A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
doaj +5 more sources
Existence results for abstract partial neutral integro-differential equation with unbounded delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.
Eduardo Hernandez +2 more
doaj +6 more sources
On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments [PDF]
Journal of Function Spaces, 2016 This paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments.
Youliang Fu +3 more
doaj +2 more sources
On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
E-Journal of Analysis and Applied MathematicsSome results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
doaj +2 more sources
Communications in Advanced Mathematical Sciences, 2021 We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
doaj +1 more source
Modified logistic differential equation of neutral type with time delay
Lietuvos Matematikos Rinkinys, 2003 The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
Donatas Švitra
doaj +5 more sources
Axioms, 2023 In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and ...
Osama Moaaz, Abtehal E. Alhgilan
doaj +1 more source
Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj +1 more source
Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
Fractal and Fractional, 2023 In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the ...
Chandrabose Sindhu Varun Bose +4 more
doaj +1 more source
Approximation scheme of higher accuracy of differential equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 The properties of solution of initial problem for differential-dierence equation of neutral type were researched. An approximate estimate of element delay was specied by scheme ofhigher accuracy.
S. A. Pernay, I. M. Cherevko
doaj +1 more source