Difference Equations, Discrete Dynamical Systems and Applications

✍ Scribed by Martin Bohner, Yiming Ding, Ondřej Došlý (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 201
• Series: Springer Proceedings in Mathematics & Statistics 150
• Edition: 1st ed.
• Category: Library

✦ Synopsis

These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering. 

The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (Hubei, China), under the auspices of the International Society of Difference Equations (ISDE) in July 2014. Its purpose was to bring together renowned researchers working actively in the respective fields, to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. 

This book will appeal to researchers and scientists working in the fields of difference equations, discrete dynamical systems and their applications.

✦ Table of Contents

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
The Beverton–Holt q-Difference Equation with Periodic Growth Rate....Pages 3-14
Spectral Measures on Local Fields....Pages 15-35
Pullback and Forward Attractors of Nonautonomous Difference Equations....Pages 37-48
Necessary and Sufficient Conditions for Hyperbolicity....Pages 49-63
Front Matter....Pages 65-65
On Hausdorff Dimension of Invariant Sets for a Class of Piecewise Linear Maps....Pages 67-82
Generalized Zeros and Nonpositivity of Energy Functionals Associated with Half-Linear Even-Order Difference Equations....Pages 83-94
Eigenvalue Comparison for Discrete Symplectic Systems....Pages 95-107
Cookie-Cutter-Like Dynamic System of Unbounded Expansion....Pages 109-117
A Discrete Dynamic Model for Computer Worm Propagation....Pages 119-131
Almost Periodic Solutions of Neutral Functional Dynamic Systems in the Sense of Stepanov....Pages 133-143
On a Linear Delay Partial Difference Equation with Impulses....Pages 145-152
Nonstationarity of Stock Returns....Pages 153-165
Pricing Convertible Bonds with Credit Risks and Stochastic Interest Rates....Pages 167-180
Dynamical Systems Disjoint from Any Minimal System Under Group Actions....Pages 181-195

✦ Subjects

Mathematics;Difference equations;Functional equations;Dynamics;Ergodic theory;Applied mathematics;Engineering mathematics;Mathematical models;Biomathematics