On the intersection of groups of increasing dispersions in two second order oscillatory differential equations

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1985)

  • Volume: 24, Issue: 1, page 61-66
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On the intersection of groups of increasing dispersions in two second order oscillatory differential equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 24.1 (1985): 61-66. <http://eudml.org/doc/23444>.

@article{Staněk1985,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {second order differential equations; group of dispersions; Kummer equation; increasing dispersions; oscillatory equations},
language = {eng},
number = {1},
pages = {61-66},
publisher = {Palacký University Olomouc},
title = {On the intersection of groups of increasing dispersions in two second order oscillatory differential equations},
url = {http://eudml.org/doc/23444},
volume = {24},
year = {1985},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the intersection of groups of increasing dispersions in two second order oscillatory differential equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1985
PB - Palacký University Olomouc
VL - 24
IS - 1
SP - 61
EP - 66
LA - eng
KW - second order differential equations; group of dispersions; Kummer equation; increasing dispersions; oscillatory equations
UR - http://eudml.org/doc/23444
ER -

References

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  1. Blanton G., Baker J. А., Iteration groups generated by C * functions, Аrch. Math. (Brno) 3, XVIII, 1982, 121-128. (1982) Zbl0518.26002MR0682099
  2. Borůvka O., Linear Differential Transformations of the Second Order, The English Universities Press, London, 1971. (1971) MR0463539
  3. Бopyвкa O., Teopия глoбaльныx cвoйcтв oбыкнoвeнныx лuнeйныx диффepeнциaльныx ypaвнeний втopoгo nopядкa, Диффepeнциaльныe ypaвнeния, Но. 8, т. 12, 1976, 1347-1383. (1976) 
  4. Borůvka O., Sur une classe de groupes continus á un paramètre formes des fonctions réelles d'une variable, Ann. Polon. Math., XLII (1982), 27-37. (1982) 
  5. Borůvka O., Sur les Transformations Simultanées de Deux Équations Différentielies Linéarie du Deuxième Ordre dans Elles-mêmes, Applicable Analysis, 1983, No 1-4, 187-200. (1983) MR0710190
  6. Borůvka O., [unknown], Lectures at the seminar of the Institute of Mathematics of the Czechoslovak Academy of Science in Brno. 
  7. Hartman P., Ordinary Differential Equations, (in Russian), Moscow, 1970. (1970) Zbl0214.09101
  8. Rudin W., Principle of Mathematical Analysis, (in Russian), Moscow, 1966. (1966) 
  9. Staněk S., On some properties of soluecontions of the sd order linear differential equation with periodic coefficients having a common oneparametric continuous group of dispersion, Acta Univ. Palackianae Olomucensis F. R. N., 69, 1981, 93-99. (1981) MR0645892
  10. Staněk S., On a structure of the intersection of the set of dispersions of two second-order linear differential equations, Acta Univ. Palackianae Olomucensis F. R. N., 73, 1982,79 - 85. (1982) Zbl0543.34026MR0702610
  11. Staněk S., On the intersection of groups of dispersions of the equation y" = q(t) y and its accompanying equation, Acta Univ. Palackianae Olomucensis F. R. N., 79, 1984, 33-37. (1984) MR0837027
  12. Staněk S., On the intersection of the set of solutions of two Kummer's differential equations, Acta Univ. Palackianae Olomucensis F. R. N., 79, 1984, 25-32. (1984) Zbl0596.34014MR0837026
  13. Staněk S., Common increasing dispersions of certain linear second order differential equations, Acta Univ. Palackianae Olomucensis F. R. N., 82, 1985, 51-60. (1985) Zbl0615.34041MR0879021

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