Oscillation and nonoscillation of Emden-Fowler type equations of second order
Archivum Mathematicum (1996)
- Volume: 032, Issue: 3, page 181-193
- ISSN: 0044-8753
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topLomtatidze, Alexander. "Oscillation and nonoscillation of Emden-Fowler type equations of second order." Archivum Mathematicum 032.3 (1996): 181-193. <http://eudml.org/doc/247855>.
@article{Lomtatidze1996,
abstract = {Oscillation and nonoscillation criteria are established for the equation \[u^\{\prime \prime \}+p(t)|u|^\{\alpha \}|u^\{\prime \}|^\{1-\alpha \}\operatorname\{sgn\} u=0,\]
where $\alpha \in ]0,1]$, and $p:[0,+\infty [\rightarrow [0,+\infty [$ is a locally summable function.},
author = {Lomtatidze, Alexander},
journal = {Archivum Mathematicum},
keywords = {Edmen-Fowler type equation of second order; oscillatory and nonoscillatory solutions; oscillatory and nonoscillatory equations; Emden-Fowler type equations of second order; oscillatory solutions; nonoscillatory solutions; oscillatory equations; nonoscillatory equations},
language = {eng},
number = {3},
pages = {181-193},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Oscillation and nonoscillation of Emden-Fowler type equations of second order},
url = {http://eudml.org/doc/247855},
volume = {032},
year = {1996},
}
TY - JOUR
AU - Lomtatidze, Alexander
TI - Oscillation and nonoscillation of Emden-Fowler type equations of second order
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 3
SP - 181
EP - 193
AB - Oscillation and nonoscillation criteria are established for the equation \[u^{\prime \prime }+p(t)|u|^{\alpha }|u^{\prime }|^{1-\alpha }\operatorname{sgn} u=0,\]
where $\alpha \in ]0,1]$, and $p:[0,+\infty [\rightarrow [0,+\infty [$ is a locally summable function.
LA - eng
KW - Edmen-Fowler type equation of second order; oscillatory and nonoscillatory solutions; oscillatory and nonoscillatory equations; Emden-Fowler type equations of second order; oscillatory solutions; nonoscillatory solutions; oscillatory equations; nonoscillatory equations
UR - http://eudml.org/doc/247855
ER -
References
top- Fite W. B., Concerning the zeros of the solutions of certain differential equations, Trans. Amer. Math. Soc., vol. 19 (1917), pp. 341–352. (1917) MR1501107
- Hille E., Nonoscillation theorems, Trans. Amer. Math. Soc., vol. 64 (1948), pp. 234–252. (1948) MR0027925
- Del Pino M., Elgueta M., Manasevich R., Generalized Hartman’s oscillation result for , Houston Journal of Math., vol. 17 , No 1, (1991) pp. 63–70. (1991) Zbl0733.34039MR1107187
- Lomtatidze A., Oscillation and nonoscillation criteria for second order linear differential equation, Georgian Math. J., vol. 3, No. 2, (1997) pp. 129-138. (1997) MR1439591
- Kiguradze I.T., Shekhter B. L., Singular boundary value problems for second-order differential equations, in: “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] (1987) MR0925830
Citations in EuDML Documents
top- Serena Matucci, On asymptotic decaying solutions for a class of second order differential equations
- Ondřej Došlý, Methods of oscillation theory of half-linear second order differential equations
- Ondřej Došlý, Alexander Lomtatidze, Disconjugacy and disfocality criteria for second order singular half-linear differential equations
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