25 citations · 190 across the 38 of their papers we have counts for
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math.DS2018★ 1 cited
Non-Atkinson perturbations of nonautonomous linear hamiltonian systems: exponential dichotomy and nonoscillation
Carmen Nuñez, Rafael Obaya
We analyze the presence of exponential dichotomy (ED) and of global existence of Weyl functions for one-parametric families of finite-dimensional nonautonomous linear Hamil…
math.DS2018★ 5 cited
Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations
Janusz Mierczyński, Sylvia Novo, Rafael Obaya
Linear skew-product semidynamical systems generated by random systems of delay differential equations are considered, both on a space of continuous functions as~well as on a space…
math.DS2018
Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay
Rafael Obaya, Ana M. Sanz
This paper provides a dynamical frame to study non-autonomous parabolic partial differential equations with finite delay. Assuming monotonicity of the linearized semiflow, conditio…