Under some suitable assumptions, we show that the n + 2 order non-linear boundary value problems (BVP1)  (E1) [φp(u (n)(t))]′′ = f (t, u(t), u(1)(t), . . . , u(n+1)(t)) (BC1)  u(i)(0) = 0, i = 0, 1, 2, . . . , n − 3, u(n−1)(1) = 0 u(n−2)(0) = λu(n−1)(η) u(n+1)(0) = α1u (n+1)(ξ) u(n)(1) = β1u (n)(ξ) and (BVP2)  (E2) [φp(u (n)(t))]′′ = f (t, u(t), u(1)(t)...

Let 9 be a reductive complex Lie algebra, with adjoint group G, Cartan subalgebra ~ and Weyl group W. Then G acts naturally on the algebra of polynomial functions &'(g) and hence on the ring of differential operators with polynomial coefficients, .97(g). Similarly, W acts on ~ and hence on .97(~). In [BC2], Harish-Chandra defined an algebra homomorphism J : .97(g)G -t .97(~)w. Recently, Wallach...

Superconducting SrTiO 3−δ was obtained by annealing single crystalline SrTiO3 samples in ultra high vacuum. An analysis of the V (I) characteristics revealed very small critical currents Ic which can be traced back to a unavoidable doping inhomogeneity. R(T) curves were measured for a range of magnetic fields B at I ≪ Ic, thereby probing only the sample regions with highest doping level. The re...

β-YbAlB4 is the first Yb-based heavy fermion superconductor with Tc = 80 mK. We measured low temperature magnetization of high-purity single crystals down to T = 25 mK. The measurements have revealed a considerable amount of volume fractions of the superconductivity and the upper critical field Bc2 curve under field along the c axis, consistent with the previous results. In the normal state, th...

Wild relatives of cultivated potato are used in breeding to increase the genetic diversity Solanum tuberosum (AAAA genome) varieties. Mexican allotetraploid species stoloniferum (AABB was for extreme resistance viruses and late blight. In this study, genomic situ hybridization (GISH) visualization introgression material B subgenome S. into genome backcross hybrids. The fertile hexaploid hybrid ...

This report describes the distribution of conventional nuclear localization sequences (NLS) and of a beta-stranded so-called nuclear localization motif (NLM) in the two proteins (VP1, 82 kDa; VP2, 63 kDa) forming the T=1 icosahedral capsid of the parvovirus minute virus of mice (MVM) and their functions in viral biogenesis and the onset of infection. The approximately 10 VP1 molecules assembled...