Li, Zhao Li, Shuyong
Published in
Advances in Difference Equations

The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is established. Secondly, various criteria for the convergence and stability are obtained on the basis ...

Koné, Mamadou Ibrahima

L'objectif de cette thèse est de contribuer à l'optimisation de problèmes dynamiques en présence de retard. Le point de vue qui nous intéressera est celui de Pontryagin qui dans son ouvrage publié en 1962 a donné les conditions nécessaires d'existence de solutions pour ce type de problème. Warga dans son ouvrage publié en 1972 a fait un catalogue d...

Fu, Chunming Ma, Wanbiao
Published in
International Journal of Control, Automation and Systems

In this paper, for a class of the guidance dynamic system proposed by Moon, Kim, and Kim (Journal of Guidance, Control and Dynamics, vol. 24, no. 4, pp. 659–664, 2001) and Shafiei and Binazadeh (ISA Transactions, vol. 51, pp. 298–303, 2012), a new nonlinear missile guidance law with delayed line-of-sight (LOS) angular rate is introduced, and then p...

Kaushik, Aditya Sharma, Manju
Published in
Journal of Optimization Theory and Applications

We consider the numerical approximation of a singularly perturbed time delayed convection diffusion problem on a rectangular domain. Assuming that the coefficients of the differential equation be smooth, we construct and analyze a higher order accurate finite difference method that converges uniformly with respect to the singular perturbation param...

Walther, Hans-Otto
Published in
Differential Equations and Dynamical Systems

We prove a principle of linearized stability for semiflows generated by neutral functional differential equations of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum...

Liu, Zhihua Magal, Pierre Ruan, Shigui
Published in
Zeitschrift für angewandte Mathematik und Physik

In this paper, we establish a Hopf bifurcation theorem for abstract Cauchy problems in which the linear operator is not densely defined and is not a Hille–Yosida operator. The theorem is proved using the center manifold theory for non-densely defined Cauchy problems associated with the integrated semigroup theory. As applications, the main theorem ...

Vogt, Hendrik Voigt, Jürgen
Published in
Positivity

In this paper we study C0-semigroups on X × Lp( − h, 0; X) associated with linear differential equations with delay, where X is a Banach space. In the case that X is a Banach lattice with order continuous norm, we describe the associated modulus semigroup, under minimal assumptions on the delay operator. Moreover, we present a new class of delay op...

Fischer, Markus Nappo, Giovanna
Published in
Applied Mathematics and Optimization

We study a semi-discretisation scheme for stochastic optimal control problems whose dynamics are given by controlled stochastic delay (or functional) differential equations with bounded memory. Performance is measured in terms of expected costs. By discretising time in two steps, we construct a sequence of approximating finite-dimensional Markovian...

Sengadir, T
Published in
Proceedings Mathematical Sciences

In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence and uniqueness of solutions.

Grabner, Peter J. Steinsky, Bertran
Published in
aequationes mathematicae

Let zk be the k-th zero of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi (z) = {\sum\nolimits_{n = 0}^\infty {\frac{{{\left( { - z} \right)}^{n} }}{{n!2{\left( {...