Christensen measurable solutions of generalized Cauchy functional equations. (Short Communications).
Classification and existence of positive solutions to nonlinear dynamic equations on time scales.
Classification of nonoscillatory solutions of higher order neutral type difference equations
The authors consider the difference equation where , , , , , and is a sequence of integers with and . They obtain results on the classification of the set of nonoscillatory solutions of () and use a fixed point method to show the existence of solutions having certain types of asymptotic behavior. Examples illustrating the results are included.
Classification of solutions of delay difference equations.
Classification rationnelle et confluence des systèmes aux différences singuliers réguliers
En choisissant des “caractères” et des “logarithmes”, méromorphes sur , construits à l’aide de la fonction Gamma d’Euler, et en utilisant des séries de factorielles convergentes, nous sommes en mesure, dans une première partie, de donner une “forme normale” pour les solutions d’un système aux différences singulier régulier. Nous pouvons alors définir une matrice de connexion d’un tel système. Nous étudions ensuite, suivant une idée de G.D. Birkhoff, le lien de celles-ci avec le problème de la classification...
Cliff functions - a tool for treating sequences of composed functions.
Cliff functions - a tool for treating sequences of composed functions. (Short Communication).
Commutativity of set-valued cosine families
Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If F t: t ≥ 0 is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then .
Commuting difference operators with polynomial eigenfunctions
Commuting functions and simultaneous Abel equations
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
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...
Complementary permutations for abelian groups.
Complementary permutations for abelian groups. (Summary).
Complete asymptotic analysis of a nonlinear recurrence relation with threshold control.
Complete asymptotic and bifurcation analysis for a difference equation with piecewise constant control.
Comportement d'itérations d'un opérateur de renormalisation