Abstract
In this review paper, the aim is to present a functional-analytic method developed relevantly recently by the authors for the study of partial difference equations in the spaces l1 and l2. The method is demonstrated using two illustrative examples. At the same time an effort is made in order top resent several other methods used by other researchers, which make use of functional analysis and operator theory.
Mathematics Subject Classification. 39-02, 39A05, 39All, 47N99
Keywords: partial difference equations, functional analysis, boundedness, asymptotic stability, region of attraction, oscillation
Related Books
Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application
On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions
Introductory Statistics
Advanced Mathematical Applications in Data Science
Advanced Calculus - Fundamentals of Mathematics
Advanced Numerical Methods for Complex Environmental Models: Needs and Availability
Advances in Time Series Forecasting
Advances in Time Series Forecasting
Current Developments in Mathematical Sciences
Current Developments in Mathematical Sciences