Topics In Functional Differential And Difference Equations
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Topics in Functional Differential and Difference Equations
A compendium of papers from the July 1999 Conference on Functional Differential and Difference Equations held in Lisbon, Portugal. Articles cover a wide range of topics including: qualitative properties of solutions; bifurcation and stability theory; oscillatory behavior; control theory and feedback systems; biological models; state-dependent delay equations; and Lyapunov methods. Titles include: damped wave equations with delay; asymptotic analysis of binomial recurrences; one-to-oneness and hyperbolicity; modeling the spread of feline leukemia virus in heterogeneous habitats; finite pole assignment of retarded dynamic systems in Hilbert spaces; and inverse problems for nonself-adjoint evolutionary systems. c. Book News Inc.
Differential and Difference Equations with Applications
Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.
Functional Differential Operators and Equations
Author: U.G. Kurbatov
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-04-30
This book deals with linear functional differential equations and operator theory methods for their investigation. The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility. Audience: This monograph will be of interest to students and researchers working in functional differential equations and operator theory and is recommended for graduate level courses.