On a structure of second order linear differential equations with periodic coefficients having the same discriminant

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1983)

  • Volume: 22, Issue: 1, page 91-98
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On a structure of second order linear differential equations with periodic coefficients having the same discriminant." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 22.1 (1983): 91-98. <http://eudml.org/doc/23418>.

@article{Staněk1983,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {second order differential equation; discriminant},
language = {eng},
number = {1},
pages = {91-98},
publisher = {Palacký University Olomouc},
title = {On a structure of second order linear differential equations with periodic coefficients having the same discriminant},
url = {http://eudml.org/doc/23418},
volume = {22},
year = {1983},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On a structure of second order linear differential equations with periodic coefficients having the same discriminant
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1983
PB - Palacký University Olomouc
VL - 22
IS - 1
SP - 91
EP - 98
LA - eng
KW - second order differential equation; discriminant
UR - http://eudml.org/doc/23418
ER -

References

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  1. Arѕсott F. M., Periodic Differential Equations, Pеrgamon Prеѕѕ, Oxford, 1964. (1964) 
  2. Borůvka O., Linear Differential Transformations of the Second Order, Thе Engliѕh Univеrѕitiеѕ Prеѕѕ, London, 1971. (1971) MR0463539
  3. Бopувкa O., Teopuя глoбaлъныx cвoйcmв oвыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa, Диффеpенциaльные уpaвнения, No 8, т. XII, 1976, 1346-1383. (1976) 
  4. Grеguѕ M., Nеuman F., Arѕсott F. M., Three-point boundary problems in differential equations, J. London Math. Soс. (2), 3, 1971, 429-436. (1971) MR0283282
  5. Hartman P., Ordinary Differential Equations, (In Ruѕѕian) Moѕсow, 1970. (1970) Zbl0214.09101
  6. Якубoвич B. A., Стapжинский B. A., Лuнeйныe дuффepeнцuaлъныe ypaвнeнuя c nepuoдuчecкuм кoзффuцueнmaмu u ux npuлoжeнuя, Издaтельствo „Haукa", Moсквa 1970. (1970) 
  7. Krbiľa J., Vlastnosti fáz neoscilatorických rovnic y" = q(t)y definovaných pomocou hyperbolických polárnych súradnic, Sborník praсí VŠD a VŰD, 19, 1969, 5-11. (1969) 
  8. Krbiľa J., Application von parabolischen Phasen der Differentialgleichung y" = q(t)y, Sborník prасí VŠD а VÚD, IV vеd. konf., 1. ѕеkсiа, 1973, 67-74. (1973) MR0397087
  9. Krbiľа J., Explicit solution of several Kummer’s nonlinear differential equations, Mаt. Čаѕ., 24 No. 4, 1974, 343-348. (1974) MR0382767
  10. Mаgnuѕ M., Winklеr S., Hill’s Equation, Intеrѕсiеnсе Publiѕhеrѕ, Nеw York, 1966. (1966) 
  11. Mаrkuѕ L., Moorе R. A., Oscillation and disconjugacy for linear differential equations with almost periodic coefficients, Aсtа Mаth., 96, 1956, 99-123. (1956) MR0080813
  12. Nеumаn F., Stаněk S., On the structure of second-order periodic differential equations with given characteristic multipliers, Arch. Mаth. (Brno), 3, XIII, 1977, 149-158. (1977) MR0460790
  13. Stаněk S., Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory, Arсh. Mаth. (Brno) 2, XIV, 1978, 109-122. (1978) MR0512750
  14. Stаněk S., A note on disconjugate linear differential equations of the second order with periodic coefficients, Aсtа Univ. Pаlасkiаnае Olomuсеnѕiѕ F. R. N., 61, 1979, 83-101. (1979) 

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