Results 41 to 50 of about 875,467 (271)
Parabolic differential equations with bounded delay
Journal of Evolution Equations, 2022 AbstractWe show the continuous dependence of solutions of linear nonautonomous second-order parabolic partial differential equations (PDEs) with bounded delay on coefficients and delay. The assumptions are very weak: only convergence in the weak-* topology of delay coefficients is required. The results are important in the applications of the theory of
Marek Kryspin, Janusz Mierczyński
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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Deterministic Brownian motion generated from differential delay equations
, 2011 This paper addresses the question of how Brownian-like motion can arise from the solution of a deterministic differential delay equation. To study this we analytically study the bifurcation properties of an apparently simple differential delay equation ...
A. Lasota +6 more
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Asymptotic behavior of a third-order nonlinear neutral delay differential equation
, 2014 The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging technique, a new Philos-type criterion is obtained which ...
Ying Jiang, Tongxing Li
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Stability in the class of first order delay differential equations [PDF]
, 2016 The main aim of this paper is the investigation of the stability problem for ordinary delay differential equations. More precisely, we would like to study the following problem. Assume that for a continuous function a given delay differential equation is
Gselmann, Eszter, Kelemen, Anna
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Computation, 2023 In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath +2 more
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Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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Dynamics of a delay differential equation with multiple state-dependent delays
, 2012 We study the dynamics of a linear scalar delay differential equation $$\epsilon \dot{u}(t)=-\gamma u(t)-\sum_{i=1}^N\kappa_i u(t-a_i-c_iu(t)),$$ which has trivial dynamics with fixed delays ($c_i=0$).
Pp X +5 more
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An analysis on the stability of a state dependent delay differential equation
Open Mathematics, 2016 In this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term τ(u(t))=a+bu(t)c+bu(t).$\tau (u(t)) = \frac{{a + bu(
Erman Sertaç, Demir Ali
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Stability of Neutral Delay Differential Equations and Their Discretizations [PDF]
, 2014 Disertační práce se zabývá asymptotickou stabilitou zpožděných diferenciálních rovnic a jejich diskretizací. V práci jsou uvažovány lineární zpožděné diferenciální rovnice s~konstantním i neohraničeným zpožděním.
Dražková, Jana
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