Functional Differential Equations and Applications

This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations. This book is a collection of selected papers presented at the international conference of Functional Differential Equations and Applications (FDEA-2019), 7th in the series, held at Ariel University, Israel, from August 22-27, 2019. Topics covered in the book include classical properties of functional differential equations as oscillation/non-oscillation, representation of solutions, sign properties of Green's matrices, comparison of solutions, stability, control, analysis of boundary value problems, and applications. The primary audience for this book includes specialists on ordinary, partial and functional differential equations, engineers and doctors dealing with modeling, and researchers in areas of mathematics and engineering.   

Angela Slavova: Dynamical Behaviour of Integro-Differential Equations arising in Nano-Structures.- Jiri Benedikt, Petr Girg, and Lukas Kotrla: Nonlinear Models of the Fluid Flow in Porous Media and Their Methods of StudyMikhail Chirkov and S.Sergey Rusakov: Modeling of Control of the Immune Response in the Acute Form of an Infectious Disease under Conditions of Uncertainty.- G.V. Demidenko and I.I. Matveeva: The Second Lyapunov Method for Time-Delay Systems.- S.V. Rusakov, V.G. Gilev, and A.Yu. Rakhmanov: Diffusion-Kinetic Model of Curing of Epoxy Polymer.- Vasyl Martsenyuk, Mikolaj Karpinski, Aleksandra Klos-Witkowska, and Andriy Sverstiuk: On Qualitative Research of Lattice Dynamical System of Two- and Three-Dimensional Biopixels Array.- Khusainov Denys and Bychkov Oleksii: Research on Solutions Stability for Dynamic Switched Time-Delay Systems.- Gershon Kresin and Tehiya Ben Yaakov: Some Extremal Problems for Solutions of the Modified Helmholtz Equation in the Half-Space.- Medea Iordanishvili, Tea Shavadze and Tamaz Tadumadze: Delay Optimization Problem for One Class of Functional Differential Equation.- Alexey Kolchev and Ivan Egoshin: Some Problems of Mathematical Modeling of Radiophysical Sounding Signals.- Roman Koplatadze and Ivan Egoshin: Oscillation Criteria for Higher-Order Linear Differential Equations.- Irina Astashova, Alexey Filinovskiy and Dmitriy: On Necessary Conditions of Optimality to the Extremal Problem for Parabolic Equations.- T. Lazebnik, S. Yanetz, and S. Bunimovich-Mendrazitsky: PDE Modeling of Bladder Cancer Treatment Using BCG Immunotherapy.- A.V. Podolskiy and T.A. Shaposhnikova: Homogenization of a Parabolic Equation for P-Laplace Operator in a Domain Perforated along (N – 1)-Dimensional Manifold with Dynamical Boundary Condition Specified On Perforations Boundary: Critical Case.- Seshadev Padhi: Positive Solutions of Cantilever Beam Equation Depending on Parameter.- Irina Volinsky, Alexander Domoshnitsky, Marina Bershadsky and Roman Shklyar: Marchuk's Models of Infection Diseases: New Developments.- Yaroslav Petrivskyi and Volodymyr Petrivskyi: Some Properties of the Solution of the Nonlinear Equation of Oscillations in Modeling the Magnetic Separation.- Sergey Labovskiy and Manuel Alves: Poisson Problem for a Functional Differential Equation: Positivity of a Quadratic Functional, Jacobi Condition.- Tatiana Korchemkina: On Asymptotic Behavior of the First Derivatives of Bounded Solutions to Second-Order Differential Equations with General Power-Law Nonlinearity.- Alexander Domoshnitsky, Oleg Kupervasser, Hennadii Kutomanov, and Roman Yavich: A Method for Stabilization of Ground Robot Path Controlled by Airborne Autopilot with Time Delay.- Dan Gamliel: Periodic Solutions for a Class of Impulsive Delay Differential Equations.