# EXISTENCE RESULTS AND NUMERICAL SOLUTION OF FULLY FOURTH ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

Dang Quang A, Nguyen Thanh Huong
Author affiliations

## Authors

• Dang Quang A Center for Informatics and Computing, Vietnam Academy of Science and Technology, Ha Noi, Viet Nam
• Nguyen Thanh Huong Thainguyen University, College of Sciences

## Keywords:

Fully fourth order nonlinear boundary value problem, Functional differential equation, Existence and uniqueness of solution, Iterative method

## Abstract

In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments.
By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it. We obtain the total error estimate for the discrete iterative solution. Many examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method.

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25-12-2023

## How to Cite

[1]
D. Quang A and N. T. Huong, “EXISTENCE RESULTS AND NUMERICAL SOLUTION OF FULLY FOURTH ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS”, JCC, vol. 39, no. 4, p. 393–406, Dec. 2023.

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