Some functional inequalities and their Baire category properties.
Some functional inequalities and their Baire category properties. (Summary).
Some higher order complex vector functional equations
In the present paper some complex vector functional equations of higher order without parameters and with complex parameters are solved.
Some inequalities connected with the exponential function
The paper is devoted to some functional inequalities related to the exponential mapping.
Some logarithmic functional equations
The functional equation is solved for general solution. The result is then applied to show that the three functional equations , and are equivalent. Finally, twice differentiable solution functions of the functional equation are determined.
Some models of geometries and a functional equation
Some models of plane geometries and a functional equation
Some monotonicity properties and characterizations of the gamma function.
Some new discrete inequalities and their applications.
Some new discrete nonlinear delay inequalities and application to discrete delay equations.
Some new functional equations connected with characterization problems.
Some new inequalities for the gamma, beta and zeta functions.
Some nonlinear delay integral inequalities and their discrete analogues.
Some notes on oscillation of two-dimensional system of difference equations
Oscillatory properties of solutions to the system of first-order linear difference equations are studied. It can be regarded as a discrete analogy of the linear Hamiltonian system of differential equations. We establish some new conditions, which provide oscillation of the considered system. Obtained results extend and improve, in certain sense, results presented in Opluštil (2011).
Some open problems on the solutions of the delay difference equation .
Some Perturbation Results On Multivalued Difference Equations
Some properties of solutions of a class of nonlinear difference equations
Some properties of solutions of complex q-shift difference equations
Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.
Some properties of the jacobian sn z function.
Using some results of the theory of functional equations we deduce some properties of the Jacobian sn z function which seem to be new. Some functional equations have also been found which are fulfilled by the sn z function which the author did not find in the literature.
Some propositions related to a dilation theorem of W. Benz.