This paper aims to provide a comprehensive survey of phrasal and clausal comparative constructions in the N. W. Caucasian language Abkhaz (in relation to data from the standard, Abzhywa dialect). Following the lead of Knecht (1976), the following three terms will be used throughout this article: (a) Remainder = in the phrasal comparative, a single NP (preceded by “than” in English); in the clausal comparative, the remains of the clause; (b) Trigger = the quantified constituent in the controlling clause; (c) Target = the compared constituent in the comparative clause obligatorily deleted by Comparative Deletion.
We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green's functions allows us to get conclusions about the sign-constancy of Green's functions to given functional differential boundary value problems, using the technique of theorems about differential and integral inequalities and estimates of spectral radii of the corresponding compact operators in the space of essential bounded functions.
We offer the quantitative estimation of stability of risk-sensitive cost optimization in the problem of optimal stopping of Markov chain on a Borel space X. It is supposed that the transition probability p(⋅|x), x∈X is approximated by the transition probability p˜(⋅|x), x∈X, and that the stopping rule f˜∗ , which is optimal for the process with the transition probability p˜ is applied to the process with the transition probability p. We give an upper bound (expressed in term of the total variation distance: supx∈X∥p(⋅|x)−p˜(⋅|x)∥) for an additional cost paid for using the rule f˜∗ instead of the (unknown) stopping rule f∗ optimal for p.
Shown an approach to the calculation of anisotropic plates numerically-analytical boundary elements method. The two-dimensional problem is reduced to one-dimensional by variation method Kantorovich-Vlasov. To select a function of the transverse distribution of deflecitons are encouraged to use one of two methods - dynamic or static. Application of numerical and analytical boundary element method allows a single approach to obtain the solution of basic differential equation of bending of anisotropic plate with any boundary conditions and without any restrictions on the nature of the application of the external load. and Obsahuje seznam literatury
Absolute continuity for functionals is studied in the context of proper and abstract Riemann integration examining the relation to absolute continuity for finitely additive measures and giving results in both directions: integrals coming from measures and measures induced by integrals. To this end, we look for relations between the corresponding integrable functions of absolutely continuous integrals and we deal with the possibility of preserving absolute continuity when extending the elemental integrals.