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MATHEMATICA BOHEMICA, Vol. 133, No. 4, pp. 407-420 (2008)
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#
On monotonic solutions of an integral equation

of Abel type

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Mohamed Abdalla Darwish

* Mohamed Abdalla Darwish*, Department of Mathematics, Faculty of Science, Alexandria University at Damanhour, 22511 Damanhour, Egypt, e-mail: ` darwishma@yahoo.com`

**Abstract:** We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar's integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.

**Keywords:** quadratic integral equation, monotonic solutions, Abel, measure of noncompactness, Darbo's fixed point theorem

**Classification (MSC2000):** 45G10, 45M99, 47H09

**Full text of the article:**

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