Add to ORKGAbstract. In this paper we study additive perturbations of a linear Volterra in-tegral equation defined in a Banach space X by means of k-regularized resolvent families. We give also a representation formula for the generator of such family, under certain conditions on the scalar kernel k(t). 1
for the integrodifferential equation (E) w′(t) = Aw(t) + (K ∗Aw)(t) + f(t), t ≥ 0, in a Banach spac...
The regularization method of linear integral Volterra equations of the first kind is considered. The...
Abstract. We analize the inversion of the Laplace transform in UMD- spaces for resolvent families as...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abst...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
Abstract. In this paper we study multiplicative perturbations for the generator of a strongly contin...
AbstractIn this paper we study multiplicative perturbations for the generator of a strongly continuo...
AbstractWe give necessary and sufficient conditions for certain Volterra integral and integrodiffere...
We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic struc...
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the p...
The regularizing equations with a vector parameter of regularization are constructed for the linear ...
We study linear perturbations of analytic semigroups defined on a scale of Banach spaces. Fitting th...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
Abstract. We survey continuous and discrete regularization methods for first-kind Volterra problems ...
for the integrodifferential equation (E) w′(t) = Aw(t) + (K ∗Aw)(t) + f(t), t ≥ 0, in a Banach spac...
The regularization method of linear integral Volterra equations of the first kind is considered. The...
Abstract. We analize the inversion of the Laplace transform in UMD- spaces for resolvent families as...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abst...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
Abstract. In this paper we study multiplicative perturbations for the generator of a strongly contin...
AbstractIn this paper we study multiplicative perturbations for the generator of a strongly continuo...
AbstractWe give necessary and sufficient conditions for certain Volterra integral and integrodiffere...
We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic struc...
Let A be a linear operator in a Banach space X. We define a subspace of X and a norm such that the p...
The regularizing equations with a vector parameter of regularization are constructed for the linear ...
We study linear perturbations of analytic semigroups defined on a scale of Banach spaces. Fitting th...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
Abstract. We survey continuous and discrete regularization methods for first-kind Volterra problems ...
for the integrodifferential equation (E) w′(t) = Aw(t) + (K ∗Aw)(t) + f(t), t ≥ 0, in a Banach spac...
The regularization method of linear integral Volterra equations of the first kind is considered. The...
Abstract. We analize the inversion of the Laplace transform in UMD- spaces for resolvent families as...