Linear dynamic equations and 1D Schrödinger equation in time scales

• Grant number: 17/19159-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2017
• End date: October 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Roberto de Almeida Prado
• Grantee: Enrico Sonvenso Ambrosio
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

The objective of this project is to initiate the candidate in the process of participation in scientific projects in the area of Dynamic Equations, through the time scales calculus, which is a recent theory that aims to extend and unify the continuous and discrete analysis in more general mathematics. In this project will be studied linear dynamic equations of first and second orders in a way analogous to the study that is done in the theory of ordinary differential equations. Moreover, we intend to study the one-dimensional Schrodinger equation on time scales. (AU)