First-order nonlinear dynamic initial value problems
| dc.contributor.author | Bohner, Martin | |
| dc.contributor.author | Tikare, Sanket | |
| dc.contributor.author | Santos, Iguer Luis Domini dos [UNESP] | |
| dc.contributor.institution | Missouri Univ Sci & Technol | |
| dc.contributor.institution | Ramniranjan Jhunjhunwala Coll | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2022-04-28T17:22:18Z | |
| dc.date.available | 2022-04-28T17:22:18Z | |
| dc.date.issued | 2021-01-01 | |
| dc.description.abstract | We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions. | en |
| dc.description.affiliation | Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA | |
| dc.description.affiliation | Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai 400086, MS, India | |
| dc.description.affiliation | UNESP Univ Estadual Paulista, Dept Matemat, Fac Engn Ilha Solteira, Av Brasil 56, BR-15385000 Ilha Solteira, SP, Brazil | |
| dc.description.affiliationUnesp | UNESP Univ Estadual Paulista, Dept Matemat, Fac Engn Ilha Solteira, Av Brasil 56, BR-15385000 Ilha Solteira, SP, Brazil | |
| dc.description.sponsorship | University of Mumbai | |
| dc.description.sponsorship | Ramniranjan Jhunjhunwala College | |
| dc.description.sponsorshipId | University of Mumbai: 529 | |
| dc.description.sponsorshipId | University of Mumbai: APD/ICD/2019-20/762 | |
| dc.description.sponsorshipId | Ramniranjan Jhunjhunwala College: 935/17102019 | |
| dc.format.extent | 241-254 | |
| dc.identifier.citation | International Journal Of Dynamical Systems And Differential Equations. Geneva: Inderscience Enterprises Ltd, v. 11, n. 3-4, p. 241-254, 2021. | |
| dc.identifier.issn | 1752-3583 | |
| dc.identifier.uri | http://hdl.handle.net/11449/218657 | |
| dc.identifier.wos | WOS:000692768600003 | |
| dc.language.iso | eng | |
| dc.publisher | Inderscience Enterprises Ltd | |
| dc.relation.ispartof | International Journal Of Dynamical Systems And Differential Equations | |
| dc.source | Web of Science | |
| dc.subject | time scales | |
| dc.subject | dynamic equation | |
| dc.subject | first-order nonlinear | |
| dc.subject | existence | |
| dc.subject | continuous dependence | |
| dc.subject | fixed point theorems | |
| dc.subject | dynamic inequalities | |
| dc.title | First-order nonlinear dynamic initial value problems | en |
| dc.type | Artigo | |
| dcterms.rightsHolder | Inderscience Enterprises Ltd |