Recent Advances in Delay Differential and Difference Equations

✍ Scribed by Ferenc Hartung, Mihály Pituk (eds.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 271
• Series: Springer Proceedings in Mathematics & Statistics 94
• Edition: 1
• Category: Library

✦ Synopsis

Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.

✦ Table of Contents

Front Matter....Pages i-xiii
On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity....Pages 1-85
Comparison Theorems for Second-Order Functional Differential Equations....Pages 87-103
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations....Pages 105-119
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type....Pages 121-130
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems....Pages 131-159
Stability Criteria for Delay Differential Equations....Pages 161-171
Analyticity of Solutions of Differential Equations with a Threshold Delay....Pages 173-180
Application of Advanced Integrodifferential Equations in Insurance Mathematics and Process Engineering....Pages 181-195
Stability and Control of Systems with Propagation....Pages 197-218
Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises....Pages 219-232
On Semilinear Hyperbolic Functional Equations with State-Dependent Delays....Pages 233-250
A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors....Pages 251-260
Back Matter....Pages 261-263

✦ Subjects

Difference and Functional Equations; Approximations and Expansions; Dynamical Systems and Ergodic Theory