Exposé des méthodes en Mathématiques, d'après Wronski (suite)
Extension of Liapunov theory to five-point boundary value problems for third order differential equations.
Extension of the Bernstein condition to systems of ordinary differential equations of general form.
Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays
The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
Extension of the method of quasilinearization for stochastic initial value problems.
Extensions of the HHT- method to differential-algebraic equations in mechanics.
External stabilization of discontinuous systems and nonsmooth control Lyapunov-like functions.
Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies.
Extinction in a generalized Lotka-Volterra predator-prey model.
Extinction in nonautonomous Kolmogorov systems
We consider nonautonomous competitive Kolmogorov systems, which are generalizations of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give an average condition which guarantees that all but one of the species are driven to extinction.
Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]....
Extrait d'une Lettre à M. Hermite, relative à l'application des fonctions elliptiques à la théorie des perturbations.
Extrait d'une Lettre adressée à M. Hermite.
Extrapolation at Stiff Differential Equations.
Extrapolation methods to solve non-autonomous retarded partial differential equations
Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.
Extrapolation of finite element solutions on non-uniform quadrilateral meshes
Extrapolation with spline-collocation methods for two-point boundary-value problems II: C2-cubics.
Extrapolation with spline-collocation methods for two-point boundary value problems I: Proposals and justifications.
Extrapolation with spline-collocation methods for two-point boundary value problems I: Proposals and justifications. (Short Communication).
Extremal properties of distance-based graph invariants for -trees
Sharp bounds on some distance-based graph invariants of -vertex -trees are established in a unified approach, which may be viewed as the weighted Wiener index or weighted Harary index. The main techniques used in this paper are graph transformations and mathematical induction. Our results demonstrate that among -trees with vertices the extremal graphs with the maximal and the second maximal reciprocal sum-degree distance are coincident with graphs having the maximal and the second maximal reciprocal...