Recent Advances in Delay Differential and Difference Equations

Front Cover
Ferenc Hartung, Mihály Pituk
Springer, Aug 22, 2014 - Mathematics - 263 pages
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.
 

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Contents

1 On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differe...
1
2 Comparison Theorems for SecondOrder Functional Differential Equations
86
3 Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations
105
4 Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type
120
5 Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
131
6 Stability Criteria for Delay Differential Equations
161
7 Analyticity of Solutions of Differential Equations with a Threshold Delay
172
8 Application of Advanced Integrodifferential Equations in Insurance Mathematics and Process Engineering
181
9 Stability and Control of Systems with Propagation
197
10 Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises
219
11 On Semilinear Hyperbolic Functional Equations with StateDependent Delays
233
12 A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors
251
Index
261
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