Étude qualitative des solutions réelles d'une équation différentielle liée à l'équation de Ginzburg-Landau
Euler approximation of nonconvex discontinuous differential inclusions.
Euler case for a general fourth-order differential equation.
Euler polygons and Kneser's theorem for solutions of differential equations in Banach spaces
Euler scheme for SDEs with non-Lipschitz diffusion coefficient : strong convergence
We consider one-dimensional stochastic differential equations in the particular case of diffusion coefficient functions of the form , . In that case, we study the rate of convergence of a symmetrized version of the Euler scheme. This symmetrized version is easy to simulate on a computer. We prove its strong convergence and obtain the same rate of convergence as when the coefficients are Lipschitz.
Euler scheme for SDEs with non-Lipschitz diffusion coefficient: strong convergence
We consider one-dimensional stochastic differential equations in the particular case of diffusion coefficient functions of the form |x|α, α ∈ [1/2,1). In that case, we study the rate of convergence of a symmetrized version of the Euler scheme. This symmetrized version is easy to simulate on a computer. We prove its strong convergence and obtain the same rate of convergence as when the coefficients are Lipschitz.
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems.
Euler's integral transformation for systems of linear differential equations with irregular singularities
Dettweiler and Reiter formulated Euler's integral transformation for Fuchsian systems of differential equations and applied it to a definition of the middle convolution. In this paper, we formulate Euler's integral transformation for systems of linear differential equations with irregular singularities. We show by an example that the confluence of singularities is compatible with Euler's integral transformation.
Euler-Verfahren für neutrale Funktional-Differentialgleichungen.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Evanescent solutions for linear ordinary differential equations.
Even order differential equations with measures as coefficients
Even order self adjoint time scale problems.
Even periodic solutions of higher order duffing differential equations
By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
Event-triggered design for multi-agent optimal consensus of Euler-Lagrangian systems
In this paper, a distributed optimal consensus problem is investigated to achieve the optimization of the sum of local cost function for a group of agents in the Euler-Lagrangian (EL) system form. We consider that the local cost function of each agent is only known by itself and cannot be shared with others, which brings challenges in this distributed optimization problem. A novel gradient-based distributed continuous-time algorithm with the parameters of EL system is proposed, which takes the distributed...
Eventual disconjugacy of for every
The work characterizes when is the equation eventually disconjugate for every value of and gives an explicit necessary and sufficient integral criterion for it. For suitable integers , the eventually disconjugate (and disfocal) equation has 2-dimensional subspaces of solutions such that , , , . We characterize the “smallest” of such solutions and conjecture the shape of the “largest” one. Examples demonstrate that the estimates are sharp.
Eventually positive solutions for nonlinear impulsive differential equations with delays
Several recent oscillation criteria are obtained for nonlinear delay impulsive differential equations by relating them to linear delay impulsive differential equations or inequalities, and then comparison and oscillation criteria for the latter are applied. However, not all nonlinear delay impulsive differential equations can be directly related to linear delay impulsive differential equations or inequalities. Moreover, standard oscillation criteria for linear equations cannot be applied directly...
Everted equilibria of a spherical cap : a singular perturbation method
Evolution differential equations in Fréchet sequence spaces
We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.
Evolution equations governed by families of weighted operators