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Papers by jesus matute

Research paper thumbnail of On Solutions of the Volterra Equation in the Space of Functions of Bounded Variation

In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness... more In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness of solutions for the Volterra equation in the Banach space of functions of bounded variation.

Research paper thumbnail of On Solutions of the Volterra Equation in the Space of Functions of Bounded Variation

Acta Mathematica Universitatis Comenianae

Research paper thumbnail of On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces

Research paper thumbnail of On the Hammerstein-Volterra Equation in the Space of the Absolutely Continuous Functions

In this paper we prove the existence and the uniqueness of the solutions of the Hammerstein-Volte... more In this paper we prove the existence and the uniqueness of the solutions of the Hammerstein-Volterra integral equation in the space of the absolutely continuous functions endowed with the bounded variation norm. After that, we find the resolvent of the corresponding linear integral equation in order to obtain a variation of parameters formula for the solutions of this linear equation. Finally, this formula of variation of parameters is used to study the controllability of the equations which were mentioned.

Research paper thumbnail of On the Hammerstein Equation in the Space of Functions of Bounded Φ-Variation in the Plane

In this paper we study existence and uniqueness of solutions for the Hammerstein equation

Research paper thumbnail of On solutions of the Volterra equation in the space of bounded variation functions

Acta Mathematica Universitatis Comenianae, Aug 21, 2014

In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness... more In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness of solutions for the Volterra equation in the Banach space of functions of bounded variation.

Research paper thumbnail of On Solutions of the Volterra Equation in the Space of Functions of Bounded Variation

In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness... more In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness of solutions for the Volterra equation in the Banach space of functions of bounded variation.

Research paper thumbnail of On Solutions of the Volterra Equation in the Space of Functions of Bounded Variation

Acta Mathematica Universitatis Comenianae

Research paper thumbnail of On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces

Research paper thumbnail of On the Hammerstein-Volterra Equation in the Space of the Absolutely Continuous Functions

In this paper we prove the existence and the uniqueness of the solutions of the Hammerstein-Volte... more In this paper we prove the existence and the uniqueness of the solutions of the Hammerstein-Volterra integral equation in the space of the absolutely continuous functions endowed with the bounded variation norm. After that, we find the resolvent of the corresponding linear integral equation in order to obtain a variation of parameters formula for the solutions of this linear equation. Finally, this formula of variation of parameters is used to study the controllability of the equations which were mentioned.

Research paper thumbnail of On the Hammerstein Equation in the Space of Functions of Bounded Φ-Variation in the Plane

In this paper we study existence and uniqueness of solutions for the Hammerstein equation

Research paper thumbnail of On solutions of the Volterra equation in the space of bounded variation functions

Acta Mathematica Universitatis Comenianae, Aug 21, 2014

In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness... more In this paper, we use a Leray-Schauder alternative in order to prove the existence and uniqueness of solutions for the Volterra equation in the Banach space of functions of bounded variation.

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