Search
Search Results
-
Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients
This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be...
-
Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems
In this paper, we study the existence, nonexistence, and multiplicity of positive solutions to a nonlinear impulsive Sturm–Liouville boundary value...
-
Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems
The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. The bounds of the real and imaginary parts...
-
Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation
A class of Sturm-Liouville problems with discontinuity is studied in this paper. The oscillation properties of eigenfunctions for Sturm-Liouville...
-
Solving the Inverse Problems for Discontinuous Periodic Sturm–Liouville Operator by the Method of Rotation
In the work, we transform the discontinuous periodic Sturm–Liouville problems into the new problems by rotating. We present the uniqueness theorem...
-
Method for Solving Mixed Boundary Value Problems for Hyperbolic Type Equations by Using Lagrange–Sturm–Liouville Operators
We solve a mixed boundary value problem with arbitrary continuous functions, not necessarily satisfying the boundary conditions, in the initial...
-
Sturm-Liouville Theory
Covers Sturm-Liouville theory, with rigorous proofs of the existence of eigenvalues and validity of eigenfunction expansions.
-
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems
In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value...
-
Asymptotic analysis of Sturm–Liouville problem with Neumann and nonlocal two-point boundary conditions
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical...
-
Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Existence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an...
-
Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems
We study the bifurcation of solutions from infinity of Sturm–Liouville eigenvalue problems with a spectral parameter in the boundary condition. These...
-
Research on singular Sturm–Liouville spectral problems with a weighted function
As early as 1910, Weyl gave a classification of the singular Sturm–Liouville equation, and divided it into the Limit Point Case and the Limit Circle...
-
Traces for Sturm–Liouville Operators on a Caterpillar Graph
In this work, we consider the spectral problems for the Sturm–Liouville operators on a caterpillar graph with the standard matching conditions in the...
-
Transmutation Operators Based on Homotope Analysis for Nonlocal Boundary Value Problems
AbstractTransmutation operators nonlocal boundary value problems in terms of the homotopic analysis method is used to solve and research nonlocal...
-
Dependence of Eigenvalues of Sturm–Liouville Problems with Eigenparameter-Dependent Boundary Conditions and Interface Conditions
In this paper, regular Sturm–Liouville problems with eigenparameter-dependent boundary conditions and interface conditions are investigated. We...
-
Discrete Sturm-Liouville equations with point interaction
Scattering solutions and several properties of scattering function of a discrete Sturm-Liouville boundary value problem with point interaction (PBVP)...
-
Solving the inverse Sturm–Liouville problem with singular potential and with polynomials in the boundary conditions
In this paper, we for the first time get constructive solution for the inverse Sturm–Liouville problem with complex-valued singular potential and...
-
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions
The present paper deals with non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems involving nonlocal potential terms associated to...
-
Sturm–Liouville Problem for a One-Dimensional Thermoelastic Operator in Cartesian, Cylindrical, and Spherical Coordinate Systems
AbstractThe problem of constructing eigenfunctions of a one-dimensional thermoelastic operator in Cartesian, cylindrical, and spherical coordinate...