4 papers
On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations
Xuan-Quang Bui, Vu Trong Luong, Nguyen Van Minh
We study conditions for the well-posedness of nonautonomous perturbation of evolution equations of the form \[ u'(t)=(A+B(t))u(t), \quad t \in [a,b], \] where generates a $\mat…
Traveling waves in nonclassical diffusion equations
William Barker, Le Xuan Dong, Vu Trong Luong +1
We study the existence of monotone traveling wave solutions in a class of nonclassical diffusion equations that include both standard diffusion and a higher-order mixed space-time…
Asymptotic periodic solutions of differential equations with infinite delay
Nguyen Duc Huy, Le Anh Minh, Vu trong Luong +1
In this paper, by using the spectral theory of functions and properties of evolution semigroups, we establish conditions on the existence, and uniqueness of asymptotic 1-periodic s…
A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators
Xuan-Quang Bui, Nguyen Duc Huy, Vu Trong Luong +1
In this paper we study the well-posedness of the evolution equation of the form , , where is the generator of a - semigroup and is a (possib…