2 citations · 2 across the 10 of their papers we have counts for
10 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…
Existence of bounded asymptotic solutions of autonomous differential equations
Vu Trong Luong, William Barker, Nguyen Duc Huy +1
We study the existence of bounded asymptotic mild solutions to evolution equations of the form in a Banach space $\X$, where generates an (analytic)…
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…
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…
On asymptotic periodic solutions of fractional differential equations and applications
Vu Trong Luong, Nguyen Duc Huy, Nguyen Van Minh +1
In this paper we study the asymptotic behavior of solutions of fractional differential equations of the form where is th…