Exponential stability of dynamic equations on time scales.
Exponential-cosine operator-valued functional equation in the strong operator topology.
Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact
We show that discrete exponentials form a basis of discrete holomorphic functions on a finite critical map. On a combinatorially convex set, the discrete polynomials form a basis as well.
Exposé des méthodes en Mathématiques, d'après Wronski (suite)
Expression de la différence d'ordre nième d'une fonction, au moyen de la dérivée du même ordre de cette fonction
Expressions of solutions for a class of differential equations.
Extended stability problem for alternative Cauchy-Jensen mappings.
Extending generalized Fibonacci sequences and their Binet-type formula.
Extension of additive functionals and semicharacters on commutative semigroups.
Extension of the Riesz Representation Theorem and Solution of the Maxwell-Boltzmann Functional Equation. (Short Communication).
Extension of the Riesz Representation Theorem and Solution of the Maxwell Functional Equation.
Extension theorems for integral representations of solutions of a functional eqaution.
Extensions of Popoviciu's inequality using a general method.
Extinction in nonautonomous discrete Lotka-Volterra competitive system with pure delays and feedback controls.
Extremal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales.
Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm
We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
Faà di Bruno's formula and nonhyperbolic fixed points of one-dimensional maps.
Factoring biquadratic maps on modules.
Factoring linear differential operators on measure chains.
Factorization of rational matrix functions and difference equations
In the beginning of the twentieth century, Plemelj introduced the notion of factorization of matrix functions. The matrix factorization finds applications in many fields such as in the diffraction theory, in the theory of differential equations and in the theory of singular integral operators. However, the explicit formulas for the factors of the factorization are known only in a few classes of matrices. In the present paper we consider a new approach to obtain the factorization of a rational matrix...