Analytic solutions of nonlinear Cournot duopoly game.
Analytic Solutions of second order Nonlinear Difference Equations all of whose Eigenvalues are 1
Analytical formulas for solutions of linear difference equations.
Annular bounds for polynomial zeros and Schur stability of difference equations.
Applications of certain R-families
Applications of decomposable measures on nonlinear difference equations.
Applications of Extensions of Additive Functions.
Applications of Langenhop inequality to difference equations: Lower bounds and oscillation.
Applications of the -adic Nevanlinna theory to functional equations
Let be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the -adic Nevanlinna theory to functional equations of the form , where , are meromorphic functions in , or in an “open disk”, satisfying conditions on the order of its zeros and poles. In various cases we show that and must be constant when they are meromorphic in all , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...
Applications of the zero-one law to problems connected with Cauchy's functional equation.
Approximate behavior of bi-quadratic mappings in quasinormed spaces.
Approximate homomorphisms.
Approximate solutions of the generalized Goła̧b-Schinzel equation.
Approximate tri-quadratic functional equations via Lipschitz conditions
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
Approximately -Jordan homomorphisms on Banach algebras.
Approximately partial ternary quadratic derivations on Banach ternary algebras.
Approximately quadratic mappings on restricted domains.
Approximation of a mixed functional equation in quasi-Banach spaces.
Approximation of generalized homomorphisms in quasi-Banach algebras.
Approximation of generalized left derivations.