| Title:
|
Integral criteria of oscillation for a third order linear differential equation (English) |
| Author:
|
Škerlík, Anton |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
403-412 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0855.34038 |
| idMR:
|
MR1387057 |
| . |
| Date available:
|
2009-09-25T11:09:59Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128918 |
| . |
| Reference:
|
[1] CECCHI I., MARINI M.: On the oscillatory behavior of a third order nonlinear differential equation.Nonlinear Anal. 15 (1990), 141-153. MR 1065248 |
| Reference:
|
[2] CHANTURIYA T. A.: Integral conditions of oscillation of solutions of higher-order linear differential equations.(Russian), Differentsiaľnye Uravneniya 16 (1980), 470-482. MR 0569776 |
| Reference:
|
[3] DŽURINA J.: Comparison theorems for nonlinear ODE's.Math. Slovaca 42 (1992), 299-315. Zbl 0760.34030, MR 1182960 |
| Reference:
|
[4] ELIAŠ J.: Properties of the nonoscillatory solutions for a third order nonlinear differential equation.Mat. Časopis 20 (1970), 249-253. MR 0303007 |
| Reference:
|
[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. Zbl 0339.34030, MR 0435508 |
| Reference:
|
[6] ERBE L.: Oscillation, nonoscillation and asymptotic behavior for third order nonlinear differential equations.Ann. Mat. Pura Appl. (4) 110 (1976), 373-391. Zbl 0345.34023, MR 0427738 |
| Reference:
|
[7] HANAN M.: Oscillation criteria for a third order linear differential equations.Pacific J. Math. 11 (1961), 919-944. MR 0145160 |
| Reference:
|
[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 0326065 |
| Reference:
|
[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. |
| Reference:
|
[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. Zbl 0143.31501, MR 0193332 |
| Reference:
|
[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 0161001 |
| Reference:
|
[12] NELSON J. L.: A stability theorem for a third order nonlinear differential equation.Pacific J. Math. 24 (1968), 341-344. Zbl 0155.13901, MR 0223664 |
| Reference:
|
[13] OLÁH R.: Integral conditions of oscillation of a linear differential equation.Math. Slovaca 39 (1989), 323-329. Zbl 0685.34029, MR 1016349 |
| Reference:
|
[14] ROVDER J.: Oscillation criteria for third-order linear differential equations.Mat. Časopis 25 (1975), 231-244. Zbl 0309.34028, MR 0412521 |
| Reference:
|
[15] ŠKERLÍK A.: Criteria of property A for third order superlinear differential equations.Math. Slovaca 45 (1993), 171-183. Zbl 0776.34028, MR 1274600 |
| Reference:
|
[16] ŠOLTÉS P.: A remark on the oscillatoriness of solutions of a nonlinear third order equation.Mat. Časopis 23 (1973), 326-332. MR 0340719 |
| . |
