Some results for Volterra integro-differential equations depending on derivative in unbounded domains

Authors

  • Giuseppe Anichini Università degli Studi di Firenze, Departement of Mathematics DIMAI, Viale Morgagni 67/A, 50134 Firenze.
  • Giuseppe Conti Università degli Studi di Firenze, Departement of Mathematics DIMAI, Viale Morgagni 67/A, 50134 Firenze
  • Alberto Trotta IISS Santa Caterina-Amendola, Via L. Lazzarelli 12, 84132 Salerno.

DOI:

https://doi.org/10.23755/rm.v37i0.486

Abstract

In this paper we study the existence of continuous solutions of an integro-differential equation in unbounded interval depending on derivative This paper extend some results obtained by the authors using the technique developed in their previous paper. This technique consists in  introducing,  in the given problems, a function q, belonging to a suitable space, instead of the state variable x. The fixed points of this function are the solutions of the original problem. In this investigation we use a fixed point theorem in Fréchet spaces.

References

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Published

2019-12-30

Issue

Vol. 37 (2019)

Section

Volume 37-2019

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