the differential equation of the fourth order, Math. Slovaca 30 1980, 379-392. (1980) Zbl0482.34050MR0595299
- J. Šimša, Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence, Siam J. Math. Anal. 15 (1984), 116-123. (1984) MR0728686
- J. Šimša, The condition of ordinary integral convergence in the asymptotic theory of linear differential equations with almost constant coefficients, Siam Math. J. Anal., 16 (1985), 757-769. (1985) MR0793920
- A. Wintner, On the normalization of characteristic differentials in continuous spectra, Phys. Rev., 72 (1947), 516-517. (1947) Zbl0029.29303MR0022004
- Yu, Qian Biao, Oscillatory and asymptotic behaviour of the solutions of higher-order linear differential equations, Acta Math. Appl. Sinica 5 (1982), 36-44. (1982) MR0762669

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