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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Measure Neutral Functional Differential Equations as Generalized ODEs

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Author(s):
Federson, M. [1] ; Frasson, M. [1] ; Mesquita, J. G. [2] ; Tacuri, P. H. [3]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Brasilia, Inst Ciencias Exatas, Brasilia, DF - Brazil
[3] Univ Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 31, n. 1, p. 207-236, MAR 2019.
Web of Science Citations: 0
Abstract

In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type. (AU)

FAPESP's process: 17/13795-2 - Non Absolute Integration and Applications
Grantee:Márcia Cristina Anderson Braz Federson
Support Opportunities: Regular Research Grants