Differential Equations and Control Theory

Z. Deng, Z. Liang, G. Lu, S. Ruan

• Publisher: CRC Press
• Year: 2020
• eBook ISBN: 9781000148534
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Preface
• Table of Contents
• Contributors
• Inverse spectral problems for elliptic operators and fractal drums
• On a difference equation with last conditions
• The estimates of eigenvalues for Laplace operator
• On second order linear differential systems
• Periodic/quasiperiodic solutions of second order Duffing’s equations
• Positive radial solutions to nonlinear boundary value problems for semilinear elliptic problems
• On the uniqueness of solution of integral equations
• The asymptotic expansion for spline-on-spline collocation of nonlinear two point boundary problem
• Stability of nonlinear measure differential large scale systems with impulsive effect
• On the existence of symmetric periodic solutions of a differential difference equation
• Stochastic perturbations of dynamical systems
• The measure properties of a class of general subordinators and the random re-orderings of the Cantor set
• Oscillation theorems for certain first-order nonlinear neutral differential equations
• Direction and stability of bifurcating periodic solutions in predator-prey systems with discrete delay
• Five-dimensional cooperative systems with every equilibrium stable
• Some problems of optimal control and estimation for stochastic hereditary systems
• Numerical analysis of some stochastic suboptimal controlled systems
• Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations
• Generic Hamiltonian systems with small perturbations
• Dimensions of measure supported on generalized MW construction
• Contributions to the theory of optimal stochastic controls
• Higher order abstract Cauchy problems in locally convex spaces
• Ekeland’s variational principle and maximum principle of time-delay system
• Stability problems of impulsive systems
• Temporal and spatial pattern formations
• pth moment exponential stability of large-scale stochastic delay systems in hierarchical form
• Periodic boundary value problem for second order functional differential equations
• The persistence of oscillation and asymptotic behavior for impulsive differential equations
• The application of optimal control theory to processing seismic exploration data
• Test and improvement on the mathematical model for the detection of mild diabetes
• Forced evolution equations and detection of climate change
• Central subsets of infinite discrete semigroup
• Complexity in reversible dynamical systems and integrability
• An application of monotone systems theory to a model of microbial competition
• Melnikov functions and homoclinic orbits for functional differential equations
• Generalized Melnikov formulas in arbitrary dimension
• Excitation and inhibition in oscillatory neural networks
• Persistence and global stability of two prey-predator pairs linked by diffusion
• A reaction-diffusion problem with nonlinear absorption versus release through boundaries
• The generalized stability and convergence estimations of finite element methods for the Navier-Stokes equations
• Phenomenological description of the optical field chaos in storage ring free-electron lasers
• Bifurcation of periodic orbit for a class of analytic perturbation systems
• Asymptotic behavior of a class of fourth order nonlinear functional differential equation with delays
• Study on robust stabilization for a class of continuous-time uncertain singular systems
• Global attractivity in a competition system with feedback control and time delay
• Microbial dynamics in a chemostat: competition, growth, implications of enrichment
• Symmetric bifurcations of FDEs: theory and applications to neural networks with memory
• Suboptimal control of linear neutral systems
• Existence and stability of positive periodic solution of delay logistic ecosystem with feedback control and diffusion
• Decentralized stabilization of composite systems with infinite delays
• Contributions to the qualitative theory of planar smooth dynamical systems and bifurcation of polynomial systems
• An atmospherical diffusion model and algorithm
• Oscillation criteria of solutions for linear parabolic equations of the neutral type
• The criteria for absolute stability of Lurie system with delay
• Uniqueness of solutions for generalized non-time-homogeneous birth and death differential equations
• The geometric properties of homogeneous polynomial vector fields
• On comparison theorems in nonlinear evolution equation
• Multiple solutions of the Choquard equation
• Uniform persistence and positive periodic solutions of predator-prey reaction-diffusion systems with spatial heterogeneity
• On the global center of polynomial differential systems of degree 2k+1
• On semi-orthogonal wavelet bases of periodic splines and their duals