Open AccessSOME CHARACTERIZATIONS OF DICHOTOMY FOR IMPULSIVE DYNAMIC SYSTEMS
Author(s) -
Gulnaz Atta,
Awais Younus
Publication year - 2021
Publication title -
journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2217-3412
DOI - 10.54379/jma-2021-5-2
Subject(s) - mathematics , pure mathematics , decomposition , decomposition theorem , dynamic equation , mathematical economics , nonlinear system , physics , ecology , quantum mechanics , biology
We study the problem of dichotomy and boundedness for impulsive dynamic equations on arbitrary closed subset of real numbers. The spectral decomposition theorem gives all our main results. The obtained results are fundamentally new, even for the classical case.