EXISTENCE RESULTS AND ITERATIVE METHOD FOR SOLVING SYSTEMS OF BEAMS EQUATIONS

Abstract

In this paper, we propose a method for investigating the solvability and iterative solution of coupled beams equations with fully nonlinear terms. Differently from other authors, we reduce the problem to an operator equation for the right-hand side functions. The advantage of the proposed method is that it does not require any Nagumo-type conditions for the nonlinear terms. Some examples, where exact solution of the problem are known or not, demonstrate the effectiveness of the obtained theoretical results.