INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
A family of singular ordinary differential equations of the third order with an integral boundary condition
Autor/es:
BOUKROUCHE, MAHDI; TARZIA, DOMINGO A.
Revista:
Boundary Value Problems
Editorial:
Springer
Referencias:
Año: 2018 vol. 2018 p. 1 - 11
Resumen:
We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral boundary condition, with a real parameter. This equivalence allows us to obtain the solution to some problems for non-classical heat equation, the continuous dependence of the solution with respect to the parameter and the corresponding explicit solution to the considered problem.