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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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
R. Agarwal, O. Bazighifan, M. Ragusa
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A new fixed point algorithm for finding the solution of a delay differential equation
, 2020 In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms. We present a numerical example followed by graphs to validate our claim.
C. Garodia, I. Uddin
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Results on controllability of non-densely characterized neutral fractional delay differential system
Evolution Equations and Control Theory, 2021 This work establishes the controllability of nondense fractional neutral delay differential equation under Hille-Yosida condition in Banach space. The outcomes are derived with the aid of fractional calculus theory, semigroup operator theory and Schauder
K. Jothimani +4 more
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On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations
Mathematics, 2021 In this paper, effective oscillation criteria for third-order delay differential equations of the form, r2r1y′′′(t)+q(t)y(τ(t))=0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established.
I. Jadlovská +3 more
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On nonlinear delay differential equations [PDF]
Transactions of the American Mathematical Society, 1994 We examine qualitative behaviour of delay differential equations of the form \[ y ′ ( t ) = h ( y ( t ) , y ( q t ) ) , y ( 0 ) = y 0
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A new numerical method to solve pantograph delay differential equations with convergence analysis
, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
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The Spectrum of Delay Differential Equations with Large Delay
SIAM Journal on Mathematical Analysis, 2011 We show that the spectrum of linear delay differential equations with large delay splits into two different parts. One part, called the strong spectrum, converges to isolated points when the delay parameter tends to infinity. The other part, called the pseudocontinuous spectrum, accumulates near criticality and converges after rescaling to a set of ...
Lichtner, Mark +2 more
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Mathematics, 2023 The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah +3 more
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Representation of solution for a linear fractional delay differential equation of Hadamard type
Advances in Differential Equations, 2019 This paper is devoted to seeking the representation of solutions to a linear fractional delay differential equation of Hadamard type. By introducing the Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we ...
Peng Yang, Jinrong Wang, Yong Zhou
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