Solutions of Bounded Variation of a Linear Functional Equation.
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case.
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case. (Short Communication).
Solutions of Bounder Variation of a Linear Homogeneous Functional Equation
Solutions of .
Solutions of the difference equation .
Solutions of the Schröder equation
Solutions rationelles de certaines équations fonctionelles.
Solutions to conjectures on a nonlinear recursive equation
We obtain solutions to some conjectures about the nonlinear difference equation More precisely, we get not only a condition under which the equilibrium point of the above equation is globally asymptotically stable but also a condition under which the above equation has a unique positive cycle of prime period two. We also prove some further results.
Solutions with big graph of iterative functional equations of the second order.
Solutions with big graph of iterative functional equations of the first order
We obtain a result on the existence of a solution with big graph of functional equations of the form g(x,𝜑(x),𝜑(f(x)))=0 and we show that it is applicable to some important equations, both linear and nonlinear, including those of Abel, Böttcher and Schröder. The graph of such a solution 𝜑 has some strange properties: it is dense and connected, has full outer measure and is topologically big.
Solutions with big graph of iterative functional equations of higher orders
Solvability and algorithms for functional equations originating from dynamic programming.
Solvability conditions for some difference operators.
Solvability of a higher-order nonlinear neutral delay difference equation.
Solvability of a recursive functional equation in the sequence Banach space.
Solvability of the functional equation f = (T-I)h for vector-valued functions
Let X be a reflexive Banach space and (Ω,,μ) be a probability measure space. Let T: M(μ;X) → M(μ;X) be a linear operator, where M(μ;X) is the space of all X-valued strongly measurable functions on (Ω,,μ). We assume that T is continuous in the sense that if (fₙ) is a sequence in M(μ;X) and in measure for some f ∈ M(μ;X), then also in measure. Then we consider the functional equation f = (T-I)h, where f ∈ M(μ;X) is given. We obtain several conditions for the existence of h ∈ M(μ;X) satisfying...
Solving linear functional equations with computer.
Solving some functional and operational equations.
Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators
In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].