Results 61 to 70 of about 507 (97)
Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 4, Page 671-703, 1983., 1983 Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.
S. M. Shah, Joseph Wiener
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Yorke and Wright 3/2-stability theorems from a unified point of view [PDF]
, 2003 We consider a family of scalar delay differential equations $x'(t)=f(t,x_t)$, with a nonlinearity $f$ satisfying a negative feedback condition combined with a boundedness condition.
Aplicada Ii +4 more
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Mathematical model on influence of past experiences on present activities of human brain
Computational and Mathematical BiophysicsThis article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara +2 more
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On the stability of a Cauchy type functional equation
Demonstratio Mathematica, 2018 In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye +3 more
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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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On stability of cooperative and hereditary systems with a distributed delay
, 2015 We consider a system $\displaystyle \frac{dx}{dt}=r_1(t) G_1(x) \left[ \int_{h_1(t)}^t f_1(y(s))~d_s R_1 (t,s) - x(t) \right], \frac{dy}{dt}=r_2(t) G_2(y) \left[ \int_{h_2(t)}^t f_2(x(s))~d_s R_2 (t,s) - y(t)\right]$ with increasing functions $f_1$ and ...
Berezansky, Leonid, Braverman, Elena
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Feedback regulation of logistic growth
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 177-192, 1993.
K. Gopalsamy, Pei-Xuan Weng
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Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Nonautonomous Dynamical Systems, 2014 In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
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A Dynamic P53-MDM2 Model with Time Delay
, 2005 Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control.
Adimy +10 more
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Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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