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Integral conditions for nonoscillation of second order nonlinear differential equations

✍ Scribed by Mariella Cecchi; Zuzana Došlá; Mauro Marini; Ivo Vrkoč


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
154 KB
Volume
64
Category
Article
ISSN
0362-546X

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Nonoscillation criteria for second-order
✍ Jitsuro Sugie 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB

## Abstract This paper is concerned with the problem of deciding conditions on the coefficient __q__ (__t__) and the nonlinear term __g__ (__x__) which ensure that all nontrivial solutions of the equation (__|x__ ′|^α–1^__x__ ′)′ + __q__ (__t__)__g__ (__x__) = 0, __α__ > 0, are nonoscillatory. The