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
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Oscillation of Nonlinear Neutral Delay Differential Equations [PDF]
, 2008 2000 Mathematics Subject Classification: 34K15, 34C10. In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C([t0,∞), [0,∞)) and f ∈ C([t0,∞) ×R,R).
Elabbasy, E. M., Hassan, T. S.
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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
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Neutral delay differential equation Kerr cavity model
, 2023 9 pages, 9 ...
Vladimirov, Andrei G. +1 more
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Oscillation of Even-Order Neutral Delay Differential Equations [PDF]
Advances in Difference Equations, 2010 By employing the Riccati transformation technique, the authors establish some new oscillation criteria for even order neutral delay differential equations. An illustrative example is given.
Ping Zhao +3 more
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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
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Oscillation of Impulsive Neutral Delay Differential Equations
Journal of Mathematical Analysis and Applications, 2002 Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R. +2 more
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Random neutral semilinear differential equations with delay
Differential Equations & Applications, 2022 Summary: In this paper, we present the existence and uniqueness of a random mild solution of a system of neutral semilinear random differential equations with delay. Also the Lipschitz regularity of the solution is presented. The results are based on random versions of Perov's fixed point theorem. Finally, some examples are given to illustrate our main
Bellaoui, O. K., Baliki, A., Ouahab, A.
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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
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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
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