10 documents found, page 1 of 1

Stability, boundedness and controllability of solutions of measure functional d...

Permanence of equilibrium points in the basin of attraction and existence of pe...

Stability theory

Made available in DSpace on 2022-04-29T08:37:36Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-01-01; This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in the theory, developed by Aleksandr M. Lyapunov on the stability of solutions for cl...

Boundedness of solutions

Made available in DSpace on 2022-04-29T08:37:46Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-01-01; 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 pr...

Converse Lyapunov theorems for measure functional differential equations

Existence, uniqueness, variation-of-constant formula and controllability for li...

Lyapunov stability for measure differential equations and dynamic equations on ...

Regular stability for generalized ODE

Sistemas parabólicos : aplicações em fluidos com capilaridade trifásico

Financiadora de Estudos e Projetos; We study degenerate parabolic systems arised in three-phase capillary flows in porous media under a pressure control at the inflow and outflow boundaries. We perform a mathematical study of such systems for a class of linear capillarity pressure functions. To this end, a theory of nondegenerate parabolic approximations is developed. It has been proved the unique solvability o...

Lyapunov theorems for measure functional differential equations via Kurzweil-eq...