On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$
Staněk, Svatoslav
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 20 (1981), p. 101-115 / Harvested from Czech Digital Mathematics Library
Publié le : 1981-01-01
Classification:  34C10,  34C25,  34C28,  34D05
@article{120099,
     author = {Stan\v ek, Svatoslav},
     title = {On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {20},
     year = {1981},
     pages = {101-115},
     zbl = {0491.34038},
     mrnumber = {0645893},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120099}
}
Staněk, Svatoslav. On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 20 (1981) pp. 101-115. http://gdmltest.u-ga.fr/item/120099/

Borůvka O. Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. (1971) | MR 0463539

Borůvka O. On central dispersions of the differential equations y" = q(t)y with periodic coefficients, Lecture Notes in Mаthemаtics, 415, 1974, 47-60. (1974) | MR 0450691

Borůvkа O. Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodiques, Rеnd. Mаt. (2), 8, Ѕ. VI, 1975, 519-532. (1975) | MR 0379945

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. (1975)

Боpyвкa O. Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa, Диффepeнциaльныe ypaвнeния, No 8, T. 12, 1976, 1347-1383. (1976)

Krbiľа J. VІastnosti fáz neoscilatorických rovnic y" = q(t)y defìnovaných pomocou hyperbolických polárných súradnic, Ѕbоrník prасí VŠD а VÚD, 19, 1969, 5-19. (1969)

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. (1973) | MR 0397087

Krbiľа J. Explicit solutions of several Kummer’s nonlinear differential equation, Mаt. Čаѕ., Nо 4, 1974, 343-348. (1974) | MR 0382767

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. (1955)

Nеumаn F. Note on bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients, Mаth. Nасh., 39, 1969, 217-222. (1969) | MR 0247193

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. (1977) | MR 0460790

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. (1978) | MR 0512750

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. (1978) | MR 0512767

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. (1979) | MR 0589850

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. (1978) | MR 0554035

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. (1978) | MR 0554036

Ѕtаněk Ѕ. A note on disconjugate linear differential equations of the second order with periodic coefficients, Асtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 51 (1979), 93 -101. (1979) | MR 0589851