Qualitative behavior of solutions of a third order nonlinear differential equation

John R. Graef and Moussadek Remili

Mathematische Nachrichten, 2017, vol. 290, issue 17-18, 2832-2844

Abstract: In this paper the oscillatory and asymptotic behavior of solutions of a class of nonlinear third order differential equations of the form (a(t)x′′+b(t)x′+p(t)x)′+p(t)x′+q(t)f(x)=0 are studied. Results on the square integrability of solutions and their derivatives are obtained. An example to illustrate the results is included and directions for future research are indicated.

Date: 2017
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https://doi.org/10.1002/mana.201600491

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