<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We investigate oscillatory properties of the perturbed half-linear Euler differential equation <disp-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-011-0004-6#0007_graphic1.png"></inline-graphic></disp-formula>.</p><p>A perturbation is also allowed in the coefficient involving derivative.</p></abstract>

We investigate oscillatory properties of the perturbed half-linear Euler differential equation .A perturbation is also allowed in the coefficient involving derivative.

Half-linear Euler differential equations in the critical case

Department of Mathematics and Statistics Masaryk University Kotl´aˇrsk´a 2 CZ–611-37 Brno CZECH REPUBLIC

Tatra Mountains Mathematical Publications

{"article-title":"Half-linear Euler differential equations in the critical case"}

We investigate oscillatory properties of the perturbed half-linear Euler differential equation .A perturbation is also allowed in the coefficient involving...

Half-linear Euler differential equations in the critical case

Publié en ligne: 13 nov. 2012

Pages: 41 - 49

DOI: https://doi.org/10.2478/v10127-011-0004-6

Mots clés
half-linear differential equation, asymptotic formula, principal solution.

This content is open access.

Half-linear Euler differential equations in the critical case

Publié en ligne: 13 nov. 2012

Pages: 41 - 49

DOI: https://doi.org/10.2478/v10127-011-0004-6

Mots cléshalf-linear differential equation, asymptotic formula, principal solution.

This content is open access.

Mots clés
half-linear differential equation, asymptotic formula, principal solution.