Compact constant mean curvature surfaces with low genus.
Comparison and oscillation results for delay difference equations with oscillating coefficients.
Comparison results and linearized oscillations for higher-order difference equations.
Comparison theorems for half-linear second order difference equations
Competitive Exclusion in a Discrete Stage-Structured Two Species Model
We develop a stage-structured model that describes the dynamics of two competing species each of which have sexual and clonal reproduction. This is typical of many plants including irises. We first analyze the dynamical behavior of a single species model. We show that when the inherent net reproductive number is smaller than one then the population will go to extinction and if it is larger than one then an interior equilibrium exists and it is globally asymptotically stable. Then we analyze...
Complete asymptotic analysis of a nonlinear recurrence relation with threshold control.
Complete asymptotic and bifurcation analysis for a difference equation with piecewise constant control.
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
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...
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.
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.
Convergence and periodicity of solutions for a class of difference systems.
Convergence of nonautonomous evolutionary algorithm.
Convergence results on a second-order rational difference equation with quadratic terms.