Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term

DOI10.1016/j.nonrwa.2017.01.001zbMath1362.34036OpenAlexW2575405351MaRDI QIDQ518725

Quang A. Dang, Thi Kim Quy Ngo

Publication date: 30 March 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.01.001

zbMATH Keywords

iterative methodexistence and uniqueness of solutionfully fourth order nonlinear boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (21)

A unified approach to study the existence and numerical solution of functional differential equation ⋮ A cantilever beam problem with small deflections and perturbed boundary data ⋮ Existence results and numerical method for a fourth order nonlinear problem ⋮ Existence results and numerical method for solving a fourth-order nonlinear integro-differential equation ⋮ Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems ⋮ Lower and upper solutions method to the fully elastic cantilever beam equation with support ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ ON THE EXISTENCE AND UNIQUENESS OF A POSITIVE SOLUTION TO A BOUNDARY ⋮ Existence results and iterative method for a fully fourth-order nonlinear integral boundary value problem ⋮ Existence and iterative method for some fourth order nonlinear boundary value problems ⋮ Existence results and iterative method for fully third order nonlinear integral boundary value problems. ⋮ A note on the eigenvalue criteria for positive solutions of a cantilever beam equation with free end ⋮ Monotone iterative technique for a class of slanted cantilever beam equations ⋮ Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis ⋮ Solving the Dirichlet problem for fully fourth order nonlinear differential equation ⋮ The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms ⋮ The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation ⋮ ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION ⋮ Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Cites Work

• Existence of positive solutions for the cantilever beam equations with fully nonlinear terms
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• Lower and upper solutions for a fully nonlinear beam equation
• Upper and lower solution methods for fully nonlinear boundary value problems
• Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem
• The upper and lower solution method for some fourth-order boundary value problems
• Existence results for a fully fourth-order boundary value problem
• Iterative method for solving the Neumann boundary value problem for biharmonic type equation

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