Invariant foliations and stability in critical cases.
Invariant graphs of functions for the mean-type mappings
Let I be a real interval, J a subinterval of I, p ≥ 2 an integer number, and M1, ... , Mp : Ip → I the continuous means. We consider the problem of invariance of the graphs of functions ϕ : Jp−1 → I with respect to the mean-type mapping M = (M1, ... , Mp).Applying a result on the existence and uniqueness of an M -invariant mean [7], we prove that if the graph of a continuous function ϕ : Jp−1 → I ...
Invariant means, set ideals and separation theorems.
Invariant Measures and Functional Equations
Invariants of a class of transformation groups.
Invariants of a class of transformation groups II.
Invariants of a class of transformation groups II. (Short Communication).
Inverse Limits, Economics, and Backward Dynamics.
We survey recent papers on the problem of backward dynamics in economics, providing along the way a glimpse at the economics perspective, a discussion of the economic models and mathematical tools involved, and a list of applicable literature in both mathematics and economics.
Investigation of the stability via shadowing property.
Involutions and iterates of central dispersions
Involutions of real intervals
This paper shows a simple construction of continuous involutions of real intervals in terms of continuous even functions. We also study smooth involutions defined by symmetric equations. Finally, we review some applications, in particular a characterization of isochronous potentials by means of smooth involutions.
Irreducible Belousov equations on quasigroups
Isometric additive mappings in generalized quasi-Banach spaces.
Isomorphisms and derivations in Lie -algebras.
Isomorphisms and generalized derivations in proper -algebras.
Iterated oscillation criteria for delay dynamic equations of first order.
Iterated oscillation criteria for delay partial difference equations
In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples,...
Iterated quasi-arithmetic mean-type mappings
We work with a fixed N-tuple of quasi-arithmetic means generated by an N-tuple of continuous monotone functions (I an interval) satisfying certain regularity conditions. It is known [initially Gauss, later Gustin, Borwein, Toader, Lehmer, Schoenberg, Foster, Philips et al.] that the iterations of the mapping tend pointwise to a mapping having values on the diagonal of . Each of [all equal] coordinates of the limit is a new mean, called the Gaussian product of the means taken on b. We effectively...
Iteration groups generated by functions
Iteration semigroups with generalized convex, concave and affine elements.