We consider the time-discretized problem of quasi-static evolution in perfect plasticity posed a non-reflexive Banach space. Based on novel equivalent reformulation reflexive space, primal is characterized as Fenchel dual classical incremental stress problem. This allows to obtain necessary and sufficient optimality conditions for time-discrete problems plasticity. Furthermore, consistency prim...

Behavioral dynamics of living species is characterized by additonal nonNewtonian properties which are not included in the laws of Newtonian or statistical mechanics. These properties follow from a priviledged ability of living systems to process information, namely, to generate a force in response to an external cue. In this paper “free-will-based” forces will be incorporated into the neurodyna...

We consider a linear algebraic system A(p)x = b(q), where the elements of the matrix and the right-hand side vector are linear functions of uncertain parameters varying within given intervals. The linear tolerance problem for the so-called parametric tolerable solution set Σtol(A(p), b(q), [p], [q]) = {x ∈ Rn | (∀p ∈ [p])(∃q ∈ [q])(A(p)x = b(q))} requires an inner estimation of this solution se...

This study explores metathesis in Syrian Arabic (SyA). The data reveal two types of metatheses. Type-I is phonologically conditioned, involving at least one the four root consonants, ʒ, f, ʕ and ћ with fricatives (z, s), liquids (l, r) or gutturals (q/ʔ) specific positions within regardless word derivation. Type-II morpho-phonologically Standard reflexive Pattern VIII, (ʔi)ftaʕal, that resulted...

The Fréchet $(\mbox{resp.}, (\mbox{LB})\mbox{-})$ sequence spaces $ces(p+) := \bigcap_{r > p} ces(r), 1 \leq p < \infty $ (resp. ces (p\mbox{-}) \bigcup_{ r (r), \infty),$ are known to be very different the classical \ell_ {p+} (resp., \ell_{p_{\mbox{-}}}).$ Both of these classes non-normable (p+), (p\mbox{-})$ defined via family reflexive Banach (p), .$ \textit{dual}\/ d (q), q ,$ discrete Ces...

We study the q-difference analogue of the sixth Painlevé equation (q-PVI) by means of tau functions associated with affine Weyl group of type D5. We prove that a solution of q-PVI coincides with a self-similar solution of the q-UC hierarchy. As a consequence, we obtain in particular algebraic solutions of q-PVI in terms of the universal character which is a generalization of Schur polynomial at...

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii&apos;s xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

in this paper, we investigate the goursat problem in the class c21(d)cn0 (d  p) c00 (d q)for a third order pseudoparabolic equation. some results are given concerning the existence and uniquenessfor the solution of the suggested problem.