A Global Stability Criterion for Scalar Functional Differential Equations

A Global Stability Criterion for Scalar Functional Differential Equations

We consider scalar delay differential equations x′(t) = −δx(t)+f(t, xt) (∗) with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condition. The well-known Mackey–Glass-type equations, equations satisfying the Yorke condition, and equations with maxima all fall within our considerations. Here, we establish a criterion for the global asymptotical stability...

Global stability of the equilibrium for scalar delay differential equations

This version has a lot of inserted Comments to indicate what must be done and what will be in here when this is completed. [These Comments also note open questions, where possible, so for suggested results not noted as open one may assume the proofs are known, even if not yet included.] This was originally intended as a revised version of what became [5] before publication, then became comments...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

A Stability Criterion for Delay Differential Equations with Impulse Effects

In this paper, we prove that if a delay differential equation with impulse effects of the form x (t) = A(t)x(t) + B(t)x(t − τ) , t = θ i , ∆x(θ i) = C i x(θ i) + D i x(θ i−j), i ∈ N, verifies a Perron condition then its trivial solution is uniformly asymptotically stable.

Stability theorems for some functional differential equations