# Transformations of linear second order ordinary differential equations

Staněk, Svatoslav; Jaromír Vosmanský

Archivum Mathematicum (1986)

- Volume: 022, Issue: 1, page 55-59
- ISSN: 0044-8753

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topStaněk, Svatoslav, and Vosmanský, Jaromír. "Transformations of linear second order ordinary differential equations." Archivum Mathematicum 022.1 (1986): 55-59. <http://eudml.org/doc/18179>.

@article{Staněk1986,

author = {Staněk, Svatoslav, Vosmanský, Jaromír},

journal = {Archivum Mathematicum},

keywords = {linear second order ordinary differential},

language = {eng},

number = {1},

pages = {55-59},

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

title = {Transformations of linear second order ordinary differential equations},

url = {http://eudml.org/doc/18179},

volume = {022},

year = {1986},

}

TY - JOUR

AU - Staněk, Svatoslav

AU - Vosmanský, Jaromír

TI - Transformations of linear second order ordinary differential equations

JO - Archivum Mathematicum

PY - 1986

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

VL - 022

IS - 1

SP - 55

EP - 59

LA - eng

KW - linear second order ordinary differential

UR - http://eudml.org/doc/18179

ER -

## References

top- I. Bihary, Zeros of the Böcher - function and its derivative with respect to differential equation $y"+p\left(x\right)y=0$ II, (to appear).
- O. Borůvka, Linear Differential Transformations of the Second Order, The English Univ. Press, (1971) London. (1971) MR0463539
- Z. Došlá, Monotonicity properties of the linear combination of derivatives of some special functions, (to appear). Arch. Math. (Brno), 21, (1985), 147 - 157. (1985) MR0833125
- A. Erdélyi, al, Higher transcendental functions, vol. 2, Mc Graw-Hill, New York, 1954. (1954)
- M. Háčik, Generalization of amplitude, phase and accompanying differential equations, Acta Univ. Palackianae Olomucensis, FRN, 33, (1971), 7-17. (1971) MR0352583
- J. Heading, Consistency invariants and transformations between second order linear differential equations, Preprint.
- M. Laitoch, L'équation associée dans la théorie des transformations des équations différentielles du second ordre, Acta Univ. Palackianae Olomucensis, 12, 0963), 45 - 62. Zbl0256.34005MR0276527
- M. Muldoon, On the zeros of a function related to Bessel functions, Arch. Math. (Brno), 18, (1982), 22-34. (1982) Zbl0504.33005MR0683343
- S. Staněk, On a certain transformation of the solution of two second order differential equations, Acta Univ. Palackianae Olomucensis, FRN, 76, math. XXII, (1983), 81-90. (1983) MR0744702
- J. Vosmanský, The monotonicity of extremants of integrals of the differential equation y'' + q(t)y = 0, Arch. Math. (Brno), 2, (1966), 105-111. (1966) Zbl0219.34035MR0216072
- J. Vosmanský, Certain higher monotonicity properties of i-th derivatives of solutions of y'' + a(t) y' + b(t) y = 0, Arch. Math. (Brno), X, (1974), 87-102. (1974) MR0399578

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