On the oscillatory behavior of solutions of second order nonlinear differential equations
Czechoslovak Mathematical Journal, Tome 36 (1986) no. 2, pp. 275-284
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1986.102091
Classification : 34C15
@article{10_21136_CMJ_1986_102091,
     author = {Graef, John R. and Spikes, Paul W.},
     title = {On the oscillatory behavior of solutions of second order nonlinear differential equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {275--284},
     year = {1986},
     volume = {36},
     number = {2},
     doi = {10.21136/CMJ.1986.102091},
     mrnumber = {831315},
     zbl = {0627.34034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102091/}
}
TY  - JOUR
AU  - Graef, John R.
AU  - Spikes, Paul W.
TI  - On the oscillatory behavior of solutions of second order nonlinear differential equations
JO  - Czechoslovak Mathematical Journal
PY  - 1986
SP  - 275
EP  - 284
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102091/
DO  - 10.21136/CMJ.1986.102091
LA  - en
ID  - 10_21136_CMJ_1986_102091
ER  - 
%0 Journal Article
%A Graef, John R.
%A Spikes, Paul W.
%T On the oscillatory behavior of solutions of second order nonlinear differential equations
%J Czechoslovak Mathematical Journal
%D 1986
%P 275-284
%V 36
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102091/
%R 10.21136/CMJ.1986.102091
%G en
%F 10_21136_CMJ_1986_102091
Graef, John R.; Spikes, Paul W. On the oscillatory behavior of solutions of second order nonlinear differential equations. Czechoslovak Mathematical Journal, Tome 36 (1986) no. 2, pp. 275-284. doi: 10.21136/CMJ.1986.102091

[1] L. Chen: Some remarks on oscillation of second order differential equations. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 67 (1979), 45-52. | MR | Zbl

[2] L. Chen, С. Yeh: Oscillation theorems for second order nonlinear differential equations with an "integrally small" coefficient. J. Math. Anal. Appl. 78 (1980), 49-57. | DOI | MR | Zbl

[3] Y. I. Domshlak: Oscillation of solutions of second-order differential equations. Differential'nye Uravnenija 7 (1971), 205-214 (Russian).

[4] S. R. Grace, B. S. Lalli: Oscillation theorems for certain second order perturbed nonlinear differential equations. J. Math. Anal. Appl. 77 (1980), 205-214. | DOI | MR | Zbl

[5] J. R. Graef, P. W. Spikes: Asymptotic behavior of the nonoscillatory solutions of differential equations with integrable coefficients. Publ. Math. Debrecen, to appear. | MR | Zbl

[6] M. K. Grammatikopoulos: Oscillation theorems for second order ordinary differential inequalities and equations with alternating coefficients. An. Stiint. Univ. "Al. I. Cuza" lasi Sect. la Mat. 26 (1980), 67-76. | MR | Zbl

[7] V. L. Jannelli: Sull'esistenza ed il comportamento asintotico di una classe di soluzioni monotone dell'equazione $(р(х)f(у)у')' =- q(x) g(y)$. Boll. Un. Mat. Ital. С (6) 2 (1983), 307-316.

[8] I. V. Kamenev: Oscillation of solutions of a second-order differential equation with an "integrally small" coefficient. Differential'nye Uravnenija 13 (1977), 2141 - 2148 (Russian). | MR | Zbl

[9] M. R. Kulenovic, M. K. Grammatikopoulos: On the asymptotic behavior of second order differential inequalities with alternating coefficients. Math. Nachr. 98 (1980), 317-327. | DOI | MR | Zbl

[10] T. Kura: Oscillation theorems for a second order sublinear ordinary differential equation. Proc. Amer. Math. Soc. 84 (1982), 535-538. | DOI | MR | Zbl

[11] T. Kusano H. Onose, H. Tobe: On the oscillation of second order nonlinear ordinary differential equations. Hiroshima Math. J. 4 (1974), 491 - 499. | DOI | MR

[12] M. K. Kwong, J. S. W. Wong: An application of integral inequality to second order nonlinear oscillation. J. Differential Equations 46 (1982), 63 - 77. | DOI | MR | Zbl

[13] M. K. Kwong, J. S. W. Wong: Linearization of second-order nonlinear oscillation theorems. Trans. Amer. Math. Soc. 279 (1983), 705-722. | DOI | MR | Zbl

[14] W. E. Mahfoud, S. M. Rankin: Some properties of solutions of $(r(t) \psi(x) x')' + a(t) f(x) = 0$. SIAM J. Math. Anal. 10 (1979), 49-54. | DOI | MR | Zbl

[15] Ch. G. Philos: Oscillation of sublinear differential equations of second order. Nonlinear Anal. 7 (1983), 1071-1080. | DOI | MR | Zbl

[16] Ch. G. Philos: A second order superlinear oscillation criterion. Canad. Math. Bull. 27 (1984), 102-112. | DOI | MR | Zbl

[17] V. A. Staikos, Y. G. Sficas: Oscillations for forced second order nonlinear differential equations. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 60 (1973), 25-30. | MR

[18] W. Walter: Differential and Integral Inequalities. Springer-Verlag, Berlin/New York, 1970. | MR | Zbl

[19] С. С. Yeh: An oscillation criterion for second order nonlinear differential equations with functional arguments. J. Math. Anal. Appl. 76 (1980), 72-76. | DOI | MR | Zbl

[20] С. С. Yeh: Oscillation theorems for nonlinear second order differential equations with damped term. Proc. Amer. Math. Soc. 84 (1982), 397-402. | DOI | MR | Zbl

[21] С. С. Yeh: Comparison theorems for second order nonlinear differential equations. to appear. | Zbl

Cité par Sources :