A survey of recent results for the generalizations of ordinary differential equations

This is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of generalized integration to unify many of them under one single formulation

[Book of abstracts]

USPCAPESCNPqFAPESPICMC Summer Meeting on Differential Equations (2016 São Carlos

[Book of abstracts]

USPFAPESPCAPESICMC Summer Meeting on Differential Equations (2015 São Carlos

Book of Abstracts

USPCAPESFAPESPCNPqINCTMatICMC Summer Meeting on Differentail Equations.\ud São Carlos, Brasil. 3-7 february 2014

Stability results for measure neutral functional differential equations via GODE

FAPESP (grant 2012/18559-1

Aplicações de sistemas caóticos em telecomunicações

FAPESP - Fundação de Amparo à Pesquisa do Estado de São Paul

Measure functional differential equations and functional dynamic equations on time scales

We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations. For both types of equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging.FAPESP [2010/09139-3, 2010/12673-1]CNPq [304646/2008-3]CAPES [6829-10-4]Czech Ministry of Education [MSM 0021620839

A Game of learning: a b-activity

Th The purpose of this article is to share the implementation of workgroup activities: a game of learning supported by web technology; Effective educational strategies that encourage a dynamic combination of being flexible, individualized and personalized must be the aim of every school; The blended-learning plays an important role; In this article we describe an online collaborative game which uses an inside and outside collaboration in order to promote the motivation and effective learning; Pedagogical strategies, that use technologies appropriately, in higher education, can promote active learning, centered on students and thus valuing their personal experiences and participation

On exponential stability of functional differential equations with variable impulse perturbations

We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals. We introduce the concept of variational exponential stability for generalized ordinary differential equations and we develop the theory in this direction by establishing conditions for the trivial solutions of generalized ordinary differential equations to be exponentially stable. Then, we apply the results to get corresponding ones for impulsive functional differential equations. We also present an example of a delay differential equation with Perron integrable right-hand side where we apply our result

Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

In this paper, we give sufficient conditions for the uniform boundedness and uniform ultimate boundedness of solutions of a class of retarded functional differential equations with impulse effects acting on variable times. We employ the theory of generalized ordinary differential equations to obtain our results. As an example, we investigate the boundedness of the solution of a circulating fuel nuclear reactor model