Construction of second order linear differential equations with solutions of prescribed properties

František Neuman

Archivum Mathematicum (1965)

  • Volume: 001, Issue: 4, page 229-246
  • ISSN: 0044-8753

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Neuman, František. "Construction of second order linear differential equations with solutions of prescribed properties." Archivum Mathematicum 001.4 (1965): 229-246. <http://eudml.org/doc/15788>.

@article{Neuman1965,
author = {Neuman, František},
journal = {Archivum Mathematicum},
keywords = {ordinary differential equations},
language = {eng},
number = {4},
pages = {229-246},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Construction of second order linear differential equations with solutions of prescribed properties},
url = {http://eudml.org/doc/15788},
volume = {001},
year = {1965},
}

TY - JOUR
AU - Neuman, František
TI - Construction of second order linear differential equations with solutions of prescribed properties
JO - Archivum Mathematicum
PY - 1965
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 001
IS - 4
SP - 229
EP - 246
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/15788
ER -

References

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  1. Barvínek E., O rozložení nulových bodů řešení lineární diferenciální rovnice y ' ' = Q ( t ) a jejich derivací, Acta F.R.N. Univ. Comen. V. 8-10 Mat. (1961), p. 465-474. (1961) MR0131615
  2. Borůvka O., O кoлeблющиxcя интeгpaлax диффepeнциaльныx линeйных ypaвнeний 2-oгo пopядкa, Czech. Math. J., 3 (78), (1953), 199-251. (1953) 
  3. Borůvka O., Sur la transformation des intégrales des équations différentelles linéaires ordinaires du second ordre, Annali di Mat. pura ed appl., S. IV., T. XLI (1956), p. 325-342. (1956) MR0095311
  4. Borůvka O., Sur les transformation différentelles linéaires complètes du second ordre, Annali di Mat. pura ed appl., S. IV., T. XLIX (1960), p. 229-261. (1960) MR0114962
  5. Borůvka O., Sur ľensemble des équations différentialles linéaires du deuxième ordre qui ont la même dispersion fondamentale, Bulletin of the Polyt. Inst. Jassy IX (XIII), (1963), fasc. 3-4, p. 11-20. (1963) MR0179407
  6. Chrastina J., O splynutí centrálních dispersí 3. a 4. druhu diferenciální rovnice y ' ' + Q ( x ) y = 0 , Čas. pro pěst. mat., 87 (1962), p. 188-197. (1962) MR0142826
  7. Chrastina J., K teorii dispersí rovnice ÿ ( t ) + Q ( t ) y ( t ) = 0 , Publ. Fac. Sci. Univ. J. E. Purkyně, Brno 1964, No 454, (1964), p. 265-273. (1964) MR0192112
  8. Kuczma M., On the functional equation Φ ( x ) + Φ [ f ( x ) ] = F ( x ) , Annales Polonici matematici, VI, p. 281-287. MR0107103
  9. Laitoch M., Coвнaдeниe цeнтpaльныx диcпepcий 1-oгo и 2-oгo poдa cooтвeтcтвyющиx диффepeнциaльнoмy ypaвнeнию втopoгo пopндкa y" = Q(t) y, Czech. Math. J., T. 6 (81), (1956), p. 365-380. (1956) MR0094504
  10. Neuman F., Suг les équations difféгentielles linéaires du second oгdre dont les solutions ont des racines formant une suite convex, Acta Math. Hung. T. XIII, (1962), p. 281-287. (1962) MR0148999
  11. Neuman F., Sur les équations difféгentielles linéaiгes oscillatoires du deuxième ordгe avec la dispersion fondamentale ϕ ( t ) = t + π , Bulletin of the Polyt. Inst. of Jassy, X(XIV), (1964), fasc. 1-2, p. 37-42. (1964) MR0197825
  12. Šeda V., O niektorých vlastnostiach riešení difeгenciálnej rovnice y " = Q ( z ) y , Q ( z ) 0 je celá funkcia, Acta Fac. R. N. Univ. Comen. T. IV. Math. (1959), p. 223-253. (1959) 

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