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Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra
Faculty of Science, Alexandria University, Alexandria, Egypt
Collage of Science, Qassim University, Buraidah, KSA
- 1 Faculty of Science, Alexandria University, Alexandria, Egypt
- 2 Collage of Science, Qassim University, Buraidah, KSA
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Abstract
In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear analysis. Our considerations will be discussed in Banach algebra using a fixed point theorem instead of using the technique of measure of noncompactness. An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1].
KeywordsNonlinear OperatorsBanach AlgebraChandrasekhar’s Integral Equations
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