East Asian J. Appl. Math., 8 (2018), pp. 323-335.
Published online: 2018-05
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We reduce a nonlinear fourth order equation of Kirchhoff type to an operator equation for a nonlinear term and establish sufficient conditions for the unique solvability of the original problem. Approximate solutions of the problem are derived by a fast converging iterative method. Numerical examples confirm theoretical results and demonstrate the efficiency of the approach used.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.231017.250118a}, url = {http://global-sci.org/intro/article_detail/eajam/12208.html} }We reduce a nonlinear fourth order equation of Kirchhoff type to an operator equation for a nonlinear term and establish sufficient conditions for the unique solvability of the original problem. Approximate solutions of the problem are derived by a fast converging iterative method. Numerical examples confirm theoretical results and demonstrate the efficiency of the approach used.