@Article{EAJAM-8-323, author = {}, title = {The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {323--335}, abstract = {

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} }