The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation

The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.231017.250118a

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 323–335

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Beam equation Kirchhoff type equation nonlinear equation unique solvability iterative method.

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