On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$
Archivum mathematicum, Tome 14 (1978) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34C10
@article{ARM_1978_14_1_a0,
     author = {Bartu\v{s}ek, Miroslav},
     title = {On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$},
     journal = {Archivum mathematicum},
     pages = {1--12},
     year = {1978},
     volume = {14},
     number = {1},
     mrnumber = {512740},
     zbl = {0389.34024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1978_14_1_a0/}
}
TY  - JOUR
AU  - Bartušek, Miroslav
TI  - On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$
JO  - Archivum mathematicum
PY  - 1978
SP  - 1
EP  - 12
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_1978_14_1_a0/
LA  - en
ID  - ARM_1978_14_1_a0
ER  - 
%0 Journal Article
%A Bartušek, Miroslav
%T On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$
%J Archivum mathematicum
%D 1978
%P 1-12
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_1978_14_1_a0/
%G en
%F ARM_1978_14_1_a0
Bartušek, Miroslav. On asymptotic properties and distribution of zeros of solutions of $y''+f(t,y,y')=0$. Archivum mathematicum, Tome 14 (1978) no. 1, pp. 1-12. http://geodesic.mathdoc.fr/item/ARM_1978_14_1_a0/

[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

[2] Бapтyшeк M.: O нyляx кoлeблющuxcя peшeнuй ypaвнeнuя $[p(t) x']' + f(t, x, x') = 0$. Дyдap. ypaв. XII, 1976, 621-625.

[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

[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

[5] Bartušek M.: Monotonicity Theorems Concerning Differential Equations $y" +f(t, y, y') = 0$. Arch. Math. XII, No 4, 1976, 169-178. | MR

[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

[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

[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

[9] Ендовицкий И. И.: Heкomopыe ycлoвия нeycmoйчuвocmu pemenuй ypaвnenuя $u" + p(x) u = 0$. M3B. BV30B, Maт., 140, Ho 1, 1974, 47-51.

[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.

[11] Kaтранов A. T.: O нулях колеблющихся pemenuй ypaвnenuя $x" + a(t)f(x) = 0$. Дифф. ypaв., VII, Ho 5, 1971, 930-933. | MR

[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.

[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.

[14] Lalli B. S.: On Boundedness of Solutions of Certain Second Order Differential Equations. J. Math. Anal. Appl., 25, 1969, 182-188. | MR

[15] Caнсонe Дж.: Oбыкновенныe дифференциальные ypaвнения II. Moscow 1954.

[16] Utz: Properties of Solutions of $u" + q(t)u^{2n-1} =0$. II. Monatsh. Math., 69, No 4, 1965, 353-361. | MR

[17] Waltman P.: Some Properties of Solutions of $u" + a(t)f(u) = 0$. Monatsh. Math., 67, 1963, No 1,50-54. | MR

[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

[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