Solutions of th-order boundary value problem for difference equation via variational method.
Solutions of a functional equation in a special class of functions
Solutions of a system of functional equations in some class functions.
Solutions of a system of functional equations in some classes of functions. (Short Communication).
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.