Publicação: Boundedness of solutions
| dc.contributor.author | Afonso, Suzete M. [UNESP] | |
| dc.contributor.author | Da Silva, Fernanda Andrade | |
| dc.contributor.author | Bonotto, Everaldo M. | |
| dc.contributor.author | Federson, Márcia | |
| dc.contributor.author | Grau, Rogelio | |
| dc.contributor.author | Mesquita, Jaqueline G. | |
| dc.contributor.author | Toon, Eduard | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | Universidad del Norte | |
| dc.contributor.institution | Universidade de Brasília (UnB) | |
| dc.contributor.institution | Universidade Federal de Juiz de Fora | |
| dc.date.accessioned | 2022-04-29T08:37:46Z | |
| dc.date.available | 2022-04-29T08:37:46Z | |
| dc.date.issued | 2021-01-01 | |
| dc.description.abstract | This chapter presents the concepts of uniform boundedness, quasiuniform boundedness, and uniform ultimate boundedness in the scenery of generalized ordinary differential equations (ODEs). It includes criteria of uniform boundedness and uniform ultimate boundedness for the generalized ODE. The chapter presents some results concerning the boundedness of solutions for the generalized ODE using Lyapunov functionals. The correspondence between the solutions of the generalized ODE and the solutions of the measure differential equation (MDE) allows us to conclude that the MDE is also uniformly bounded. By using the results and the correspondence between generalized ODEs and MDEs, the chapter presents the results on boundedness for MDEs. It concludes by showing the extension of one of these results to a certain impulsive differential equation. | en |
| dc.description.affiliation | Departamento de Matemática Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista “Júlio de Mesquita Filho” (UNESP) | |
| dc.description.affiliation | Departamento de Matemática Instituto de Ciências Matemáticas e de Computação (ICMC) Universidade de São Paulo | |
| dc.description.affiliation | Departamento de Matemática Aplicada e Estatística Instituto de Ciências Matemáticas e de Computação (ICMC) Universidade de São Paulo | |
| dc.description.affiliation | Departamento de Matemáticas y Estadística División de Ciencias Básicas Universidad del Norte | |
| dc.description.affiliation | Departamento de Matemática Instituto de Ciências Exatas Universidade de Brasília | |
| dc.description.affiliation | Departamento de Matemática Instituto de Ciências Exatas Universidade Federal de Juiz de Fora | |
| dc.description.affiliationUnesp | Departamento de Matemática Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista “Júlio de Mesquita Filho” (UNESP) | |
| dc.format.extent | 341-359 | |
| dc.identifier | http://dx.doi.org/10.1002/9781119655022.ch11 | |
| dc.identifier.citation | Generalized Ordinary Differential Equations in Abstract Spaces and Applications, p. 341-359. | |
| dc.identifier.doi | 10.1002/9781119655022.ch11 | |
| dc.identifier.scopus | 2-s2.0-85121529556 | |
| dc.identifier.uri | http://hdl.handle.net/11449/230094 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Generalized Ordinary Differential Equations in Abstract Spaces and Applications | |
| dc.source | Scopus | |
| dc.subject | Lyapunov functional | |
| dc.subject | Measure differential equation | |
| dc.subject | Ordinary differential equations | |
| dc.subject | Quasiuniform boundedness | |
| dc.subject | Uniform boundedness | |
| dc.subject | Uniform ultimate boundedness | |
| dc.title | Boundedness of solutions | en |
| dc.type | Capítulo de livro | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
| unesp.department | Matemática - IGCE | pt |