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 eigenvalues of Sturm–Liouville (SL) problems depend not only continuously but
smoothly on the problem. An expression for the derivative of an eigenvalue with respect to a …

Dependence of the nth Sturm–Liouville Eigenvalue on the Problem Page 1 journal of
differential equations 156, 328 354 (1999) Dependence of the nth Sturm Liouville Eigenvalue …

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 …

We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS
hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our …

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 …

The dependence of eigenvalues of Dirac system with general boundary conditions is
studied. It is shown that the eigenvalues of Dirac operators depend not only continuously but …

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 …

In this paper, a class of fourth‐order Sturm‐Liouville problems with transmission conditions
is considered. The eigenvalues depend not only continuously but also smoothly on the …