In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with ...

in this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable taylor and weight function approximation. the method is based on weerakoon-fernando method [s. weerakoon, g.i. fernando, a variant of newton&apos;s method with third-order convergence, appl. math. lett. 17 (2000) 87-93]. the method is optimal, as it needs three evaluations per ite...

Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefficients of their signed characteristic polynomial and signed Laplacian characteristic polynomial are calculated.

We introduce an algorithm to compute the functions belonging a suitable set F defined as follows: f∈F means that f(s,x), s∈A⊂R being fixed and x>0, has power series expansion centred at x0=1 with convergence radius greater or equal than 1; moreover, it satisfies functional equation of step 1 Euler-Maclaurin summation formula can be applied f. Denoting Euler gamma-function Γ, we will show that, ...

background recently, assessment of the atrial motion and deformation indices obtained via doppler myocardial imaging (dmi) has been proposed as a new method of exploring the atrial function. objective our aim was to assess the right atrial (ra) regional function using myocardial velocities, strain, and strain rate imaging (sri) and compare it with the function of the inter-atrial septum (ias) a...

in [1,2,3], a. c. baker and j.w. baker studied the subspace ma(s) of the convolution measure algebra m, (s) of a locally compact semigroup. h. dzinotyiweyi in [5,7] considers an analogous measure space on a large class of c-distinguished topological semigroups containing all completely regular topological semigroups. in this paper, we extend the definitions to study the weighted semigroup algeb...