A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
From MaRDI portal
Publication:4982477
DOI10.15388/NA.2014.3.1zbMath1314.65105OpenAlexW2966838603MaRDI QIDQ4982477
Publication date: 9 April 2015
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/na.2014.3.1
Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) 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 (51)
On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem ⋮ Ordinary and generalized Green's functions for the second order discrete nonlocal problems ⋮ Nontrivial solutions of boundary value problems for second-order functional differential equations ⋮ Superlinear damped vibration problems on time scales with nonlocal boundary conditions ⋮ Generalized Green's functions for \(m\)th-order discrete nonlocal problems ⋮ NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS ⋮ On the Stability of a Weighted Finite Difference Scheme for Hyperbolic Equation with Integral Boundary Conditions ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Existence and approximation of solution for a nonlinear second-order three-point boundary value problem ⋮ Existence and localization of solutions for operatorial systems defined on Cartesian product of Fréchet spaces using a new vector version of Krasnoselskii's cone compression-expansion theorem ⋮ Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument ⋮ Construction of Green's functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient ⋮ On the solvability of a parameter-dependent cantilever-type BVP ⋮ ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS ⋮ Existence of multiple positive solutions for a third-order boundary value problem with nonlocal conditions ⋮ Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions ⋮ ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS ⋮ An affine Birkhoff–Kellogg‐type result in cones with applications to functional differential equations ⋮ New approach for studying nonlocal problems related to differential systems and partial differential equations in generalized fuzzy metric spaces ⋮ Green's function and existence of solutions for a third-order boundary value problem involving integral condition ⋮ Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions ⋮ Unnamed Item ⋮ A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems ⋮ Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains ⋮ Nonzero positive solutions of a multi-parameter elliptic system with functional BCs ⋮ A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition ⋮ Nonzero positive solutions of nonlocal elliptic systems with functional BCs ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ Unnamed Item ⋮ GREEN’S FUNCTION AND EXISTENCE OF SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM ⋮ Boundary value problem with integral condition for a Blasius type equation ⋮ Solvability of boundary value problem for second order impulsive differential equations with one-dimensional p-Laplacian on whole line ⋮ Existence of solutions for second-order integral boundary value problems ⋮ Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ On the areas under the oscillatory curves ⋮ On Fucík type spectrum for problem with integral nonlocal boundary condition ⋮ A new eigenvalue problem for the difference operator with nonlocal conditions ⋮ Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition ⋮ Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions ⋮ A NOTE ON EXISTENCE RESULTS FOR A CLASS OF THREE-POINT NONLINEAR BVPS ⋮ SPECTRUM CURVES FOR STURM–LIOUVILLE PROBLEM WITH INTEGRAL BOUNDARY CONDITION ⋮ ON SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR FOURTH-ORDER BEAM EQUATIONS ⋮ Infinite first order differential systems with nonlocal initial conditions ⋮ GREEN’S MATRICES FOR FIRST ORDER DIFFERENTIAL SYSTEMS WITH NONLOCAL CONDITIONS∗ ⋮ INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS ⋮ M-MATRICES AND CONVERGENCE OF FINITE DIFFERENCE SCHEME FOR PARABOLIC EQUATION WITH INTEGRAL BOUNDARY CONDITION ⋮ ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND EIGENFUNCTIONS OF A NONLOCAL BOUNDARY VALUE PROBLEM ⋮ Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions ⋮ Existence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type ⋮ Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
This page was built for publication: A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
