A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika (1978)
- Volume: 17, Issue: 1, page 27-33
- ISSN: 0231-9721
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topLaitoch, Miroslav. "A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order." Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika 17.1 (1978): 27-33. <http://eudml.org/doc/23343>.
@article{Laitoch1978,
author = {Laitoch, Miroslav},
journal = {Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika},
keywords = {linear nonhomogeneous differential equation of the 2nd order; Sturm's separation theorem; conjugate numbers; n-th central dispersions},
language = {eng},
number = {1},
pages = {27-33},
publisher = {Palacký University Olomouc},
title = {A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order},
url = {http://eudml.org/doc/23343},
volume = {17},
year = {1978},
}
TY - JOUR
AU - Laitoch, Miroslav
TI - A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
JO - Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
PY - 1978
PB - Palacký University Olomouc
VL - 17
IS - 1
SP - 27
EP - 33
LA - eng
KW - linear nonhomogeneous differential equation of the 2nd order; Sturm's separation theorem; conjugate numbers; n-th central dispersions
UR - http://eudml.org/doc/23343
ER -
References
top- Borůvka O., Lineare Differentialgleichungen 2. Ordnung, VEB, DVW, Berlin 1967, 218 pages. (1967) MR0236448
- Skidmore A., Leighton W., On the Differential Equation y" + p(x). y =f(x), J. of Math. Anal. and Appl. 43, 46-55 (1973). (1973) MR0315213
- Stěpanov V. V., Kurs diferenciálních rovnic, Přírodov. nakl., Praha 1952, 512 pages (translation from Russian). (1952)
Citations in EuDML Documents
top- Staněk, Svatoslav, Two-point boundary problem in a second order nonhomogeneous linear differential equation
- Elena Pavlíková, A remark on the differential equation
- Miloslav Fialka, On the position of nodes of associated equations to the differential equation
- Miloslav Fialka, On the bundle of solutions of a nonhomogeneous second order linear differential equation
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