In this work we propose an approximation scheme to transform a general stochastic hybrid system (SHS) into a SHS without forced transitions due to spatial guards. Such switching mechanisms are replaced by spontaneous transitions with state-dependent transition intensities (jump rates). The resulting switching diffusion process with random hybrid jumps is shown to converge in distribution to the...

Let E/Q(t) be an elliptic curve and let t0∈Q a rational number for which the specialization Et0 is curve. Given subgroup M of E(Q(t)) with mild conditions coming from relatively large subset SM⊂Q, we provide algorithm that can show map σt0:E(Q(t))→Et0(Q) injective when restricted to M. The set SM effectively computable in certain cases, carry out this computation some explicit examples where E ...

The present paper is concerned with the circumstances under which a function g(x,t ,...,t ) provides, via composition, a ^ 1 m mapping between Sobolev spaces. That is, we examine conditions which ensure that for every system of functions u_,...,u e W _ (Q) 1 m 1, q (where W, (Q) is the class of L functions with L summable i,q q q strong first derivatives on the domain Q, c: R )S the composite f...

We argue that the use of the universal unintegrated gluon distribution and the k T (or high energy) factorization theorem provides the natural framework for describing observ-ables at small x. We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading ln(1/x) BFKL contributions and the res...

$f(Q,T)$ gravity is a novel extension of the symmetric teleparallel where Lagrangian $L$ represented through an arbitrary function nonmetricity $Q$ and trace energy-momentum tensor $T$ \cite{fqt}. In this work, we have constrained widely used model form $f(Q,T) = Q^{n+1} + m T$ from primordial abundances light elements to understand its viability in Cosmology. We report that can elegantly expla...

Abstract In this paper we study the Brinkman system and Darcy-Forchheimer-Brinkman with boundary condition of Navier’s type $$ {\textbf{u}}_{{\mathbf {\mathcal {T}}}} = {\textbf{g}}_{{\mathbf u T = g , $$\rho =h$$...

Let R denote a domain in C with boundary B. Let X denote the closure of R. An operator T on a complex Hilbert space H has X as a spectral set if σ(T ) ⊂ X and ‖f(T )‖ ≤ ‖f‖R = sup{|f(z)| : z ∈ R} for every rational function f with poles off X. The expression f(T ) may be interpreted either in terms of the Riesz functional calculus, or simply by writing the rational function f as pq−1 for polyno...

evidence that oligosaccharide residues are directly involved in C I q binding o r receptor recognition. Instead, it is believed that the carbohydrate of the immunoglobulin Fc portion plays an important structural role in maintaining the correct conformation of the polypeptide in the C,,2 domain. Our experiments show that the complete elimination of the carbohydrate in the C,,2 domain has a smal...

evaluation of the cardiovascular system of canine pediatrics requires awareness of the anatomical and physiological changes occurring from birth to six months of age. the aim of this study was to report electrocardiographic changes in the littermate mongrel dogs from birth tosix months. serial six-lead electrocardiograms were recorded from ten normal littermate mongrel dogs kept on right latera...

For the Euler equations in a thin domain Qε = Ω×(0, ε), Ω a rectangle in R, with initial data in (W (Qε)), q > 3, bounded uniformly in ε, the classical solution is shown to exist on a time interval (0, T (ε)), where T ( ) → +∞ as → 0. We compare this solution with that of a system of limiting equations on Ω.