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Title: Oscillation and nonoscillation of Emden-Fowler type equations of second order (English)
Author: Lomtatidze, A.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 32
Issue: 3
Year: 1996
Pages: 181-193
Summary lang: English
Category: math
Summary: Oscillation and nonoscillation criteria are established for the equation $$u''+p(t)|u|^{\alpha}|u'|^{1-\alpha}\operatorname{sgn} u=0,$$ where $\alpha\in ]0,1]$, and $p:[0,+\infty[\to [0,+\infty[$ is a locally summable function. (English)
Keyword: Edmen-Fowler type equation of second order
Keyword: oscillatory and nonoscillatory solutions
Keyword: oscillatory and nonoscillatory equations
MSC: 34C10
MSC: 34C15
idZBL: Zbl 0908.34023
idMR: MR1421855
Date available: 2008-06-06T21:31:02Z
Last updated: 2012-05-10
Stable URL:
Reference: [1] Fite W. B.: Concerning the zeros of the solutions of certain differential equations.Trans. Amer. Math. Soc., vol. 19 (1917), pp. 341–352. MR 1501107
Reference: [2] Hille E.: Nonoscillation theorems.Trans. Amer. Math. Soc., vol. 64 (1948), pp. 234–252. MR 0027925
Reference: [3] Del Pino M., Elgueta M., Manasevich R.: Generalized Hartman’s oscillation result for $(|x^{\prime }|^{p-2}x^{\prime })^{\prime }+c(t)|x|^{p-2}=0, p>1.$.Houston Journal of Math., vol. 17 , No 1, (1991) pp. 63–70. Zbl 0733.34039, MR 1107187
Reference: [4] Lomtatidze A.: Oscillation and nonoscillation criteria for second order linear differential equation.Georgian Math. J., vol. 3, No. 2, (1997) pp. 129-138. MR 1439591
Reference: [5] Kiguradze I.T., Shekhter B. L.: Singular boundary value problems for second-order differential “Current Problems in Mathematics: Newest Results”, Vol. 3, pp. 3–103, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuzn. Inst. Nauchn. i Tekhn. Inform., Moscow, 1987. [in Russian] MR 0925830


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