Results 51 to 60 of about 182,959 (213)

$G$-Convergence of Linear Differential Equations [PDF]

Zeitschrift für Analysis und ihre Anwendungen, 2014
We discuss G -convergence of linear integro-differential-algebraic equations in Hilbert spaces. We show under which assumptions it is generic for the limit equation to exhibit memory effects.
openaire   +3 more sources

Asymptotic formulas for a scalar linear delay differential equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound.
István Győri, Mihály Pituk
doaj   +1 more source

An integral equation associated with linear homogeneous differential equations

International Journal of Mathematics and Mathematical Sciences, 1986
Associated with each linear homogeneous differential equation y(n)=∑i=0n−1ai(x)y(i) of order n on the real line, there is an equivalent integral equation f(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]du which is satisfied by each solution f(x) of ...
A. K. Bose
doaj   +1 more source

Linear Differential Operators for Polynomial Equations

Journal of Symbolic Computation, 2002
Let \(k_0\) be a number field and \(\overline{k_0}\) be its algebraic closure. Let \(P\in k_0(x)[y]\) be a squarefree polynomial in \(y\). The derivation \(\delta=\frac d{dx}\) extends uniquely to the algebraic closure \(\overline{k_0(x)}\) of \(k_0(x)\).
Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer   +3 more
openaire   +2 more sources

Linear Analysis of an Integro-Differential Delay Equation Model

International Journal of Differential Equations, 2018
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
doaj   +1 more source

Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems

, 2002
This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and ...
Owens, D H, D. H. Owens, Rogers, E, Owens, D.H., E. Rogers, Rogers, E.   +5 more
core   +1 more source

Variational method and conjugacy criteria for half-linear differential equations [PDF]

, 2013
summary:We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy ...
Chvátal, Martin, Došlý, Ondřej, Ondřej Došlý, Martin Chvátal   +3 more
core   +1 more source

On a representation of linear differential equations

Mathematical and Computer Modelling, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications

, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X., , NSF of Guangdong Province (Funder), Mao, Xuerong, Yin, J., NSF of Guangdong Province (Funder), Yin, Juliang   +5 more
core   +1 more source

Euler Type Half-Linear Differential Equation with Periodic Coefficients

Abstract and Applied Analysis, 2013
We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
doaj   +1 more source