Effect of Delays on Functional Differential Equations
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TLDR
In this paper, the perturbed functional differential equation x (t) = L(x t ) + h(t ) is considered with the assumption that h is Lipschitzian in W 1,∞.About:
This article is published in Journal of Differential Equations.The article was published on 1976-03-01 and is currently open access. It has received 21 citations till now. The article focuses on the topics: Differential equation & First-order partial differential equation.read more
Citations
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On zeroes of some transcendental equations
TL;DR: Conditions de localisation des zeros des equations P(z)+Q(z)e −Tz = 0 dans le demi-plan gauche, P et Q etant des polynomes de degre n et m respectivement et T une constante non negative.
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Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
TL;DR: In this paper, it was shown that for delay differential equations and partial differential equations, any almost periodic solution has only finitely many rationally independent frequencies, thus extending results of Cartwright for ODE's.
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Stability and Bifurcation in Delay–Differential Equations with Two Delays
TL;DR: In this paper, a class of differential-difference equations with two delays is studied, and the stability of the bifurcating periodic solutions are determined by using the center manifold theorem and the normal form theory.
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A spectral element approach for the stability of delay systems
Firas A. Khasawneh,Brian P. Mann +1 more
TL;DR: In this article, a spectral element approach was proposed to study the stability and equilibria solutions of delay differential equations (DDEs) and compared with the conventional TFEA and Legendre collocation methods.
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On a two lag differential delay equation
TL;DR: In this paper, the non-linear differential difference equation of the form is investigated, with constant coefficients, and the special case in which the two delay terms are equally important in self damping, B = C, is investigated.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
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Ordinary differential equations
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.