Eigenvalues of Lidstone boundary value problems

DOI10.1016/S0096-3003(98)10045-0zbMath0933.65089OpenAlexW1975791058MaRDI QIDQ1294229

Ravi P. Agarwal, Patricia J. Y. Wong

Publication date: 20 March 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10045-0

zbMATH Keywords

positive solutionseigenfunctionsnonlinear eigenvalue problemnonlinear boundary value problemspositive eigenvalueseigenvalue intervals

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (37)

Boundary value problems for 2n-th order nonlinear ordinary differential equation ⋮ Solutions of 2\(n\)th Lidstone boundary value problems and dependence on higher order derivatives ⋮ Two-point higher-order BVPs with singularities in phase variables ⋮ The method of lower and upper solutions for \(2n\)th-order multi-point boundary value problems ⋮ Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems ⋮ Sturm-Liouville BVP in Banach space ⋮ Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem ⋮ Unnamed Item ⋮ On the positive solutions of Lidstone boundary value problems. ⋮ Monotone iterative technique and positive solutions of lidstone boundary value problems. ⋮ A three point boundary value problem for nonlinear fourth order differential equations. ⋮ Singular Lidstone boundary value problem with given maximal values for solutions. ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Existence of positive solutions for singular higher-order differential equations ⋮ Existence of positive solutions for a general nonlinear eigenvalue problem ⋮ A singular boundary value problem for odd-order differential equations ⋮ Existence of positive solutions for higher order \(p\)-Laplacian boundary value problems ⋮ Positive solutions of fourth-order Sturm-Liouville boundary value problems with changing sign nonlinearity ⋮ Positive solutions of \(2n\)th-order ordinary differential equations with multi-point boundary conditions ⋮ Collocation for high-order differential equations with Lidstone boundary conditions ⋮ Positive solutions of two-point boundary value problems for 2\(n\)-order differential equations dependent on all derivatives ⋮ The Green's function for \((k,n-k)\) conjugate boundary value problems and its applications ⋮ Eigenvalues of a system of Fredholm integral equations ⋮ Fourth-order problems with nonlinear boundary conditions ⋮ Positive solutions of the nonlinear fourth-order beam equation with three parameters ⋮ Upper and lower estimates for positive solutions of the higher order Lidstone boundary value problem ⋮ Bifurcation techniques and positive solutions of discrete Lidstone boundary value problems ⋮ Higher order boundary value problems on time scales ⋮ Characterization of eigenvalues for difference equations subject to Lidstone conditions ⋮ Multiple positive eigenfunctions of singular Hammerstein integral equations with applications to boundary value problems ⋮ Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems ⋮ Three symmetric solutions of Lidstone boundary value problems for difference and partial difference equations ⋮ Positive and sign-changing solutions for fourth-order BVPs with parameters ⋮ Multiple solutions of difference and partial difference equations with Lidstone conditions ⋮ Monotone iterative technique and positive solutions of Lidstone boundary value problems ⋮ Green's function and positive solutions for higher-order ODE. ⋮ Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-difference methods for twelfth-order boundary-value problems
• Numerical methods for unilateral problems
• Boundary value problems occurring in plate deflection theory
• Lidstone polynomials and boundary value problems
• Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
• Existenzaussagen und Fehlerabschätzungen bei gewissen nichtlinearen Randwertaufgaben mit gewöhnlichen Differentialgleichungen
• Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods
• Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
• Localised instability in a bénard layer
• A sixth-order multiderivative method for two beam problems
• Multiderivative methods for nonlinear beam problems
• Solving Boundary Value Problems in Plate Deflection Theory
• Quasilinearization and approximate quasilinearization for lidstone boundary value problems
• Numerical methods for the solution of special sixth-order boundary-value problems
• Finite difference methods for two-point boundary value problems involving high order differential equations
• Finite-difference methods for the solution of special eighth-order boundary-value problems

This page was built for publication: Eigenvalues of Lidstone boundary value problems