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Monotonicity properties of oscillatory solutions of differential equation $(a (t) | y^{'} {|^{p - 1} y^{'})}^{'} + f (t, y, y^{'}) = 0$

Miroslav Bartušek; Chrysi G. Kokologiannaki — 2013

Archivum Mathematicum

We obtain monotonicity results concerning the oscillatory solutions of the differential equation $(a (t) | y^{'} {|^{p - 1} y^{'})}^{'} + f (t, y, y^{'}) = 0$ . The obtained results generalize the results given by the first author in [1] (1976). We also give some results concerning a special case of the above differential equation.

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Monotonicity properties of oscillatory solutions of differential equation ( a ( t ) | y ' | p - 1 y ' ) ' + f ( t , y , y ' ) = 0

Monotonicity properties of oscillatory solutions of differential equation $(a (t) | y^{'} {|^{p - 1} y^{'})}^{'} + f (t, y, y^{'}) = 0$