On discontinuous differential equations

  • Iguer Luis Domini dos Santos FEIS/UNESP

Abstract

The paper studies and compare generalized solutions to discontinuous differential equations. This way, are studied and compared the Euler, Filippov, Hermes, Krasovskii, and Sentis generalized solutions to discontinuous differential equations. In particular, are studied relations between Euler and Hermes solutions. In addition, it is  proved that Hermes solutions satisfy some properties that are analogous to the properties satisfied by Euler solutions.
Published
2019-09-11
How to Cite
Luis Domini dos Santos, I. (2019). On discontinuous differential equations. Revista De Matemática Da UFOP, 6(01). Retrieved from https://periodicos.ufop.br/rmat/article/view/2173
Section
Artigos