In this paper we consider a nonuniform unstability concept for evolution operators in Banach spaces. The relationship between this concept and the Perron condition is studied. Generalizations to the nonuniform case of some results of Van Minh, Räbiger and Schnaubelt are obtained. The theory we present here is applicable for general time varying linear equations in Banach spaces. 1. Evolution op...

Given complex numbers s0, . . . , sN , we present necessary and sufficient conditions for the existence of a function f analytic and bounded by one in modulus on the open unit disk which admits the nontangential boundary asymptotic expansion f (z) = s0 + s1(z − t0)+ · · · + sN (z − t0) + o((z − t0) ) at a given point t0 on the unit circle. This criterion can be considered as a boundary analog o...

The photoelectron spectra of the structural isomers of the three- and four-carbon enolate anions, n-C3H5O(-), i-C3H5O(-), n-C4H7O(-), s-C4H7O(-), and i-C4H7O(-) have been measured at 355 nm. Both the X(2A' ') ground and A(2A') first excited states of the corresponding radicals were accessed from the X(1A') ground state of the enolate anions. The separation energies of the ground and first excit...

We show that within conformal gravity an assumption regarding only the sign of the cosmological constant, namely that Λ be negative, is sufficient, no matter what its magnitude, to not only make its contribution to current era cosmology naturally be of order one today, but to even do so in a way which is fully compatible with the recent high z supernovae cosmology data. The recent discovery [1,...

and Applied Analysis 3 where m ∈ N, α is the quotient of odd positive integers, t0 ∈ T, the time scale interval t0,∞ T {t ∈ T : t ≥ t0}, a ∈ Crd t0,∞ T, 0,∞ , p ∈ C t0,∞ T,R , τ, δ ∈ C T,T with limt→∞τ t limt→∞δ t ∞ and f ∈ C t0,∞ T×R,R satisfying the following conditions: i uf t, u > 0 for any t ∈ t0,∞ T and u/ 0. ii f t, u is nondecreasing in u for any t ∈ t0,∞ T. Since we are interested in t...

Precise diagnosis of peri-intraventricular hemorrhage (PIVH) requires brain real-time ultrasound imaging procedure (US). However, maximal diagnostic efficiency of US lies between day 4 and 14 since fresh blood may initially appear sonolucent. Because of this supposed interval required for clot formation to become visible on US, serum CPK-BB estimations were performed in the first 60 hours of li...

AIMS To evaluate the effect of 10 day triple treatment on H pylori eradication and associated gastritis. METHODS Fifty patients with H pylori positive non-ulcer dyspepsia were treated for 10 days with amoxicillin, tinidazole, and bismuth salts. Histological examination of the antral mucosa was performed before (T0), six weeks (T1), and six months (T2) after treatment. The new Sydney classific...