Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$
Archivum mathematicum, Tome 49 (2013) no. 3, pp. 199-207
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We obtain monotonicity results concerning the oscillatory solutions of the differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$. 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.
DOI :
10.5817/AM2013-3-199
Classification :
34C10, 34C15, 34D05
Keywords: monotonicity; oscillatory solutions
Keywords: monotonicity; oscillatory solutions
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author = {Bartu\v{s}ek, Miroslav and Kokologiannaki, Chrysi G.},
title = {Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$},
journal = {Archivum mathematicum},
pages = {199--207},
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Bartušek, Miroslav; Kokologiannaki, Chrysi G. Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$. Archivum mathematicum, Tome 49 (2013) no. 3, pp. 199-207. doi: 10.5817/AM2013-3-199
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