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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Staněk, 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

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  1. I. Bihary, Zeros of the Böcher - function and its derivative with respect to differential equation y " + p ( x ) y = 0 II, (to appear). 
  2. O. Borůvka, Linear Differential Transformations of the Second Order, The English Univ. Press, (1971) London. (1971) MR0463539
  3. 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
  4. A. Erdélyi, al, Higher transcendental functions, vol. 2, Mc Graw-Hill, New York, 1954. (1954) 
  5. M. Háčik, Generalization of amplitude, phase and accompanying differential equations, Acta Univ. Palackianae Olomucensis, FRN, 33, (1971), 7-17. (1971) MR0352583
  6. J. Heading, Consistency invariants and transformations between second order linear differential equations, Preprint. 
  7. 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
  8. M. Muldoon, On the zeros of a function related to Bessel functions, Arch. Math. (Brno), 18, (1982), 22-34. (1982) Zbl0504.33005MR0683343
  9. 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
  10. 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
  11. 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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