Periodic solutions to a $p$-Laplacian neutral Duffing equation with variable parameter [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We study a type of $p$-Laplacian neutral Duffing functional differential equation with variable parameter to establish new results on the existence of $T$-periodic solutions.
Bo Du, Bo Sun
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Stability of simple periodic solutions of neutral functional differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2003 We study the stability property of a simple periodic solution of an autonomous neutral functional differential equation (NFDE) of the form $${d\over dt} D(x_t) = f (x_t).$$ A new proof based on local integral manifold theory and the implicit function ...
Z. Shao, Y. Lu
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Existence of fractional neutral functional differential equations
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R.P., Zhou, Yong, He, Yunyun
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A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 1917 For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N. +6 more
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Generalized Riesz basis property in the analysis of neutral type systems [PDF]
, 2003 International audienceThe functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M2 = Cn × L2(−1, 0;Cn) and prove that there exists a sequence of invariant finite-dimensional subspaces ...
Rabah, Rabah +2 more
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Asymptotic Stability of Neutral Set-Valued Functional Differential Equation by Fixed Point Method
Discrete Dynamics in Nature and Society, 2020 This paper studies a class of nonlinear neutral set-valued functional differential equations. The globally asymptotic stability theorem with necessary and sufficient conditions is obtained via the fixed point method.
Junyan Bao, Peiguang Wang
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Boundary Value Problems, 2019 This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo +3 more
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Mathematics, 2022 This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic Razumikhin-type theorem to investigate the exponential stability in the mean square sense of the Euler ...
Qi Wang, Huabin Chen, Chenggui Yuan
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A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation [PDF]
, 2009 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Chartbupapan, Watcharin +2 more
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