The present book builds upon an earlier work of J. Hale, "Theory of Func tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major c
Introduction to the theory of functional differential equations and their applications. Group approach.pdf 2016-06-15上传 Introduction to the theory of functional differential equations and their applications. Group approach 文档格式: .pdf 文档大小: ...
In this chapter, we introduce a general class of functional differential equations that generalize the differential difference equations of Chapter 1. The basic theory of existence, uniqueness, continuation, and continuous dependence for retarded equatio
differential equations with infinite delay, a fundamental problem is to give the conditions when the instability or the asymptotic stability of the trivial solution of a non-linear sys- tem follows from the instability or the asymptotic stability of the trivial solution of the ...
Volume 180: Stability of Functional Differential Equations Edited by V.B. Kolmanovskii - Institute for Problems in Mechanics, Academy of Sciences of USSR, Moscow, USSR V.R. Nosov - Institute for Problems in Mechanics, Academy of Sciences of USSR, Moscow, USSR Pages iii-iv, xi-xiv, 1-...
R. J. Oberg, On the local existence of solutions of certain functional differential equations,Proc. Amer. Math. Soc.,20 (1969), 295–302. Google Scholar M. Turinici, Volterra functional equations with transformed argument,Bull. Math. Soc. Sci. Math. Roum.,22 (70) (1978), 99–107. ...
Chapter 2Introduction to Functional DifferentialEquationsThere are different types of functional differential equations (FDEs) arising fromimportant applications: delay differential equations (DDEs) (also referred to as re-tarded FDEs [RFDEs]), neutral FDEs (NFDEs), and mixed FDEs (MFDEs). The...
New sufficient conditions are given ensuring the oscillation of all (or the bounded) solutions of functional-differential equations of the form x ( n) + H( t, x( g( t))) = Q( t). In some of the cases considered the forcing Q( t) is a "large" functio...
Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with del...
Mizel, On the stability of solutions of functional-differential equations. Arch. Rational Mech. Anal. 30, 173–196 (1968). Coleman, B. D., & V. J. Mizel, On thermodynamic conditions for the stability of evolving systems. Arch. Rational Mech. Anal. 29, 105–113 (1968). Coleman, B. ...