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

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

In this paper we prove existence and uniqueness of the solutions for a kind of Volterra equation, with an initial condition, in the space of the continuous functions with bounded variation which take values in an arbitrary Banach space. Then we give a parameters variation formula for the solutions o...

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Autores principales: Leiva,Hugo, Matute,Jesús, Merentes,Nelson, Sánchez,José
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:
Existence and uniqueness of solutions of integral equations in Banach spaces
continuous functions
bounded variation norm
parameters variation formula
controllability
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200004
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