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Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra

Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra

作     者:Hind H. G. Hashem Aml A. Alhejelan 

作者机构:Faculty of Science Alexandria University Alexandria Egypt Collage of Science Qassim University Buraidah KSA 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2017年第8卷第6期

页      面:846-856页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Nonlinear Operators Banach Algebra Chandrasekhar’s Integral Equations 

摘      要: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].

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