Geodesic
On monotonic solutions of an integral equation of Abel type
Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 407-420

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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.
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.
DOI : 10.21136/MB.2008.140629
Classification : 45G05, 45G10, 45M99, 47H09
Keywords: quadratic integral equation; monotonic solutions; Abel; measure of noncompactness; Darbo's fixed point theorem 
Darwish, Mohamed Abdalla. On monotonic solutions of an integral equation of Abel type. Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 407-420. doi: 10.21136/MB.2008.140629
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