Results 11 to 20 of about 105,870 (288)
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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Axioms, 2023 In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then ...
Amany Nabih +3 more
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Oscillation criteria for second order superlinear neutral delay differential equations [PDF]
, 2004 New oscillation criteria for the second order nonlinear neutral delay differential equation $[y(t)+p(t)y(t-\tau )]^{^{\prime \prime}}+q(t)\,f(y(g(t)))=0$, $t\geq t_{0}$ are given.
Manojlović, Jelena, Saker, Samir
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Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation
Mathematics, 2021 In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0t((ut+a1tug0t)′)β)′+a2tuβg1t=0, where t≥t0, are established.
Awatif A. Hindi +4 more
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Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method [PDF]
, 2015 The numerical solution of neutral delay differential equation (NDDE) with variable step size implementation in multistep block method is addressed in this paper.
Abdul Aziz, Nurul Huda +1 more
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Hopf bifurcation analysis of scalar implicit neutral delay differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Hopf bifurcation analysis is conducted on a scalar implicit Neutral Delay Differential Equation (NDDE) by means of the extension of two analytical methods: 1) center manifold reduction combined with normal form theory; 2) method of multiple scales.
Li Zhang, Gábor Stépán
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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 2021 In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
Osama Moaaz +4 more
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Stability and boundedness of nonautonomous neutral differential equation with delay [PDF]
Mathematica Moravica, 2020 We consider the nonautonomous neutral differential equation with delay h p(t) q(t) x(t) + b1x(t - r1) 0 0i0 + a(t) x 00(t) + b2x 00(t - r2) +b(t) x 0 (t) + b3x 0 (t - r3) + c(t)f(x(t - s)) = e(t, x, x0 , x 00).
Remili Moussadek, Oudjedi Linda D.
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Mathematics, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
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Ain Shams Engineering Journal, 2015 In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy +3 more
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