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Agarwal, Ravi P.; Avramescu, Cezar; Mustafa, Octavian G. On the Oscillation of a Second Order Strictly Sublinear Differential Equation. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 193-203. doi: 10.4153/CMB-2010-001-2
@article{10_4153_CMB_2010_001_2,
author = {Agarwal, Ravi P. and Avramescu, Cezar and Mustafa, Octavian G.},
title = {On the {Oscillation} of a {Second} {Order} {Strictly} {Sublinear} {Differential} {Equation}},
journal = {Canadian mathematical bulletin},
pages = {193--203},
year = {2010},
volume = {53},
number = {2},
doi = {10.4153/CMB-2010-001-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-001-2/}
}
TY - JOUR AU - Agarwal, Ravi P. AU - Avramescu, Cezar AU - Mustafa, Octavian G. TI - On the Oscillation of a Second Order Strictly Sublinear Differential Equation JO - Canadian mathematical bulletin PY - 2010 SP - 193 EP - 203 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-001-2/ DO - 10.4153/CMB-2010-001-2 ID - 10_4153_CMB_2010_001_2 ER -
%0 Journal Article %A Agarwal, Ravi P. %A Avramescu, Cezar %A Mustafa, Octavian G. %T On the Oscillation of a Second Order Strictly Sublinear Differential Equation %J Canadian mathematical bulletin %D 2010 %P 193-203 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-001-2/ %R 10.4153/CMB-2010-001-2 %F 10_4153_CMB_2010_001_2
[1] [1] Agarwal, R. P., Grace, S. R., and O’Regan, D., Oscillation Theory for Difference and Functional Differential Equations. Kluwer, Dordrecht, 2000. Google Scholar
[2] [2] Agarwal, R. P., Grace, S. R., and O’Regan, D., Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. Kluwer, Dordrecht, 2002. Google Scholar
[3] [3] Agarwal, R. P., Grace, S. R., and O’Regan, D., Linearization of second order sublinear oscillation theorems. Commun. Appl. Anal. 8(2004), no. 2, 219–235. Google Scholar
[4] [4] Butler, G. J., Integral averages and the oscillation of second order ordinary differential equations. SIAM J. Math. Anal. 11(1980), no. 1, 190–200. doi:10.1137/0511017 Google Scholar
[5] [5] Fite, W. B., Concerning the zeros of the solutions of certain differential equations. Trans. Amer. Math. Soc. 19(1918), no. 4, 341–352. doi:10.2307/1988973 Google Scholar
[6] [6] Kamenev, I. V., Certain specifically nonlinear oscillation theorems. Mat. Zametki 10(1971), 129–134 (in Russian). Google Scholar
[7] [7] Kwong, M. K. and Wong, J. S. W., On the oscillation and nonoscillation of second order sublinear equations. Proc. Amer. Math. Soc. 85(1982), no. 4, 547–551. doi:10.2307/2044063 Google Scholar
[8] [8] Kwong, M. K. and Wong, J. S. W., Linearization of second-order nonlinear oscillation theorems. Trans. Amer. Math. Soc. 279(1983), no. 2, 705–722. doi:10.2307/1999562 Google Scholar
[9] [9] Naito, M., Asymptotic behavior of solutions of second order differential equations with integrable coefficients. Trans. Amer. Math. Soc. 282(1984), no. 2, 577–588. doi:10.2307/1999253 Google Scholar
[10] [10] Naito, M., Integral averages and the asymptotic behavior of solutions of second order ordinary differential equations. J. Math. Anal. Appl. 164(1992), no. 2, 370–380. doi:10.1016/0022-247X(92)90121-S Google Scholar
[11] [11] Onose, H., On Butler's conjecture for oscillation of an ordinary differential equation. Quart. J. Math. Oxford 34(1983), no. 134, 235–239. doi:10.1093/qmath/34.2.235 Google Scholar
[12] [12] Philos, C. G., Integral averaging techniques for the oscillation of second order sublinear ordinary differential equations. J. Austral. Math. Soc. Ser. A 40(1986), no. 1, 111–130. doi:10.1017/S1446788700026549 Google Scholar
[13] [13] Philos, C. G., On oscillation of second order sublinear ordinary differential equations with alternating coefficients. Math. Nachr. 146(1990), 105–116. doi:10.1002/mana.19901460703 Google Scholar
[14] [14] Philos, C. G. and Purnaras, I. K., On the oscillation of second order nonlinear differential equations. Arch. Math. (Basel) 59(1992), no. 3, 260–271. Google Scholar
[15] [15] Wintner, A., A criterion of oscillatory stability. Quart. Appl. Math. 7(1949), 115–117. Google Scholar
[16] [16] Wong, J. S. W., A sublinear oscillation theorem. J. Math. Anal. Appl. 139(1989), 408–412. doi:10.1016/0022-247X(89)90117-0 Google Scholar
[17] [17] Wong, J. S. W., Oscillation of sublinear second order differential equations with integrable coefficients. J Math. Anal. Appl. 162(1991), no. 2, 476–481. doi:10.1016/0022-247X(91)90162-S Google Scholar
[18] [18] Wong, J. S. W., On an oscillation theorem of Waltman. Canad. Appl. Math. Q. 11(2003), no. 4, 415–432. Google Scholar
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