Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
From MaRDI portal
Publication:1412340
DOI10.1016/S0168-9274(03)00065-5zbMath1068.74038OpenAlexW2049145692MaRDI QIDQ1412340
Publication date: 10 November 2003
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00065-5
Related Items
Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter, Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent, Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines, A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation, On the approximate solution of a Kirchhoff type static beam equation, Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type, Existence and multiplicity of solutions for a fourth-order elliptic equation, Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb {R}^{N}\), A novel efficient method for nonlinear boundary value problems, Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems, Multiplicity of solutions to the generalized extensible beam equations with critical growth, Ground state solutions for the generalized extensible beam equations, Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods, Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives, A Kirchhoff type equation in a nonlinear model of shell vibration, Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model, Ground state solution for a fourth order elliptic equation of Kirchhoff type with critical growth in \(\mathbb{R}^N\), Existence results for a fourth-order elastic beam equation via the variational approach, Unnamed Item, The solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions, Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory, A nonlinear boundary value problem for fourth-order elastic beam equations, A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes, A numerical method for a nonlinear system of integro-differential equations arising in thermoviscoelasticity, Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact, Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in \(\mathbb R^N\), Infinitely many high energy solutions for a fourth-order equations of Kirchhoff type in \(\mathbb{R}^N\), The existence of least energy sign-changing solution for Kirchhoff-type problem with potential vanishing at infinity, Unnamed Item, Existence results and iterative method for solving a nonlinear biharmonic equation of Kirchhoff type, Positive solutions for a nonlinear Kirchhoff type beam equation, Existence of solutions for fourth order elliptic equations of Kirchhoff type, Positive solutions for a beam equation on a nonlinear elastic foundation, Iterative solutions for a beam equation with nonlinear boundary conditions of third order, Buckling and longterm dynamics of a nonlinear model for the extensible beam, Finite element approximation to a contact problem for a nonlinear thermoviscoelastic beam, Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method, Positive solutions for a fourth order equation with nonlinear boundary conditions, Multiplicity results for perturbed fourth-order Kirchhoff-type problems, A generalization of an extensible beam equation with critical growth in \(\mathbb{R}^N\), Numerical solution of the static beam problem by Bernoulli collocation method, Multiple solutions for a fourth order equation with nonlinear boundary conditions: theoretical and numerical aspects, Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity, Upper and lower solution method for fourth-order four-point boundary value problems, Monotone positive solutions for a fourth order equation with nonlinear boundary conditions, A numerical algorithm for a Kirchhoff-type nonlinear static beam, Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity, Existence and multiplicity of solutions for fourth-order elliptic Kirchhoff equations with potential term, UNIQUE EXISTENCE RESULTS AND NUMERICAL SOLUTIONS FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free vibrations of beams on bearings with nonlinear elastic responses
- The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
- Finite difference approximate solutions for the strongly damped extensible beam equations
- Existence results for a model of nonlinear beam on elastic bearings
- The beam equation as a limit of a 1-D nonlinear von Kármán model
- On the variational principle
- A geometrical nonlinear correction to the Timoshenko beam equation.
- Free vibrations and dynamic buckling of the extensible beam
- Initial-boundary value problems for an extensible beam
- Boundary stabilization for a non-linear beam on elastic bearings