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METHOD OF LIMIT RECURRENCE BY CONTRACTIVE MAPPING IN SOLVING A CLASS OF EXPONENTIAL KERNEL INTEGRAL EQUATIONS
Journal: BULLETIN OF THE NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING. Technical Sciences (Vol.4, No. 76)Publication Date: 2017-02-03
Authors : Romanіuk V. V.;
Page : 178-188
Keywords : operator mapping; contractive mapping; metric space; functional [0 1] − defined space; operator equation; mapping kernel; limit recurrence; approximate solution; unique fixed point; unique solution; zeroth approximation;
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Abstract
A method of solving a class of exponential kernel integral equations is suggested, when a polynomialized term is added to the integral. The kernel is defined on the unit square. The analytical solutions are found using limit recurrence of the corresponding operator mapping which is contractive one. The unique fixed point (solution) is represented as the geometrical progression sum.
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Last modified: 2018-03-27 19:58:54