| Title:
|
On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$ (English) |
| Title:
|
Zobecněná Floquetova teorie diskonjugovaných diferenciálních rovnic $y'' = q(t) y$ (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika |
| ISSN:
|
0231-6048 |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
101-115 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34C25 |
| MSC:
|
34C28 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0491.34038 |
| idMR:
|
MR0645893 |
| . |
| Date available:
|
2009-01-29T15:21:34Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120099 |
| . |
| Reference:
|
[1] Borůvka O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London 1971. MR 0463539 |
| Reference:
|
[2] Borůvka O.: On central dispersions of the differential equations y" = q(t)y with periodic coefficients.Lecture Notes in Mаthemаtics, 415, 1974, 47-60. MR 0450691 |
| Reference:
|
[3] Borůvkа O.: Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodiques.Rеnd. Mаt. (2), 8, Ѕ. VI, 1975, 519-532. MR 0379945 |
| Reference:
|
[4] Bоrůvkа O.: Sur quelques compléments á la théorie de Floquet pour les équations différentielles du deuxième ordre.Ann mаt. p. еd аppl. Ѕ. IV, CII, 1975, 71-77. |
| Reference:
|
[5] Боpyвкa O.: Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa.Диффepeнциaльныe ypaвнeния, No 8, T. 12, 1976, 1347-1383. |
| Reference:
|
[6] Krbiľа J.: VІastnosti fáz neoscilatorických rovnic y" = q(t)y defìnovaných pomocou hyperbolických polárných súradnic.Ѕbоrník prасí VŠD а VÚD, 19, 1969, 5-19. |
| Reference:
|
[7] Krbiľа J.: Application von parabolishen Phasen der Differentialgleichung y" = q(t)y.Ѕbогník pгасí VŠD а VÚD, 1973, IV. vеd. kоnf., 1. ѕеkсiа, 67-74. MR 0397087 |
| Reference:
|
[8] Krbiľа J.: Explicit solutions of several Kummer’s nonlinear differential equation.Mаt. Čаѕ., Nо 4, 1974, 343-348. MR 0382767 |
| Reference:
|
[9] Лайтоx M.: Pacшupeнue мemoдa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaлънoй cucmeмы peшeнuй дuффepeнцuaлънoгo ypaвнeнuя вmopoгo nopядкa y" = a(t)y.Чеx. мат. жуpнал т. 5 (80), 1955, 164-173. |
| Reference:
|
[10] Nеumаn F.: Note on bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients.Mаth. Nасh., 39, 1969, 217-222. MR 0247193 |
| Reference:
|
[11] Neumаn F. аnd Ѕtаněk Ѕ.: On the structure of second-order periodic differential equations with given characteristic multipliers.Arсh. Mаth. (Brnо), 3, XIII, 1977, 149-158. MR 0460790 |
| Reference:
|
[12] Ѕtаněk Ѕ.: Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory.Arсһ. Mаth. (Brnо), 2, XIV, 1978, 109-122. MR 0512750 |
| Reference:
|
[13] Ѕtаněk Ѕ.: On the structure of second-order linear differential equations with given characteпstic multipliers in the generalized Floquet theory.Arсh. Mаth. (Brnо), 4, XIV, 1978, 235-242. MR 0512767 |
| Reference:
|
[14] Ѕtаněk Ѕ.: On an application of the generalized Floquet theory to the transformation of the equation y" = q(t)y into its associated equation.Aсtа Univ. Раlасkiаnае Olоmuсеnѕiѕ, 61 (1979), 81-92. MR 0589850 |
| Reference:
|
[15] Ѕtаněk Ѕ.: The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with $\pi$-periodic coefficients.Aсtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 57 (1978), 39-51. MR 0554035 |
| Reference:
|
[16] Ѕtаněk Ѕ.: On the structure of the second-order periodic linear differential equations with the same characteristic multipliers.Aсtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 57(1978), 53-60. MR 0554036 |
| Reference:
|
[17] Ѕtаněk Ѕ.: A note on disconjugate linear differential equations of the second order with periodic coefficients.Асtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 51 (1979), 93 -101. MR 0589851 |
| . |
