Results 181 to 190 of about 45,401 (204)
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Exact regions of oscillation for a neutral differential equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000This paper is concerned with a neutral differential equation with four constant coefficients, one delay and one advancement. By means of the theory of envelopes, we consider all possible values of the parameters involved in the equation and obtain a complete set of necessary and sufficient conditions for all solutions to be oscillatory.
Cheng, S. S., Lin, Y. Z.
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PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Journal of the London Mathematical Society, 2002The paper concerns the existence, uniqueness and global attractivity of periodic solutions to neutral functional-differential equations with monotone semiflows. The proofs are based on the theory established by Wu and Freedman for monotone semiflow generated by neutral functional-differential equations and Krasnosel'skii's fixed-point theorem.
Wang, Lianglong +2 more
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Zero-Hopf Calculations for Neutral Differential Equations
Journal of Dynamics and Differential Equations, 2023The paper focusses on necessary conditions to guarantee the existence of the zero-Hopf singularity for differential equations of neutral type. Consider a neutral functional differential equation \[ \dot{z}(t) +E \dot{z}(t-\tau)= A(\epsilon)z(t)+B(\epsilon)z(t-\tau)+F(z(t),z(t-\tau),\epsilon)\tag{1} \] where \( z\in \mathbb{R}^n, \epsilon \in \mathbb{R}^
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POSITIVE SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Acta Mathematica Scientia, 1996The paper contains sufficient conditions under which the neutral functional differential equation \[ {d\over dx} \left[ x(t)+ \int^t_c x(s)+ d_s \mu(t,s) \right] +\int^t_c f\bigl( t,x(s) \bigr) d_s n(t,s) =0,\;t>t_0\leq c \tag{1} \] has a positive solution on \([c,+\infty)\). The following examples are based on his two theorems. The equation \[ {d\over
Huang, Zhenxun, Gao, Guozhu
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A remark on oscillatory results for neutral differential equations
Applied Mathematics Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Chatzarakis +2 more
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Linearized Oscillations for Differential Equations of Neutral Type
Mathematische Nachrichten, 1995AbstractAbstract.Consider the nonlinear neutral delay differential equationmagnified imagewithP(t),Q(t) continuous, τ > 0, σ> 0. We obtain new sufficient conditions for the oscillation of all solutions by an associate linear equation, and thereby establish some new criteria as proposed in an earlier open problem.
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Neutral Functional Differential Equations
1999The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
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Positive solutions of neutral delay differential equation [PDF]
, 2002 Let \(I:=[t_0,T ...
Péics Hajnalka, Karsai János
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A Neutral Functional Differential Equation of Lurie Type
SIAM Journal on Mathematical Analysis, 1980The problem of Lurie is posed for systems described by a functional differential equation of neutral type. Sufficient conditions are obtained for absolute stability for the controlled system if it is assumed that the uncontrolled plant equation is uniformly asymptotically stable. Both the direct and indirect control cases are treated.
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 2021Ravi P Agarwal +2 more
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