Results 21 to 30 of about 5,539,774 (289)
Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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On exponential stability of functional differential equations with variable impulse perturbations
, 2014 We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov ...
Bonotto, E. M. +2 more
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Reducible functional differential equations
International Journal of Mathematics and Mathematical Sciences, 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 ...
S. M. Shah, Joseph Wiener
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Asymptotic relationships between two higher order ordinary differential equations
International Journal of Mathematics and Mathematical Sciences, 1983 Some asymptotic relationships between the two ordinary differential equations (1) x(n)+p1(t)x(n−1)+…+pn(t)x=0, (2) y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y), are studied ...
Takasi Kusano
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Oscillation of functional differential equations
Mathematical and Computer Modelling, 2005 Some new criteria for the oscillation of functional differential equations of the form, d/dt[1/a(n-1)(t) d/dt q (t) f (x [g (t)]) = 0, dt a._1 (t) Tt -a,,-2 (t) Tt -al(t) dt are presented in this paper. @ 2005 Elsevier Ltd. All rights reserved.
Agarwal, R. P. +3 more
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RADIATIVE DAMPING AND FUNCTIONAL DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 2011 We propose a general technique to solve the classical many-body problem with radiative damping. We modify the short-distance structure of Maxwell electrodynamics. This allows us to avoid runaway solutions as if we had a covariant model of extended particles.
Raju, Suvrat, Raju, C. K.
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Measure functional differential equations and functional dynamic equations on time scales
, 2012 We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations ...
Mesquita, Jaqueline Godoy +5 more
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Time averaging for functional differential equations
Journal of Applied Mathematics, 2003 We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
Mustapha Lakrib
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Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2005 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi +3 more
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +3 more
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