Stability of third order neutral delay differential equations

Domoshnitsky, Alexander; Volinsky, Irina; Levi, Shai; Shemesh, Shirel

doi:10.1063/1.5127464

Cited by 8 publications

(5 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2. Extend the estimates of solutions to a vector DDE, or to higher order neutral equations, for recent results on third order neutral equations see [7]. Consider other types of neutral equations, such as equations with a distributed delay, and stochastic differential equations.…”

Section: Examples and Discussionmentioning

confidence: 99%

Solution estimates and stability tests for linear neutral differential equations

Berezansky

Braverman

2020

Applied Mathematics Letters

View full text Add to dashboard Cite

Explicit exponential stability tests are obtained for the scalar neutral differential equatioṅ x(t) − a(t)ẋ(g(t)) = − m k=1 b k (t)x(h k (t)), together with exponential estimates for its solutions. Estimates for solutions of a non-homogeneous neutral equation are also obtained, they are valid on every finite segment, thus describing both asymptotic and transient behavior. For neutral differential equations, exponential estimates are obtained here for the first time. Both the coefficients and the delays are assumed to be measurable, not necessarily continuous functions.

show abstract

Section: Examples and Discussionmentioning

confidence: 99%

Solution estimates and stability tests for linear neutral differential equations

Berezansky

Braverman

2020

Applied Mathematics Letters

View full text Add to dashboard Cite

show abstract

“…In last years, the asymptotic properties of solutions of differential equations has been the subject of intensive study (see ). The model of human balancing is considered in [21][22][23] where results on stability are presented.…”

Section: Definitionmentioning

confidence: 99%

An Improved Criterion for the Oscillation of Fourth-Order Differential Equations

2020

View full text Add to dashboard Cite

The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ‴ ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w ν : = y ν + p ν y σ ν . By using integral averaging technique, we get conditions to ensure oscillation of solutions of this equation. The obtained results improve and generalize the earlier ones; finally an example is given to illustrate the criteria.

show abstract

“…The stability of third order differential equations is presented in [10]. The stability of third order neutral delay differential equations is presented in [11].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of n-Order Function Differential Equations by Parametric Distributed Control Function with Palindromic Parameters Set

Volinsky

Shklyar

2023

Mathematics

Self Cite

View full text Add to dashboard Cite

Stabilization by a parametric distributed control function plays a very important role in aeronautics, aerospace and physics. Choosing the right parameters is necessary for handling the distributed control. In the current paper, we introduce stabilization criteria for an n-order functional-differential equation with a parametric distributed control function in n-term integrals and 2n parameter sets. In our article, we use properties of unimodal and log-concave polynomials.

show abstract

Stability of third order neutral delay differential equations

Cited by 8 publications

References 43 publications

Solution estimates and stability tests for linear neutral differential equations

Solution estimates and stability tests for linear neutral differential equations

An Improved Criterion for the Oscillation of Fourth-Order Differential Equations

Stabilization of n-Order Function Differential Equations by Parametric Distributed Control Function with Palindromic Parameters Set

Contact Info

Product

Resources

About