Smooth centre manifolds for impulsive delay differential equations
MetadataShow full item record
The existence and smoothness of centre manifolds and a reduction principle are proven for impulsive delay differential equations. Several intermediate results of theoretical interest are developed, including a variation of constants formula for linear equations in the phase space of right-continuous regulated functions, linear variational equation and smoothness of the nonautonomous process, and a Floquet theorem for periodic systems. Three examples are provided to illustrate the results.
Cite this version of the work
Kevin E. M. Church, Xinzhi Liu (2018). Smooth centre manifolds for impulsive delay differential equations. UWSpace. http://hdl.handle.net/10012/13105