Many integrable stochastic particle systems in one space dimension (such as TASEP - totally asymmetric simple exclusion process and its various deformations, with a notable exception of ASEP) remain when we equip each $x_i$ own jump rate parameter $\nu_i$. It is consequence integrability that the distribution $x_n(t)$ system started from step initial configuration depends on parameters $\nu_j$,...

Abstract This paper proposes a new sensor network optimized data fusion approach for structural health monitoring of metallic structures using electromechanical impedance (EMI) signals. The integrated used to fuse common healthy state baseline model based damage detection, quantification and classification in EMI technique. Towards this, the principal component analysis (PCA) is carried out cor...

and Applied Analysis 3 where g(t, s) is g (t, s) = {{{{{{{{{{{{{{ {{{{{{{{{{{{{{ { (t − s) q−1 − (1/2) (T − s) q−1 Γ (q) + (T − 2t) (T − s) q−2 4Γ (q − 1) + t (T − t) (T − s) q−3 4Γ (q − 2) , s ≤ t, − (T − s) q−1 2Γ (q) + (T − 2t) (T − s) q−2 4Γ (q − 1) + t (T − t) (T − s) q−3 4Γ (q − 2) , t < s. (14) If we let p → 1− in (7), we obtain G T (t, s) 󵄨󵄨󵄨󵄨p→1− = {{{{{{{{{{{{{{{{{{{ {{{{{{{{{{{{{{{{{...

We show that large positive solutions exist for the equation (P±) :∆u±|∇u|q = p(x)uγ in Ω ⊆ RN(N ≥ 3) for appropriate choices of γ > 1,q > 0 in which the domain Ω is either bounded or equal to RN . The nonnegative function p is continuous and may vanish on large parts of Ω. If Ω = RN , then p must satisfy a decay condition as |x| →∞. For (P+), the decay condition is simply ∫∞ 0 tφ(t)dt <∞, wher...

The concepts of bounded boundary rotation and parabolic domain are used to define certain new classes analytic functions such as V 1 , q m g , id="M3"> R id="M4"> T id="M5"> Q...

Let f be an indefinite ternary integral quadratic form and let q be a nonzero integer such that −qdet(f) is not a square. Let N(T, f, q) denote the number of integral solutions of the equation f(x) = q where x lies in the ball of radius T centered at the origin. We are interested in the asymptotic behavior of N(T, f, q) as T → ∞. We deduce from the results of our joint paper with Z.Rudnick that...

≥ 0 which implies J is increasing in q. Therefore, q∗ =min(q(k, t), p) = q(k, t, p). iii) Note that E(V |V > q) = q + E(V −q) + F̄(q) , then the optimal utility is given by J(k, t) = J(k, t, q∗) = E(V |V > q∗)min(tF̄ (q∗), k)+E(V −p) (tF̄(q )−k) F̄(q) = [q∗ + E(V −q ) F̄(q) ]min(tF̄ (q∗), k)+E(V −p) (tF̄(q )−k) F̄ (q) . If q∗ = q(k, t) then F̄ (q(k, t)) = k/t and J(k, t, q(k, t)) = [q(k, t)+ tE(V −q(k,t...

in this paper, we study the nehari manifold and its application on the following navier boundary valueproblem involving the p-biharmonic          0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where  is a bounded domain in rn with smooth boundary  . we prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter  belongs to a certain subset o...

we have designed a new type of optical channel drop filter (cdf) based on two dimensionaltriangular lattice photonic crystals. cdf operation is based on coupling to the photonic crystalwaveguide. the proposed structure is optimized to work as a cdf for obtaining the cdfcharacteristics and band structure of the filter the finite difference time domain (fdtd) method andplane wave expansion (pwe) ...