Differential Equations and Computational Simulations

The Table of Contents for the book is as follows:

• Preface
• Modeling of micro diffractive optics
• On the oscillation of delay differential equation with distributed delay
• A numerical scheme for the Mullins-Sekerka evolution in three space dimensions
• Approximate normally hyperbolic invariant manifolds for semiflows
• Sufficient conditions for oscillation of second order nonlinear differential equations
• The limit cycle of two species predator-prey model with general functional response
• Symbolic calculi for sequences
• Uniformly asymptotic stability for nonautonomous differential equations with multiple delay
• Limiting profiles of periodic solutions of neural networks with synaptic delays
• Global uniform asymptotic stability of neutral Volterra equations
• Bifurcation and chaos of the dynamical models of mantle convection in an imposed vertical magnetic field
• Perturbations from an elliptic Hamiltonian of degree four
• Global stability of SEIR models with saturation incidence
• Global existence of positive periodic solutions for n-species Lotka–Volterra-type competition system deviating arguments
• Boundedness and periodic solutions of Volterra integro-differential equations
• New criteria of stability and boundedness for functional differential systems
• H_∞ observer design for discrete delay systems
• Hopf bifurcation for an ecological mathematical model on microbe populations
• A new Z_p index theory and its applications
• Criteria of 3-dimensional homogeneous vector fields
• Oscillations of second order impulsive advanced differential equations
• The Sobolev exponents of nonlinear wave equations in high space dimensions
• Boundary value problems for singular second-order FDEs
• Asymptotic behavior and existence of positive solutions for higher order neutral difference equations
• The function-controllability of the nonlinear control systems with state delay and control delay
• Stability of nonlinear ordinary differential systems
• The global and local C²-solutions for the wave equation in three space dimensions
• The blow-up rate for a system of semilinear heat equations with nonlinear boundary conditions
• Invariance and integrability of differential equation under fractional transformation
• On the non-constant periodic orbits of cubic Kolmogorov systems of a class in R³
• Global attractivity in delayed Hopfield neural network model with variable coefficients and delay
• Global attractivity of a delay difference model
• Oscillation and global attractivity of generalized Nicholson's Blowfly model
• Hopf bifurcation in a three-unit neural network with delay
• Asymptotic behavior for a class of delay 2-D discrete dynamic system
• Viscosity solutions of fully nonlinear systems parabolic equations
• Invariant manifolds for a rapidly oscillatory perturbation problem
• Global stability for a population model with time delay
• Distribution of the zeroes of the solutions of second order neutral differential equations
• Monotone solutions of second order quasilinear differential equations
• Stable set of nonlinear neutral-type large-scale dynamical systems
• Some recent contributions to impulsive functional differential equations
• Stability of solution for a class of the fourth order nonlinear autonomous systems
• Oscillation of neutral difference equations with maxima
• Asymptotic analysis of solutions of singularly perturbed equation
• Dynamics of 2–D incompressible flows
• Classification of translation maps of tori by topological conjugacy
• Existence of biharmonic curves and symmetric biharmonic maps
• Stability of large- scale linear system with time-delay
• On the asymptotic behavior of characteristic roots of neutral equations with a delay
• The qualitative analysis of two-species nonlinear competition system with periodic coefficients
• Oscillation of first order delay differential equations with oscillating coefficients
• The asymptotic theory for semilinear wave equations in two space dimensions
• The unique normal form theory
• On distribution of limit cycle for quadratic system in the plane
• Oscillation of certain neutral difference equation of mixed type with high order
• Persistence and periodic orbits for nonautonomous diffusion Volterra predator-prey system with undercrowding effect
• Competing predators for a prey in a chemostat model with two-nutrients and delay
• Qualitative studies on some chemotactic diffusion systems
• Nonoscillation for second order linear impulsive differential equation with delay
• Existence and uniqueness of periodic solutions for a class of higher dimensional non-autonomous system with delay
• Traveling waves for a quasilinear burgers-type equation
• Global attractor of reaction-diffusion equations with delays
• On non-existence of positive solutions of nonlinear polyharmonic equations
• Multiple periodic solutions for a class of retarded nonautonomous wave equations
• Existence of stable subharmonic solutions for reaction-diffusion equations
• A note on the lifespan of smooth solutions to the three dimensional compressible isentropic Euler equations
• Global stability of the second order equation ẍ + f(x, ẋ)ẋ + g(x) = 0
• Limit cycles of Kukles system with two fine foci
• Some mathematical problems in synchronization theory
• The structure of non-wandering sets of interval maps
• Some promising directions of research in the field of planar autonomous differential systems
• The asymptotic theory of initial value problem for semilinear wave equations in three space dimensions
• On the global stability for a class of difference equations with delay
• On the global attractivity and stability results of some nonlinear delay equations of logistic type
• Homoclinic orbits for singularly perturbed nonlinear Schrödinger equation
• Forced oscillations of a regularized long-wave equation and their global stability
• Hopf bifurcation of nonlinear differential equations with delays
• Rotation number, eigenvalues and their applications
• Almost periodic solutions for difference systems and Lyapunov functions
• The simultaneous collision orbits for N-body problems with quasihomogeneous potentials
• Invariant curves for a differential equation with delay
• Necessary and sufficient conditions for oscillation of some second order nonlinear functional differential equations
• The integrability theorems of Riccati differential equation with applications
• Robust stabilization of integro-differential systems
• On the retarded Liénard-type equation blow-up on some parabolic equations
• Dimension of the global attractor for semilinear wave equations with damping