Neutral Differential Equations. \delta ,\sigma ,q\in c [t_ {0},\infty ), q ( t ) >0, \delta (. Equations with neutral type linear parts and nonlinear causal mappings are also considered.
Forced Oscillation of Solutions of a Fractional Neutral from file.scirp.org
The required results are obtained based on the fixed point theorem combined with the semigroup theory, fractional calculus and stochastic analysis. Equations in the form equations in the form x t − q t x τ t Delay equations with delays of the derivatives are referred to as neutral delay differential equations (nddes).
Sufficient Conditions For Controllability Of Neutral Delay Hilfer Fractional Differential Equations With Fractional Brownian Motion Are Established.
Skip to main content accessibility help we use cookies to distinguish you from other users and to provide you with a better experience on our websites. (1.1) d c 0 + α x (t) + h (t, x (t)) = a x (t) + b (t, x (t)) + σ (t, x (t)) d w (t) d t, t > 0, x (0) = ρ, where a ∈ r n × n, (w (t)) t ≥ 0 is a standard brownian motion on a probability space (ω, f t, p) for t > 0, with filtration f t ≔ ℱ t t. Oscillation theory for neutral differential equations with delay fills a vacuum in qualitative theory of functional differential equations of neutral type.
An Ordinary Differential System Is The Form ˙X(T).
The oscillatory behavior of the solutions of the neutral delay differential equation. The required results are obtained based on the fixed point theorem combined with the semigroup theory, fractional calculus and stochastic analysis. There are two kinds of neutral equations, one of them can be integrated leading to a term with a concentrated delay and an integral term;
Equations With Neutral Type Linear Parts And Nonlinear Causal Mappings Are Also Considered.
Delay equations with delays of the derivatives are referred to as neutral delay differential equations (nddes). We make the following assumptions: Moreover, we obtain criteria of an iterative nature.
The Second Type Which Is Considered In This Chapter Has A Derivative Involved Both Without A Delay And With One Or Several Delays.
The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type $$\left\{ {\begin{array}{*{20}c} {d_h x(t) = f(t,x_t ,d_h x_t ),} \\ {\left. However, as you have access to this content, a full pdf is available via the ‘save pdf’ action button. The suggested book deals with the stability of linear and nonlinear vector neutral type functional differential equations.
The Oscillatory Properties Of The Solutions Of The Type Of First Order Neutral Functional Differential Equations Applied In Chemomedical Problems Are Studied.
In this paper, we consider a weighted neutral functional differential equation of fractional order 0 < \alpha< 1 with nonzero initial values, infinite delay, and. Where p, τ, and a are positive constants and q ∊ c ( [t 0, ∞), ℝ + ), are studied. Neutral functional di ff erential equations have their own history.
