Publication details

Oscillatory solutions of nonlinear fourth order differential equations with a middle term

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BARTUŠEK Miroslav DOŠLÁ Zuzana

Year of publication 2014
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Fourth order nonlinear differential equation; oscillatory solution; oscillation
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Description We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator x^{(4)} + x'' and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation.
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