Results 61 to 70 of about 669 (121)
Reducible functional differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 1-27, 1985., 1985 This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations.
S. M. Shah, Joseph Wiener
wiley +1 more source
Stability of neutral delay differential equations modeling wave propagation in cracked media [PDF]
, 2014 International audiencePropagation of elastic waves is studied in a 1D medium containing N cracks modeled by nonlinear jump conditions. The case N = 1 is fully understood.
Junca, Stéphane, Lombard, Bruno
core +6 more sources
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
wiley +1 more source
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
doaj +1 more source
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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, 2015 . By applying the method of coincidence degree and constructing a suitable Lyapunov functional, some sufficient conditions are established for the existence and globally exponential stability of periodic solutions for a kind of impulsive fuzzy ...
Qianhong Zhang +2 more
semanticscholar +1 more source
HYERS-ULAM STABILITY OF SOME FREDHOLM INTEGRAL EQUATION
, 2015 We prove the Hyers-Ulam stability of some kinds of Fredholm integral equation. That is, if φ(t) is an approximate solution of a Fredholm integral equation, then there exists an exact solution of the differential equation near to φ(t).
L. Hua, J. Huang, Y. Li
semanticscholar +1 more source
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
doaj +1 more source
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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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
core +2 more sources