In this paper, we study the existence of three solutions to the following nonlinear m-point boundary value problem  u′′(t) + βu(t) = h(t)f(t, u(t)), 0 < t < 1, u′(0) = 0, u(1) = m−2 ∑ i=1 αiu(ηi), where 0 < β < π2 , f ∈ C([0, 1] × R ,R). h(t) is allowed to be singular at t = 0 and t = 1. The arguments are based only upon the Leggett-Williams fixed point theorem. We also prove nonexist results.

Reaction between Schiff-base ligand and half-sandwich complex M(Pc)(acac) led to the isolation of new sandwich-type mixed (phthalocyaninato)(Schiff-base) di-lanthanide compounds M2(Pc)2(L)H2O (M = Dy, Gd) (1, 2) [H2Pc = metal free phthalocyanine, Hacac = acetylacetone, H2L = N,N'-bis(3-methyloxysalicylidene)benzene-1,2-diamine] with the triple-decker molecular structure clearly revealed by sing...

We report the results of a molecular dynamics simulation that looked for the triple point of Lennard-Jones fluid in slit-shaped nanopores. The simulation method employed for this purpose is able to maintain vapor-liquid coexistence in a nanopore at a specific equilibrium bulk-phase pressure. The triple point is the freezing point of the critical condensate. The triple-point temperature could be...

A Steiner triple system has a bicoloring with m color classes if the points are partitioned into m subsets and the three points in every block are contained in exactly two of the color classes. In this paper we generalize the direct product theorem for bicolored Steiner triple systems given in [3] to a singular direct product theorem of the form v → 3(v − 1) + 1. Our construction uses a general...

In vitro subunit hybridisation is a usehl technique for exploring inter-subunit interactions in oligomeric enzymes [I]. In order to explore the basis of allosteric bebaviour in glutamate dehydrogenase from Clmtridiurn syrnbimurn, hybrid hexamers of mutants, VIZ. triple mutant, K89L/A163G/S380A [2] and C320S [3] have been constructed. The mutant C320S is hUy active and shows normal allosteric pr...

In this paper we introduce the concepts of generalized higher left centralizer and Jordan Γ-rings M as well proved that every certain Γ-ring is prove triple M.

Let G = (V,E) be a simple graph and let T = (P,B) be a Steiner triple system. Let φ be a one-to-one function from V to P . Any edge e = {u, v} has its image {φ(u), φ(v)} in a unique block in B. We also denote this induced function from edges to blocks by φ. We say that T represents G if there exists a one-to-one function φ : V → P such that the induced function φ : E → B is also one-to-one; tha...

conclusions our results indicated a reversible increase in rbv bioavailability after telaprevir exposure, which might be linked to the impairment of the gfr. this also suggests a rbv-telaprevir pharmacological interaction, a possible source of severe anemia observed under triple therapy. these results suggest that rbv pharmacological monitoring may be clinically relevant, especially in the cont...

The structures of m-benzyne and its fluorinated derivative, tetrafluoro-m-benzyne, were investigated using coupled cluster methods including triple excitations [CCSD(T) and CCSDT], different reference wave functions (spin-restricted Hartree-Fock, spin-unrestricted Hartree-Fock, and Brueckner), and different basis sets [6-31G(d,p) and correlation-consistent valence triple-zeta (cc-pVTZ)]. The in...