Necessary and sufficient conditions for the non-self-adjointness of the differential equation y ' ' = q y

Jaroslav Krbiľa

Archivum Mathematicum (1982)

  • Volume: 018, Issue: 4, page 221-230
  • ISSN: 0044-8753

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Krbiľa, Jaroslav. "Необходимые и достаточные условия несопряженности дифференциального уравнения $y^{\prime \prime }=qy$." Archivum Mathematicum 018.4 (1982): 221-230. <http://eudml.org/doc/18099>.

@article{Krbiľa1982,
author = {Krbiľa, Jaroslav},
journal = {Archivum Mathematicum},
keywords = {self adjointness},
language = {rus},
number = {4},
pages = {221-230},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Необходимые и достаточные условия несопряженности дифференциального уравнения $y^\{\prime \prime \}=qy$},
url = {http://eudml.org/doc/18099},
volume = {018},
year = {1982},
}

TY - JOUR
AU - Krbiľa, Jaroslav
TI - Необходимые и достаточные условия несопряженности дифференциального уравнения $y^{\prime \prime }=qy$
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 4
SP - 221
EP - 230
LA - rus
KW - self adjointness
UR - http://eudml.org/doc/18099
ER -

References

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  1. Бopyвкa O., Teopuя глoбaлъныx cвoücmв oбыкнoвeнныx лuнeйныx дuффepeнцuaльныx ypaвнeний вmopoгo nopядкa, Дифф. ypaвнeния, Toм. XII, 1976, 1348-1383. (1976) 
  2. Borůvka O., Linear Differential Transformations of the Second Order, The English Universities Press, London, 1971. (1971) Zbl0222.34002MR0463539
  3. Wintner A., On the nonexistence of conjugate points, Amer. J. Math. 73, 1961, 368-380. (1961) Zbl0043.08703MR0042005
  4. Krbiľa J., Diferenciálne rovnice druhého rádu a kvadratické funkcionály, Habilitačná práca. Žilina, 1974. (1974) 
  5. Leighton W., Morse M., Singular quadratic functionals, Trans. Ameг. Math. Soc. 40, 1936, 252-286. (1936) Zbl0015.02701MR1501873
  6. Krbiľa J., Pure disconjugate homogeneous linear differential equations of the second order, Zborník ved. prác DF VŠLD Zvolen, 1972, 241-248. (1972) Zbl0412.34019

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