This book provides an introduction to the most recent developments in the theory and
practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A …

In the present review, we deal with the recently introduced method of spectral parameter
power series (SPPS) and show how its application leads to an explicit form of the …

A spectral parameter power series (SPPS) representation for regular solutions of singular
Bessel type Sturm–Liouville equations with complex coefficients is obtained as well as an …

A general solution of the fourth-order Sturm–Liouville equation is presented in the form of a
spectral parameter power series (SPPS). The uniform convergence of the series is proved …

We give an overview of recent developments in Sturm-Liouville theory concerning operators
of transmutation (transformation) and spectral parameter power series (SPPS). The …

The spectral parameter power series (SPPS) method is a recently introduced technique
(Kravchenko 2008 Complex Var. Elliptic Equ. 53 775–89, Kravchenko and Porter 2010 …

We derive a dispersion equation for determining eigenvalues of inhomogeneous quantum
wells in terms of spectral parameter power series and apply it for the numerical treatment of …

The optical transmittance of one-dimensional photonic structures generated from lossless
dielectric slabs with linear, or piecewise linear, profiles of their electric permittivity for linearly …

We establish a series representation of the Hill discriminant based on the spectral parameter
power series (SPPS) recently introduced by Kravchenko. We also show the invariance of the …

Given a regular nonvanishing complex valued solution y0 of the equation, x∈(a, b), assume
that it is n times differentiable at a point x0∈[a, b]. We present explicit formulas for …