This paper presents some solvability criteria for the second order nonlinear equation (p(t)u′(t))′ − q(t)u(t) = f ( t, ∫ t 0 u(s)ds, u′(t) ) , t ∈ (0, 1), with one of the following boundary conditions au(0)− bp(0)u′(0) = 0, cu(1) + dp(1)u′(1) = μ1u(ξ), au(0)− bp(0)u′(0) = μ2u(ξ), cu(1) + dp(1)u′(1) = 0, au(0)− bp(0)u′(0) = μ1u(ξ), cu(1) + dp(1)u′(1) = μ2u(ξ). Under the appropriate nonlinear res...

Let Pn,r(x) be the generalized weighted power means. We consider bounds for the differences of means in the following form: max { Cu,v,β x 1 , Cu,v,β x n } σn,w′,β ≥ P n,u − P n,v α ≥ min { Cu,v,β x 1 , Cu,v,β x n } σn,w,β . Here β 6= 0, σn,t,β( x) = ∑n i=1 ωi[x β i −P β n,t(x)] andCu,v,β = u−v 2β2 . Some similar inequalities are also considered. The results are applied to inequalities of Ky Fa...

The syntheses, structures, and magnetic properties of two heterometallic Cu(II)-Ln(III) (Ln(III) = Gd, Tb, and Dy) families, utilizing triethanolamine and carboxylate ligands, are reported. The first structural motif displays a nonanuclear {Cu(II)2Ln(III)7} metallic core, while the second reveals a hexadecanuclear {Cu(II)4Ln(III)12} core. The differing nuclearities of the two families stem from...

Due to their similar coordination properties, discrimination of Cu+ and Ag+ by water-soluble luminescent probes is challenging. We have synthesized LCC4Eu, an 18 amino acid cyclic peptide bearing a europium complex, which able bind one or ion the side chains two methionines, histidine 3-(1-naphthyl)-l-alanine. In this system, naphthyl moiety establishes cation−π interaction with these cations. ...

BACKGROUND In chronic haemodialysis (HD), morbidity may result from repetitive induction of the acute phase response, caused by a bioincompatible dialysis membrane and/or contaminated dialysate. In the present study, cytokine release (interleukin-6, IL-6) and subsequent production of acute phase proteins (C-reactive protein, CRP and secretory phospholipase A(2), sPLA(2)) were assessed to invest...

The prognostic significance of chromosomal translocations, particularly t(l;19) (q23;p13), was evaluated in children with pre-B and early pre-B acute lymphoblastic leukemia (ALL). Patients were treated on a risk-based protocol of the Pediatric Oncology Group (POW between February 1986 and May 1989. An abnormal clone was detected in 46% (1 30 of 2851 of pre-B cases and 56% (380 of 679) of early ...

The 63Cu and 65Cu NQ R transitions in powder samples o f cuprous oxide have been in­ vestigated from 77 to 500 K and at room temperature after annealing up to 1100 K Significant differences in T \ , NQ R linewidth A v, and their temperature dependences were found among the samples prepared in different ways. For Cu20 samples obtained in low temperatures (below 380 K), the temperature dependence...