Geodesic
Integral criteria of oscillation for a third order linear differential equation
Mathematica slovaca, Tome 45 (1995) no. 4, pp. 403-412
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34A30, 34C10 
@article{MASLO_1995_45_4_a9,
     author = {\v{S}kerl{\'\i}k, Anton},
     title = {Integral criteria of oscillation for a third order linear differential equation},
     journal = {Mathematica slovaca},
     pages = {403--412},
     year = {1995},
     volume = {45},
     number = {4},
     mrnumber = {1387057},
     zbl = {0855.34038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1995_45_4_a9/}
}
TY  - JOUR
AU  - Škerlík, Anton
TI  - Integral criteria of oscillation for a third order linear differential equation
JO  - Mathematica slovaca
PY  - 1995
SP  - 403
EP  - 412
VL  - 45
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1995_45_4_a9/
LA  - en
ID  - MASLO_1995_45_4_a9
ER  - 
%0 Journal Article
%A Škerlík, Anton
%T Integral criteria of oscillation for a third order linear differential equation
%J Mathematica slovaca
%D 1995
%P 403-412
%V 45
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1995_45_4_a9/
%G en
%F MASLO_1995_45_4_a9
Škerlík, Anton. Integral criteria of oscillation for a third order linear differential equation. Mathematica slovaca, Tome 45 (1995) no. 4, pp. 403-412. http://geodesic.mathdoc.fr/item/MASLO_1995_45_4_a9/

[1] CECCHI I., MARINI M.: On the oscillatory behavior of a third order nonlinear differential equation. Nonlinear Anal. 15 (1990), 141-153. | MR

[2] CHANTURIYA T. A.: Integral conditions of oscillation of solutions of higher-order linear differential equations. (Russian), Differentsiaľnye Uravneniya 16 (1980), 470-482. | MR

[3] DŽURINA J.: Comparison theorems for nonlinear ODE's. Math. Slovaca 42 (1992), 299-315. | MR | Zbl

[4] ELIAŠ J.: Properties of the nonoscillatory solutions for a third order nonlinear differential equation. Mat. Časopis 20 (1970), 249-253. | MR

[5] ERBE L.: Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations. Pacific J. Math. 64 (1976), 369-385. | MR | Zbl

[6] ERBE L.: Oscillation, nonoscillation and asymptotic behavior for third order nonlinear differential equations. Ann. Mat. Pura Appl. (4) 110 (1976), 373-391. | MR | Zbl

[7] HANAN M.: Oscillation criteria for a third order linear differential equations. Pacific J. Math. 11 (1961), 919-944. | MR

[8] JONES G. D.: An asymptotic property of solutions $y''' + p(x)y' + q(x)y = 0$. Pacific J. Math. 17 (1973), 135-138. | MR

[9] KHVEDELIDZE N. N., CHANTURIYA T. A.: Oscillation of solutions of third-order linear ODE's. (Russian), Differentsial'nye Uravneniya 27 (1991), 452-460, 611-618.

[10] LAZER A. C : The behavior of solutions of the differential equation $y''' + p(x)y' + q(x)y = 0$. Pacific J. Math. 17 (1966), 435-466. | MR | Zbl

[11] LIČKO I., ŠVEC M.: La caractère oscillatoire des solutions de ľequations $y^{(n)} +f(t)y^\alpha = 0$, $n > 1$. Czechoslovak Math. J. 13(88) (1963), 481-491. | MR

[12] NELSON J. L.: A stability theorem for a third order nonlinear differential equation. Pacific J. Math. 24 (1968), 341-344. | MR | Zbl

[13] OLÁH R.: Integral conditions of oscillation of a linear differential equation. Math. Slovaca 39 (1989), 323-329. | MR | Zbl

[14] ROVDER J.: Oscillation criteria for third-order linear differential equations. Mat. Časopis 25 (1975), 231-244. | MR | Zbl

[15] ŠKERLÍK A.: Criteria of property A for third order superlinear differential equations. Math. Slovaca 45 (1993), 171-183. | MR | Zbl

[16] ŠOLTÉS P.: A remark on the oscillatoriness of solutions of a nonlinear third order equation. Mat. Časopis 23 (1973), 326-332. | MR