On Monotonic Solutions of Some Integral Equations
نویسنده
چکیده
Integral equations arise naturally in applications of real world problems [5, 6, 7, 8]. The theory of integral equations has been well developed with the help of various tools from functional analysis, topology and fixed-point theory. The classical theory of integral equations can be generalized if one uses the Stieltjes integral with kernels dependent on one or two variables. The aim of this paper is to investigate the existence of monotonic solutions of so-called nonlinear integral equation of Urysohn-Stieltjes type. Equations of such kind contain, among others, the integral equation of Chandrasekhar which arises in radioactive transfer, neutron transport and the kinetic theory of gases [5, 6, 7, 8].
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تاریخ انتشار 2005