Opuscula Math. 28, no. 4 (2008), 433-440

Opuscula Mathematica

Existence of solutions of some quadratic integral equations

Giuseppe Anichini
Giuseppe Conti

Abstract. In this paper we study the existence of continuous solutions of quadratic integral equations. The theory of quadratic integral equations has many useful applications in mathematical physics, economics, biology, as well as in describing real world problems. The main tool used in our investigations is a fixed point result for the multivalued solution's map with acyclic values.

Keywords: fixed point property, measure of noncompactness, compact mappings, acyclic valued, quadratic integral equation.

Mathematics Subject Classification: 45G10, 47H09, 47H30.

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  • Giuseppe Anichini
  • Università di Firenze, Facoltà di Ingegneria, Via S. Marta 3, 50139, Italy
  • Giuseppe Conti
  • Università di Firenze, Facoltà di Architettura
  • Received: 2007-10-16.
  • Revised: 2008-01-31.
  • Accepted: 2008-01-31.
Opuscula Mathematica - cover

Cite this article as:
Giuseppe Anichini, Giuseppe Conti, Existence of solutions of some quadratic integral equations, Opuscula Math. 28, no. 4 (2008), 433-440

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