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.
- 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.
