A linearization method in oscillation theory of half-linear second-order differential equations

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Authors	DOŠLÝ Ondřej PENA Simon
Year of publication	2005
Type	Article in Periodical
Magazine / Source	J. Inequal. Appl.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Half-linear equation; linearization technique; Riccati equation; Picone's identity
Description	Using inequalities for a certain function appearing in the half-linear version of Picone's identity, it is shown that oscillatory properties of half-linear second order differential equation can be investigated via oscillatory proerties of a certain associated linear differential equation.
Related projects:	Qualitative theory of solutions of difference equations Mathematical structures and their physical applications Functional-differential equations and mathematical-statistical models