Weighted Fractional Neutral Functional Differential Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2018 Summary: In this paper, we consider a weighted neutral functional differential equation of fractional order ...
Abdo, Mohammed S., Panchal, Satish K.
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 2021 The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Ravi P. Agarwal +2 more
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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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Weyl almost anti-periodic solution to a neutral functional semilinear differential equation
Electronic Research Archive, 2023 In this work, we first propose a concept of Weyl almost anti-periodic functions. Then, we make use of the contraction mapping principle and analysis techniques to research the existence of a unique Weyl almost anti-periodic solution to a neutral ...
Weiwei Qi , Yongkun Li
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Bernstein collocation method for neutral type functional differential equation
Mathematical Biosciences and Engineering, 2021 Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
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Oscillation of second‐order neutral differential equations [PDF]
Mathematische Nachrichten, 2015 We study oscillatory behavior of a class of second‐order neutral differential equations under the assumptions that allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Illustrative examples are provided.
Li, Tongxing, Rogovchenko, Yuriy V.
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Neutral operator with variable parameter and third-order neutral differential equation [PDF]
, 2014 Additional file 1. The TRS sequences of structural genes in the HP-PRRSV/SD16 genome (GenBank: JX087437)
Chengbao Wang (4349740) +9 more
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Attractivity for neutral functional differential equations
Discrete & Continuous Dynamical Systems - B, 2013 We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying delays. The two main results di er in smoothness properties of delay functions.
Caraballo Garrido, Tomás, Kiss, Gábor
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Solutions of the neutral differential-difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
International Journal of Mathematics and Mathematical Sciences, 1992 Particular solutions and complementary functions are obtained for the functional equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t) in the forms of a convolution type integral and of infinite series.
Ll. G. Chambers
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