Conditional function equations and orthogonal additivity.
Conditions for the oscillation of solutions of iterative equations.
Condizioni di ridondanza per l'equazione funcionale f(k(t)+h(t)) = f(k(t))+f(h(t)).
In this note we study questions of redundancy concerning the functional equation f(h(x)+k(x)) = f(h(x))+f(k(x)), where h and k are given functions and f is the unknown function.
Conitnuous increasing weakly bisymmetric groupoids and quasi-groups in .
Conjugacy criteria for second order linear difference equations
We establish conditions which guarantee that the second order difference equation possesses a nontrivial solution with at least two generalized zero points in a given discrete interval
Conjugacy of P-configurations and nonlinear solutions to a certain conditional Cauchy equation.
Conjugate sequences in a Fibonacci-Lucas sense and some identities for sums of powers of their elements.
Conjugation to a shift and the splitting of invariant manifolds
We give sufficient conditions for a diffeomorphism in the plane to be analytically conjugate to a shift in a complex neighborhood of a segment of an invariant curve. For a family of functions close to the identity uniform estimates are established. As a consequence an exponential upper estimate for splitting of separatrices is established for diffeomorphisms of the plane close to the identity. The constant in the exponent is related to the width of the analyticity domain of the limit flow separatrix....
Conservation laws of discrete Korteweg-de Vries equation.
Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs
This paper deals with the numerical solution of nonlinear Black-Scholes equation modeling European vanilla call option pricing under transaction costs. Using an explicit finite difference scheme consistent with the partial differential equation valuation problem, a sufficient condition for the stability of the solution is given in terms of the stepsize discretization variables and the parameter measuring the transaction costs. This stability condition is linked to some properties of the numerical...
Constructing means on certain continua and functional equations.
Constructing means on certain continua and functional equations. (Short Communication).
Construction of almost periodic sequences with given properties.
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay.
Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.
Continued fractions and the fundamental equation of information.
Continuity properties of convex-type set-valued maps.
Continuous dependence and differentiation of solutions of finite difference equations.
Continuous dependence on parameters for second order discrete BVP’s
Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.
Continuous functions that conjugate trapezoid functions.