Opuscula Mathematica

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

Existence of solutions of some quadratic integral equations



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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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