Résolutions de deux équations fonctionnelles proches de l'équation de Cauchy
Restricted homogeneity implies bi-additivity
Results and conjectures about order Lyness' difference equation in , with a particular study of the case .
Results on the deficiencies of some differential-difference polynomials of meromorphic functions
In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c). The main results of this paper are listed as follows: Let f(z) be a meromorphic function of finite order satisfying lim sup r→+∞ T(r, f) T(r, f ′ ) <+∞, and c be a non-zero complex constant, then δ(∞, f(z)m f(z+c)f′(z))≥δ(∞, f′) and δ(∞,f(z+c)nf′(z))≥ δ(∞, f′). We also investigate the value...
Resurgence relations for classes of differential and difference equations
Reverse functional inequalities and their applications to nonlinear elliptic boundary value problems.
Riccati matrix differential equation and the discrete order preserving property
In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential equation.
Röhmel's equation for quadratic forms.
Roots and logarithms of automorphisms of complete local rings.
Roots, iterations and logarithms of formal automorphisms.
Roots of formal power series in one variable.
Ruelle operator with nonexpansive IFS
The Ruelle operator and the associated Perron-Frobenius property have been extensively studied in dynamical systems. Recently the theory has been adapted to iterated function systems (IFS) , where the ’s are contractive self-maps on a compact subset and the ’s are positive Dini functions on X [FL]. In this paper we consider Ruelle operators defined by weakly contractive IFS and nonexpansive IFS. It is known that in such cases, positive bounded eigenfunctions may not exist in general. Our theorems...