### P-regular nonlinear dynamics

DOI: http://dx.doi.org/10.12775/TMNA.2015.047

#### Abstract

In this paper we generalize the notion of $p$-factor operator which is the basic notion of the so-called $p$-regularity theory for nonlinear and degenerated operators. We prove a theorem related to a new construction of $p$-factor operator. The obtained results are illustrated by an example concerning nonlinear dynamical system.

#### Keywords

$p$-regularity, nonlinear boundary value problem, dynamical systems

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