This book provides a modern survey of some basic properties of Sturm-Liouville problems
and to bring the reader to the forefront of knowledge of some areas of the theory. For …

Sturm-Liouville type boundary value problems arise a result of using the Fourier's method of
separation of variables to solve the classical partial differential equations of mathematical …

It is natural to consider continuous dependence of the n-th eigenvalue on d-dimensional
(d≥ 2) Sturm–Liouville problems after the results on 1-dimensional case by Kong, Wu and …

The dependence of the eigenvalues of self-adjoint Sturm–Liouville problems on the
boundary conditions when each endpoint is regular or in the limit-circle case is now, due to …

In this paper, non-self-adjoint Sturm–Liouville operators in Weyl's limit-circle case are
studied. We first determine all the non-self-adjoint boundary conditions yielding dissipative …

This paper is concerned with continuous dependence of the n-th eigenvalue of self-adjoint
discrete Sturm–Liouville problems on the problem. The n-th eigenvalue is considered as a …

This paper is concerned with continuous and differentiable dependence of isolated
eigenvalues on the boundary conditions of self-adjoint Sturm–Liouville problems with one …

In this paper, we consider the dependence of eigenvalues of a class of fourth-order Sturm–
Liouville problems on the boundary. We show that the eigenvalues depend not only …

We establish the Weyl‐Titchmarsh theory for singular linear Hamiltonian dynamic systems
on a time scale 𝕋, which allows one to treat both continuous and discrete linear Hamiltonian …

We investigate the behaviour of the eigenvalues of a self-adjoint Sturm–Liouville problem
with a separated boundary condition when the interval of the problem shrinks to an end …