Lyapunov-Meyer functions and distance measure from generalized Fisher's equations

Generalized Lyapunov Equations and Positive Definite Functions

We establish the positive definiteness of some functions and of some matrices that arise as solutions of generalized Lyapunov equations. Mathematics Subject Classification (2000) : 42A82, 47A62, 15A24, 15A48.

Autoconvolution equations and generalized Mittag-Leffler ‎functions

This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of ...

Ranking of generalized fuzzy numbers using distance measure and similarity measure

Reflectionless Herglotz Functions and Generalized Lyapunov Exponents

We study several related aspects of reflectionless Jacobi matrices. Our first set of results deals with the singular part of reflectionless measures. We then introduce and discuss Lyapunov exponents, density of states measures, and other related quantities in a general setting. This is related to the previous material because the density of states measures are reflectionless on certain sets.

Numerical solution of generalized Lyapunov equations

Two eecient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method and the second is an extension of Ham-marling's method to generalized Lyapunov equations. Our LAPACK based subroutines are implemented in a quite exible way. They can handle the transposed equations and provide scalin...