in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime...

Complex real-world networks such as the web graph are often modelled as directed graphs evolving over time, where new vertices are joined to a constant m number of existing vertices of prescribed type. We consider a certain on-line random construction of a countably infinite graph with out-degree m, and show that with probability 1 the construction gives rise to a unique isomorphism type. We sh...

In the present paper, different concentrations of chromium oxide (Cr2O3) nanoparticles (? 0.6 wt%) were incorporated within PEO/CMC polymer blend to produce nanocomposite films using casting technique. X-ray diffraction was performed on PEO/CMC-Cr2O3 nanocomposites. The main peaks Cr2O3 observed and defined as cubic structure orthorhombic shape. average particle size calculated by Scherer’s equ...

In this paper, we consider the hidden subgroup problem (HSP) over the class of semi-direct product groups Zn ⋊ Zq. The definition of the semi-direct product depending on the choice of an homomorphism, we first analyze the different possibilities for this homomorphism in function of n and q. Then, we present a polynomial-time quantum algorithm solving the HSP over the groups of the form Zpr ⋊ Zp...

A ring Λ is called a tiled order if Λ is a prime Noetherian semi-prefect semi-distributive ring with non-zero Jacobson radical. Any tiled order can be constructed from a (non-necessarily commutative) discrete valuation ring and an exponent matrix. The latter means a square integer matrix A = (αps), whose diagonal entries are equal to zero, and for all possible indices i, j, k, the following ine...

We discuss the consequences of the possibility that Vassiliev invariants do not detect knot invertibility as well as the fact that quantum Lie group invariants are known not to do so. On the other hand, finite group invariants, such as the set of homomorphisms from the knot group to M11, can detect knot invertibility. For many natural classes of knot invariants, including Vassiliev invariants a...

In framework of heavy-diquark$-$light-quark endowed with heavy-pair binding, we explore excited baryons $QQ^{\prime}q$ containing two heavy quarks ($QQ^{\prime}=cc,bb,bc$) by combining the method Regge trajectory perturbative correction due to interaction in baryons. Two relations, one linear and other nonlinear, are constructed semi-classically QCD string picture, a mass scaling relation based...

The discrepancies between the measurements of rare (semi-)leptonic $B$ decays and corresponding Standard Model predictions point convincingly towards existence new physics for which a heavy neutral gauge boson ($Z^\prime$) is prime candidate. However, effect mixing $Z^\prime$ with SM $Z$, even though it cannot be avoided by any symmetry, usually assumed to small thus neglected in phenomenologic...