Periodic averaging method for quantum calculus and its applications

• Grant number: 14/20187-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 30, 2015
• End date: February 23, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Jaqueline Godoy Mesquita
• Grantee: Jaqueline Godoy Mesquita
• Visiting researcher: Martin Bohner
• Visiting researcher institution: Missouri University of Science and Technology (Missouri S&T), United States
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Associated research grant: 13/17104-3 - Impulsive functional dynamic equations on time scales and applications, AP.JP

Abstract

The averaging method is a powerful tool in studying the perturbation and stability theory of differential equations. In this project, our main goal is to prove a periodic averaging theorem forq-difference equations as well to present some immediate consequences of this result and some examples to illustrate our main results. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BOHNER, MARTIN; MESQUITA, JAQUELINE G.. Periodic averaging principle in quantum calculus. Journal of Mathematical Analysis and Applications, v. 435, n. 2, p. 1146-1159, MAR 15 2016. (13/17104-3, 14/20187-0)