AbstractWe study the behavior of the dual to the solution operator of the equationu(t)=u0+(a∗Au)(t) witha∈Lloc1(R+) in a general Banach space setting. We shall construct various spaces that are well known in semigroup theory but were not available for solution operators to Volterra integral equations previously. The most prominent one will be the spaceX⊙, the sun-dual space
Volterra integral equations with the integration region of non-traditional type are considered in th...
An integral equation of Volterra type with additional compact operator in Banach space is considered...
AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with ne...
AbstractWe study the behavior of the dual to the solution operator of the equationu(t)=u0+(a∗Au)(t) ...
AbstractThis paper discusses the existence, uniqueness, and asymptotic behavior of solutions to the ...
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is pr...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
In the study of Volterra integral equations of convolution type defined on the semi-axis with the Fr...
AbstractWe give necessary and sufficient conditions for certain Volterra integral and integrodiffere...
We study general cordial Volterra integral equations of the second kind and certain singular fractio...
AbstractThis paper studies the topological structure of the set of solutions for the equation y = Fy...
Abstract. In this paper we derived the explicit structure of generalized solutions of the Volterra i...
A Caratheodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spac...
Volterra integral equations with the integration region of non-traditional type are considered in th...
An integral equation of Volterra type with additional compact operator in Banach space is considered...
AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with ne...
AbstractWe study the behavior of the dual to the solution operator of the equationu(t)=u0+(a∗Au)(t) ...
AbstractThis paper discusses the existence, uniqueness, and asymptotic behavior of solutions to the ...
AbstractThe equation u(t) + ∝0tk(t − s)g(s) ds ϵ f(t), t ⩾ 0, is studied in a real Banach space with...
AbstractWe introduce a two-kernel dependent family of strong continuous operators defined in a Banac...
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is pr...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
In the study of Volterra integral equations of convolution type defined on the semi-axis with the Fr...
AbstractWe give necessary and sufficient conditions for certain Volterra integral and integrodiffere...
We study general cordial Volterra integral equations of the second kind and certain singular fractio...
AbstractThis paper studies the topological structure of the set of solutions for the equation y = Fy...
Abstract. In this paper we derived the explicit structure of generalized solutions of the Volterra i...
A Caratheodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spac...
Volterra integral equations with the integration region of non-traditional type are considered in th...
An integral equation of Volterra type with additional compact operator in Banach space is considered...
AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with ne...