HYERS - ULAM STABILITY OF A FREDHOLM INTEGRAL EQUATION WITH TRIGONOMETRIC KERNELS
Journal: Universal Journal of Mathematics (Vol.1, No. 1)Publication Date: 2016-04-30
Authors : K Ravi; R MURALI; A PONMANASELVAN;
Page : 24-29
Keywords : Hyers - Ulam stability; Fredholm Integral equation of second kind; Fixed Point Method; Kernel.;
Abstract
In this paper, authors are interested in proving the Hyers - Ulam stability of a Fredholm integral equation of second kind with the trigonometric kernel function of the form (x) = x + Z sin nx sin ns (s) ds where n is an integer and for all x 2 [0; ], by using the xed point method.
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