| Grant number: | 17/13795-2 |
| Support Opportunities: | Regular Research Grants |
| Start date: | November 01, 2017 |
| End date: | October 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Márcia Cristina Anderson Braz Federson |
| Grantee: | Márcia Cristina Anderson Braz Federson |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
The main objective of this Project is to continue our research in Non-Absolute Integration theory and in theory of Generalized Ordinary Differential Equations, as well as the applications of these theories to the investigation of properties of the solutions of Ordinary and Functional Differential Equations (with delay or advance) Differential Equations on Time Scales, Impulsive Differential Equations, Measure Differential Equations, Neutral Functional Differential Equations, Integral Equations, and others, whenever the functions involved are very oscillating and hence not Lebesgue integrable.From the point of view of Mathematics, the Project is inserted in the qualitative study of solutions of various types of Differential and Integral Equations by transferring the properties of Generalized Ordinary Differential Equations and/or via applications of the Kurzweil-Henstock integral directly to the models.From the point of view of applications, the Project contributes especially to the development of sectors of the Chemical and Pharmaceutical Sciences (e.g., pharmacokinetics), Engineering (e.g., electrical circuits) and Physics (e.g., quantum mechanics), as well as models involving many jumps and highly oscillating functions. (AU)
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