Existence of periodic solutions and bifurcation points for generalized ordinary differential equations
M Federson, J Mawhin, C Mesquita - Bulletin des Sciences Mathématiques, 2021 - Elsevier
The generalized ordinary differential equations (shortly GODEs), introduced by J. Kurzweil in
1957, encompass other types of equations. The first main result of this paper extends to …
1957, encompass other types of equations. The first main result of this paper extends to …
Invariant manifold theory for impulsive functional differential equations with applications
KEM Church - 2019 - uwspace.uwaterloo.ca
The primary contribution of this thesis is a development of invariant manifold theory for
impulsive functional differential equations. We begin with an in-depth analysis of linear …
impulsive functional differential equations. We begin with an in-depth analysis of linear …
Linearization and local topological conjugacies for impulsive systems
KEM Church, X Liu - Recent Advances in Mathematical and Statistical …, 2018 - Springer
Abstract The celebrated Hartman-Grobman theorem for ordinary differential equations states
that the phase portrait nearby a hyperbolic equilibrium point of a nonlinear system is …
that the phase portrait nearby a hyperbolic equilibrium point of a nonlinear system is …