The focus of this book is on algebro-geometric solutions of completely integrable nonlinear
partial differential equations in (1+ 1)-dimensions, also known as soliton equations. Explicitly …

The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979.
The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of …

Regular third-order boundary value problems with eigenparameter-dependent boundary
conditions and transmission conditions are investigated. It is obtained that the eigenvalues …

In this paper, we consider some boundary value problems generated by third-order formally
symmetric (self-adjoint) regular differential expression and separated, real-coupled and …

This paper is concerned with regular Sturm–Liouville problems with eigenparameter
dependent boundary conditions. We obtain that the eigenvalues are not only continuously …

For every positive integer n, we construct a class of regular self-adjoint and non-self-adjoint
Sturm–Liouville problems with exactly n eigenvalues. These n eigenvalues can be located …

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 …

We study singular left-definite Sturm–Liouville problems with an indefinite weight function.
The existence of eigenvalues is established based on the existence of eigenvalues of …

Abstract This paper investigates Sturm–Liouville problems with interface conditions. We
obtain that the eigen values depend not only continuously but also smoothly on the …

The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979.
The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of …