Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
From MaRDI portal
Publication:1764500
DOI10.1016/S0893-9659(04)90037-7zbMath1072.34022MaRDI QIDQ1764500
Publication date: 25 February 2005
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)
Related Items (77)
Infinitely many solutions for impulsive nonlocal elastic beam equations ⋮ Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter ⋮ New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions ⋮ Monotone positive solution of a fourth-order BVP with integral boundary conditions ⋮ The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems ⋮ Positive solutions to a semipositone superlinear elastic beam equation ⋮ Solvability of a fourth-order boundary value problem with integral boundary conditions ⋮ Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ Existence of positive solutions for fourth-order \(m\)-point boundary value problem with variable parameters ⋮ Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation ⋮ Positive solutions for a fourth-order boundary value problem ⋮ Monotone and convex positive solutions for fourth-order multi-point boundary value problems ⋮ Infinitely many sign-changing solutions for some nonlinear fourth-order beam equations ⋮ Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem ⋮ Existence of positive solutions to a non-positive elastic beam equation with both ends fixed ⋮ Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem ⋮ Multiple solutions of some fourth-order boundary value problems ⋮ The method of lower and upper solutions for fourth order equations with the Navier condition ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ Some global results for nonlinear fourth order eigenvalue problems ⋮ Existence of positive solutions for some superlinear fourth-order boundary value problems ⋮ Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions ⋮ Monotone positive solutions for an elastic beam equation with nonlinear boundary conditions ⋮ Positive solutions of boundary value problems for fractional order differential equations by monotonic iteration method ⋮ About a numerical method of successive interpolations for functional Hammerstein integral equations ⋮ Existence and multiplicity of positive solutions for an elastic beam equation ⋮ On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument ⋮ Nontrivial solutions on a kind of fourth-order Neumann boundary value problems ⋮ Green's function and existence results for solutions of semipositone nonlinear Euler-Bernoulli beam equations with Neumann boundary conditions ⋮ The numerical method of successive interpolations for Fredholm functional integral equations ⋮ Nodal solutions for a class of fourth-order two-point boundary value problems ⋮ Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions ⋮ Eigenvalues of a class of singular boundary value problems of impulsive differential equations in Banach spaces ⋮ Existence and global behavior of positive solutions for some fourth-order boundary value problems ⋮ Multiple solutions of some nonlinear fourth-order beam equations ⋮ Unilateral global bifurcation for fourth-order problems and its applications ⋮ The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem ⋮ Positive solutions to a boundary value problem for the beam equation ⋮ Positive solutions of nonlinear second-order periodic boundary value problems ⋮ Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right ⋮ Spectrum of a linear fourth‐order differential operator and its applications ⋮ Multiplicity results to nonlinear Hammerstein integral equations and applications ⋮ Lower and upper solution method for the problem of elastic beam with hinged ends ⋮ Existence results for \((n-1,1)\)-type nonlocal integral boundary value problems for coupled systems of fractional differential equations at resonance ⋮ Positive solutions of singular sublinear fourth-order boundary value problems ⋮ Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends ⋮ Existence and non-existence of positive solutions of BVPs for fractional order elastic beam equations with a non-caratheodory nonlinearity ⋮ Solvability of boundary value problems for fractional order elastic beam equations ⋮ Elastic beam problem with higher order derivatives ⋮ Multiple nodal solutions for some fourth-order boundary value problems via admissible invariant sets ⋮ Global structure of nodal solutions for a fourth-order two-point boundary value problem ⋮ Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem ⋮ Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem ⋮ Existence of solutions for fourth-order boundary value problem with parameter ⋮ Existence and iteration of monotone positive solution of BVP for an elastic beam equation ⋮ Variational approaches to impulsive elastic beam equations of Kirchhoff type ⋮ Existence and multiplicity of solutions of a kind of fourth-order boundary value problem ⋮ Existence and multiplicity of constant sign solutions for one-dimensional beam equation ⋮ Global structure of positive solutions of fourth-order problems with clamped beam boundary conditions ⋮ Positive solutions for some nonlocal and nonvariational elliptic systems ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis ⋮ Existence and iteration of monotone positive solutions for an elastic beam equation with a corner ⋮ Infinitely many mountain pass solutions on a kind of fourth-order Neumann boundary value problem ⋮ Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives ⋮ Nontrivial solutions of a nonlinear heat flow problem via Sperner's lemma ⋮ Singular positone and semipositone boundary value problems of nonlinear fractional differential equations ⋮ Global structure of positive solutions for a singular fourth-order integral boundary value problem ⋮ Local existence of multiple positive solutions to a singular cantilever beam equation ⋮ Existence of infinitely many mountain pass solutions for some fourth-order boundary value problems with a parameter ⋮ Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem ⋮ The existence of symmetric positive solutions of fourth-order elastic beam equations ⋮ Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem ⋮ MULTIPLE POSITIVE SOLUTIONS OF BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-CARATHEODORY NONLINEARITIES ⋮ Symmetric positive solutions of boundary value problems with integral boundary conditions ⋮ Some applications of dominated convergence theorems to a higher-order singular boundary value problem ⋮ A monotone iteration for a nonlinear Euler-Bernoulli beam equation with indefinite weight and Neumann boundary conditions ⋮ Successive iteration and positive solution for nonlinear second-order three-point boundary value problems
Cites Work
- Iterative methods for a fourth order boundary value problem
- Existence and uniqueness results for the bending of an elastic beam equation at resonance
- On the positive solutions of Lidstone boundary value problems.
- An existence theorem on positive solutions for the elastic beam equation with both fixed end-points
- Unnamed Item
- Unnamed Item
This page was built for publication: Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
