| Title:
|
On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$ (English) |
| Author:
|
Bartušek, Miroslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
14 |
| Issue:
|
1 |
| Year:
|
1978 |
| Pages:
|
1-12 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0389.34024 |
| idMR:
|
MR512740 |
| . |
| Date available:
|
2008-06-06T06:04:20Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106986 |
| . |
| Reference:
|
[1] Bartušek M.: On Asymptotic Properties and Distribution of Zeros of Solutions of y" = q(t)y.Acta F.R.N. Univ. Comenianae, Math., XXXII, 1975, 69-86. MR 0539861 |
| Reference:
|
[2] Бapтyшeк M.: O нyляx кoлeблющuxcя peшeнuй ypaвнeнuя $[p(t) x']' + f(t, x, x') = 0$.Дyдap. ypaв. XII, 1976, 621-625. |
| Reference:
|
[3] Bartušek M.: On Zeros of Solutions of the Differential Equation $[p(t)y']' + f(t, y, y') = 0$.Arch. Math. XI, No 4, 1975, 187-192. MR 0409975 |
| Reference:
|
[4] Bartušek M.: On Distribution of Zeros of Solutions of Differential Equations $y'' + f(t, y, y') = 0$.Arch. Math. XIII, No 2, 1977, 69-74. MR 0492523 |
| Reference:
|
[5] Bartušek M.: Monotonicity Theorems Concerning Differential Equations $y" +f(t, y, y') = 0$.Arch. Math. XII, No 4, 1976, 169-178. MR 0430410 |
| Reference:
|
[6] Bihari I.: Oscillation and Monotonity Theorems Concerning Non-linear Differential Equations of the Second Order.Acta Math. Acad. Sci. Hung., IX, No 1-2, 1958, 83-104. MR 0095321 |
| Reference:
|
[7] Burton T., Grimmer R.: On the Asymptotic Behaviour of Solutions of $x" + a(t)f(x) = 0$.Proc. Camb. Phil. Soc., 70, 1971, 77-88. MR 0293193 |
| Reference:
|
[8] Dlotko T.: Sur làllure asymptotique des solutions de l'equation différentielle ordinaire du second ordre.Ann. polon. math., 11, 1961, No 3, 261-273. MR 0133499 |
| Reference:
|
[9] Ендовицкий И. И.: Heкomopыe ycлoвия нeycmoйчuвocmu pemenuй ypaвnenuя $u" + p(x) u = 0$.M3B. BV30B, Maт., 140, Ho 1, 1974, 47-51. |
| Reference:
|
[10] Изюмова Д. B., Kичурадзe H. T.: Heкomopыe зaмечания o pemeuях ypaenenuй $u" + a(t)f(u) = 0$.Дифф. ypaв., IV, Ho 4, 1968, 589-605. |
| Reference:
|
[11] Kaтранов A. T.: O нулях колеблющихся pemenuй ypaвnenuя $x" + a(t)f(x) = 0$.Дифф. ypaв., VII, Ho 5, 1971, 930-933. MR 0287078 |
| Reference:
|
[12] Kaтранов A. T.: Oб acuмnmomичecком noвeдenuu колеблющихся pemenuй ypaвnenuя $\ddot{x} +f(t, x)g(\dot{x}) = 0$.Ah$*. ypas., VIII, Ho 6, 1972, 1111-1115. |
| Reference:
|
[13] Kroopnik A.: Properties of Solutions of Differential Equations of the Form $y" + a(t)b(y) = 0$.Proc. Amer. Math. Soc., 34, No 1, 1972, 319-320. |
| Reference:
|
[14] Lalli B. S.: On Boundedness of Solutions of Certain Second Order Differential Equations.J. Math. Anal. Appl., 25, 1969, 182-188. MR 0239184 |
| Reference:
|
[15] Caнсонe Дж.: Oбыкновенныe дифференциальные ypaвнения II.Moscow 1954. |
| Reference:
|
[16] Utz: Properties of Solutions of $u" + q(t)u^{2n-1} =0$. II.Monatsh. Math., 69, No 4, 1965, 353-361. MR 0193334 |
| Reference:
|
[17] Waltman P.: Some Properties of Solutions of $u" + a(t)f(u) = 0$.Monatsh. Math., 67, 1963, No 1,50-54. MR 0147700 |
| Reference:
|
[18] Wong J. S. W.: Boundedness Theorems for Solutions of $u"(t) + a(t) f(u)g(u') = 0$. IV.L'enseignement Math., VII, 1961, 157-165. MR 0234059 |
| Reference:
|
[19] Wong J. S. W., Burton T.: Some Properties of Solutions of $u"(t) + a(t) f(u)g(u') = 0$. II.Monatsh. Math., 69, No 4, 1965, 368-374. MR 0186885 |
| . |
