De la Vallee Poussin type inequality and eigenvalue problem for generalized half-linear differential equation

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

BÁŇA Libor DOŠLÝ Ondřej

Year of publication 2014
Type Article in Periodical
Magazine / Source Arch. Math. (Brno)
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Generalized half-linear differential equation; de la Vallee Poussin inequality; half-linear Euler differential equation
Description We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Pr\"ufer transformation. We establish a de la Vall\'ee Poussin type inequality for the distance of consecutive zeros of a nontrivial solution and this result we apply to the ``classical'' half-linear differential equation regarded as a perturbation of the half-linear Euler differential equation with the so-called critical oscillation constant. In the second part of the paper we study a Dirichlet eigenvalue problem associated with the investigated half-linear equation.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.