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EHRNSTRÖM, MATS. LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 105-120. doi: 10.1017/S0017089507003461
@article{10_1017_S0017089507003461,
author = {EHRNSTR\"OM, MATS},
title = {LINEAR {ASYMPTOTIC} {BEHAVIOUR} {OF} {SECOND} {ORDER} {ORDINARY} {DIFFERENTIAL} {EQUATIONS}},
journal = {Glasgow mathematical journal},
pages = {105--120},
year = {2007},
volume = {49},
number = {1},
doi = {10.1017/S0017089507003461},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003461/}
}
TY - JOUR AU - EHRNSTRÖM, MATS TI - LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS JO - Glasgow mathematical journal PY - 2007 SP - 105 EP - 120 VL - 49 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003461/ DO - 10.1017/S0017089507003461 ID - 10_1017_S0017089507003461 ER -
%0 Journal Article %A EHRNSTRÖM, MATS %T LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS %J Glasgow mathematical journal %D 2007 %P 105-120 %V 49 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003461/ %R 10.1017/S0017089507003461 %F 10_1017_S0017089507003461
[1] 1.Atkinson, F. V., On second order nonlinear oscillation, Pacific J. Math. 5 (1955), 643–647. Google Scholar | DOI
[2] 2.Bielecki, A., Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la théorie des équations differéntielles ordinaires, Bull. Acad. Polon. Sci. 4 (1956), 261–264. Google Scholar
[3] 3.Constantin, A., Global existence of solutions for perturbed differential equations, Ann. Mat. Pura Appl. 168 (1995), 237–299. Google Scholar | DOI
[4] 4.Constantin, A., On the existence of positive solutions of second order differential equations, Ann. Mat. Pura Appl. 184 (2005), 131–138. Google Scholar | DOI
[5] 5.Dubé, S. G., and Mingarelli, A. B., Note on a non-oscillation theorem or Atkinson, Electron. J. Differential Equations 22 (2004), 1–6. Google Scholar
[6] 6.Ehrnström, M., Positive solutions for second-order nonlinear differential equations, Nonlinear Anal. 64 (2006), 1608–1620. Google Scholar | DOI
[7] 7.Ehrnström, M., Prescribed asymptotic behaviour of solutions to semilinear ordinary differential equations, Appl. Math. Lett., to appear. Google Scholar
[8] 8.Ehrnström, M. and Mustafa, O. G., On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal., to appear. Google Scholar
[9] 9.Hallam, T., Asymptotic integration of second order differential equation with integrable coefficients, SIAM J. Appl. Math. 19 (1970), 430–439. Google Scholar | DOI
[10] 10.Kusano, T. and Naito, M., Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order, Hiroshima Math. J. 18 (1988), 361–372. Google Scholar | DOI
[11] 11.Kusano, T., Naito, M. and Usami, H., Asymptotic behavior of solutions of a class of second order nonlinear differential equations, Hiroshima Math. J. 16 (1986), 149–159. Google Scholar | DOI
[12] 12.Lipovan, O., On the asymptotic behaviour of the solutions to a class of second order nonlinear differential equations, Glasgow Math. J. 45 (2003), 179–187. Google Scholar | DOI
[13] 13.Mustafa, O. G., Initial value problem with infinitely many linear-like solutions for a second-order differential equation, Appl. Math. Lett. 18 (2005), 931–934. Google Scholar | DOI
[14] 14.Mustafa, O. G. and Rogovchenko, Y. V., Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations, Nonlinear Anal. 51 (2002), 339–368. Google Scholar | DOI
[15] 15.Mustafa, O. G. and Rogovchenko, Y. V., Asymptotic integration of nonlinear differential equations, Nonlinear Anal. 63 (2005), 2135–2143. Google Scholar | DOI
[16] 16.Philos, Ch., Purnaras, I., and Tsamatos, P., Asymptotic to polynomials solutions for nonlinear differential equations, Nonlinear Anal. 59 (2004), 1157–1179. Google Scholar | DOI
[17] 17.Usami, H., Global existence and asymptotic behavior of solutions of second-order nonlinear differential equations, J. Math. Anal. Appl. 122 (1987), 152–171. Google Scholar | DOI
[18] 18.Wahlén, E., Positive solutions of second-order differential equations, Nonlinear Anal. 58 (2004), 359–366. Google Scholar | DOI
[19] 19.Yin, Z., Monotone positive solutions of second-order nonlinear differential equations, Nonlinear Anal. 54 (2003), 391–403. Google Scholar | DOI
[20] 20.Zeidler, E., Nonlinear functional analysis and its applications I: fixed-point theorems (Springer-Verlag, 1985). Google Scholar | DOI
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