Recent Advances in Delay Differential and Difference Equations

Abstract

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 a Differential Equation with a Threshold Delay.- Application of Advanced Integro-Differential Equations in Insurance Mathematics and Process Engineering.- Stability and Control of Systems with Propagation.- Discrete Ito Formula for Delay Stochastic Difference Equations with Multiple Noises.- On Semilinear Hyperbolic Functional Equations.- A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors.