Hartung F., Pituk M. (eds.) Recent Advances in Delay Differential and Difference Equations

New York: Springer, 2014. - 263p.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.On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
Comparison Theorems for Second-Order Functional Differential Equations
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
Stability Criteria for Delay Differential Equations
Analyticity of Solutions of Differential Equations with a Threshold Delay
Application of Advanced Integrodifferential Equations in Insurance Mathematics and Process Engineering
Stability and Control of Systems with Propagation
Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises
On Semilinear Hyperbolic Functional Equations with State-Dependent Delays
A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors