Tìm kiếm theo cụm từ
Chi tiết
Tên Existence results and iterative method for solving the cantilever beam equation with fully nolinear term
Lĩnh vực Toán học
Tác giả Đặng Quang Á, Ngô Thị Kim Quy
Nhà xuất bản / Tạp chí Elsevier / Nonlinear Analysis: Real World Applications Tập 36 Năm 2017
Số hiệu ISSN/ISBN 1468-1218
Tóm tắt nội dung

In this paper we study the solvability and iterative solution of a fully fourth order
nonlinear boundary value problem. Differently from the approaches of the other authors to fully fourth order nonlinear boundary value problems, where they established the existence of solution for the
problems under the restriction of the growth including a Nagumo-type condition of
the nonlinear function f, in this paper, we propose a novel approach by the reduction
of it to an operator equation for the function ϕ(x) = f(x, u(x), u(x), u′′(x), u′′′(x)).
Due to this, we free the above restriction. In result we established the existence and
uniqueness of a solution and the convergence of an iterative process. In addition, we
show the monotonicity of the iterative sequence. Some examples demonstrate the
applicability of the proposed approach and iterative method.