AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We obtain existence and uniqueness theorems for the solutions as well as regularity properties in suitable interpolation spaces
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
Abstract. We study the existence and uniqueness of the initial value problems in a Banach space E fo...
We study linear singular first-order integro-differential Cauchy problems in Banach spaces. The adje...
AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We ob...
AbstractWe give an existence result for the evolution equation (Ru)′+Au=f in the space W={u∈V|(Ru)′∈...
AbstractWe study the evolution equation u′(t) = Au(t) + J(u(t)), t ⩾ 0, where etA is a C0 semi-group...
stract separable Banach space This notes contain well-known results on the equivalence of several co...
The existence of solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are stu...
AbstractThe existence of strong solutions of Cauchy problem for the following evolution equation du(...
We give an existence result for the evolution equation (Ru)' + Au = f in the space W = {u is an elem...
A new approach to extrapolation spaces for unbounded linear operators is applied to evolution equati...
Real interpolation spaces are used for solving some identificationlinear evolution problems in Banac...
Real interpolation spaces are used for solving some direct and inverse linear evolution problems in...
We discuss the conditions under which bounded solutions of the evolution equation x′(t)=Ax(t)+f(t) i...
AbstractIn this paper the solutions of some evolution equations with fractional orders in a Banach s...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
Abstract. We study the existence and uniqueness of the initial value problems in a Banach space E fo...
We study linear singular first-order integro-differential Cauchy problems in Banach spaces. The adje...
AbstractWe study the differential equation tu′(t) + Au(t) = f(t), 0 < t < ∞, in Banach spaces. We ob...
AbstractWe give an existence result for the evolution equation (Ru)′+Au=f in the space W={u∈V|(Ru)′∈...
AbstractWe study the evolution equation u′(t) = Au(t) + J(u(t)), t ⩾ 0, where etA is a C0 semi-group...
stract separable Banach space This notes contain well-known results on the equivalence of several co...
The existence of solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are stu...
AbstractThe existence of strong solutions of Cauchy problem for the following evolution equation du(...
We give an existence result for the evolution equation (Ru)' + Au = f in the space W = {u is an elem...
A new approach to extrapolation spaces for unbounded linear operators is applied to evolution equati...
Real interpolation spaces are used for solving some identificationlinear evolution problems in Banac...
Real interpolation spaces are used for solving some direct and inverse linear evolution problems in...
We discuss the conditions under which bounded solutions of the evolution equation x′(t)=Ax(t)+f(t) i...
AbstractIn this paper the solutions of some evolution equations with fractional orders in a Banach s...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
Abstract. We study the existence and uniqueness of the initial value problems in a Banach space E fo...
We study linear singular first-order integro-differential Cauchy problems in Banach spaces. The adje...