Integral criteria of oscillation for a third order linear differential equation

Anton Škerlík

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 4, page 403-412
  • ISSN: 0139-9918

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Škerlík, Anton. "Integral criteria of oscillation for a third order linear differential equation." Mathematica Slovaca 45.4 (1995): 403-412. <http://eudml.org/doc/31668>.

@article{Škerlík1995,
author = {Škerlík, Anton},
journal = {Mathematica Slovaca},
language = {eng},
number = {4},
pages = {403-412},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Integral criteria of oscillation for a third order linear differential equation},
url = {http://eudml.org/doc/31668},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Škerlík, Anton
TI - Integral criteria of oscillation for a third order linear differential equation
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 4
SP - 403
EP - 412
LA - eng
UR - http://eudml.org/doc/31668
ER -

References

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  1. CECCHI I., MARINI M., On the oscillatory behavior of a third order nonlinear differential equation, Nonlinear Anal. 15 (1990), 141-153. (1990) MR1065248
  2. CHANTURIYA T. A., Integral conditions of oscillation of solutions of higher-order linear differential equations, (Russian), Differentsiaľnye Uravneniya 16 (1980), 470-482. (1980) MR0569776
  3. DŽURINA J., Comparison theorems for nonlinear ODE's, Math. Slovaca 42 (1992), 299-315. (1992) Zbl0760.34030MR1182960
  4. ELIAŠ J., Properties of the nonoscillatory solutions for a third order nonlinear differential equation, Mat. Časopis 20 (1970), 249-253. (1970) MR0303007
  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. (1976) Zbl0339.34030MR0435508
  6. ERBE L., Oscillation, nonoscillation and asymptotic behavior for third order nonlinear differential equations, Ann. Mat. Pura Appl. (4) 110 (1976), 373-391. (1976) Zbl0345.34023MR0427738
  7. HANAN M., Oscillation criteria for a third order linear differential equations, Pacific J. Math. 11 (1961), 919-944. (1961) MR0145160
  8. JONES G. D., An asymptotic property of solutions y ' ' ' + p ( x ) y ' + q ( x ) y = 0 , Pacific J. Math. 17 (1973), 135-138. (1973) MR0326065
  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. (1991) 
  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. (1966) Zbl0143.31501MR0193332
  11. LIČKO I., ŠVEC M., La caractère oscillatoire des solutions de ľequations y ( n ) + f ( t ) y α = 0 , n > 1 , Czechoslovak Math. J. 13(88) (1963), 481-491. (1963) MR0161001
  12. NELSON J. L., A stability theorem for a third order nonlinear differential equation, Pacific J. Math. 24 (1968), 341-344. (1968) Zbl0155.13901MR0223664
  13. OLÁH R., Integral conditions of oscillation of a linear differential equation, Math. Slovaca 39 (1989), 323-329. (1989) Zbl0685.34029MR1016349
  14. ROVDER J., Oscillation criteria for third-order linear differential equations, Mat. Časopis 25 (1975), 231-244. (1975) Zbl0309.34028MR0412521
  15. ŠKERLÍK A., Criteria of property A for third order superlinear differential equations, Math. Slovaca 45 (1993), 171-183. (1993) Zbl0776.34028MR1274600
  16. ŠOLTÉS P., A remark on the oscillatoriness of solutions of a nonlinear third order equation, Mat. Časopis 23 (1973), 326-332. (1973) MR0340719

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