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...
Factorization of the hypergeometric-type difference equation on the uniform lattice.
Familles fuchsiennes d’équations aux (-)différences et confluence
On commence par présenter une méthode de résolution d’une famille de systèmes fuchsiens d’opérateurs de pseudo-dérivations associées à une famille à deux paramètres d’homographies, qui unifie et généralise les cas connus des systèmes différentiels, aux différences ou aux -différences. Nous traitons ensuite dans cette famille des problèmes de confluence que l’on peut voir comme des problèmes de continuité en ces deux paramètres.
Finite difference schemes with monotone operators.
Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations
Firstly we study the growth of meromorphic solutions of linear difference equation of the form where and are meromorphic functions of finite logarithmic order,
First- and second-order dynamic equations with impulse.
Fixed point methods for the generalized stability of functional equations in a single variable.
Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras.
Fixed points and random stability of a generalized Apollonius type quadratic functional equation.
Fixed points and stability for functional equations in probabilistic metric and random normed spaces.
Fixed points and stability of a generalized quadratic functional equation.
Fixed points and stability of the Cauchy functional equation in -algebras.
Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces.
Fixed points and the stability of Jensen's functional equation.
Fixed points, inner product spaces, and functional equations.
Fixed points of meromorphic functions and of their differences and shifts
Let f(z) be a finite order transcendental meromorphic function such that λ(1/f(z)) < σ(f(z)), and let c ∈ ℂ∖0 be a constant such that f(z+c) ≢ f(z) + c. We mainly prove that , where τ(g(z)) denotes the exponent of convergence of fixed points of the meromorphic function g(z), and σ(g(z)) denotes the order of growth of g(z).