Results 21 to 30 of about 57,536 (162)

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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Oscillation of third-order functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2010
The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation \begin{equation*}\label{E0} \left[a(t)\left[x''(t)\right]^{\gamma}\right]'+q(t)f(x\left[\tau(t)\right])=0.
Blanka Baculíková, Jozef Džurina
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Dynamics of cell growth: Exponential growth and division after a minimum cell size

Partial Differential Equations in Applied Mathematics
In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
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Total stability in abstract functional differential equations with infinite delay

Electronic Journal of Qualitative Theory of Differential Equations, 2000
For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential ...
Y. Hino, Satoru Murakami
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On functional differential equations associated to controlled structures with propagation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The method of integration along the characteristics has turned to be quite fruitful for qualitative analysis of physical and engineering systems described by large classes of partial differential equations of hyperbolic type in the plane (time and one ...
Vladimir Rasvan
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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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Uncertainty functional differential equations for finance [PDF]

Surveys in Mathematics and its Applications, 2010
In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.
Iuliana Carmen Bărbăcioru
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Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

Abstract and Applied Analysis, 2000
We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the ...
Bernd Aulbach, Nguyen Van Minh
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Green’s Functions for Reducible Functional Differential Equations [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2016
Preprint
Cabada, Alberto, Tojo, F. Adrián F.
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Functional Solutions of Stochastic Differential Equations

Mathematics
We present an integration condition ensuring that a stochastic differential equation dXt=μ(t,Xt)dt+σ(t,Xt)dBt, where μ and σ are sufficiently regular, has a solution of the form Xt=Z(t,Bt).
Imme van den Berg
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