Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.

In this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation electrical wave heart is described by monodomain model coupled to an elliptic equation describing diffusion whole body. Our result concerns both and torso parameters. main difficulty that solve paper related transmission conditions between torso. We fi...

This paper studies the quantitative unique continuation for a semi-linear parabolic-elliptic coupled system on bounded domain Ω. is simplified version of chemotaxis model introduced by Keller and Segel in [14]. With aid priori L∞-estimates (for solutions system) built up this paper, we treat parabolic equation as linear equation, then use frequency function method localization technique to buil...

This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its pa...

‎In a (t,n)-threshold secret sharing scheme‎, ‎a secret s is distributed among n participants such that any group of t or more participants can reconstruct the secret together‎, ‎but no group of fewer than t participants can do‎. In this paper, we propose a verifiable (t,n)-threshold multi-secret sharing scheme based on Shao and Cao‎, ‎and the intractability of the elliptic curve discrete logar...

 The Mordell-Weil theorem states that the group of rational points‎ ‎on an elliptic curve over the rational numbers is a finitely‎ ‎generated abelian group‎. ‎In our previous paper, H‎. ‎Daghigh‎, ‎and S‎. ‎Didari‎, On the elliptic curves of the form $ y^2=x^3-3px$‎, ‎‎Bull‎. ‎Iranian Math‎. ‎Soc‎.‎‎ 40 (2014)‎, no‎. ‎5‎, ‎1119--1133‎.‎, ‎using Selmer groups‎, ‎we have shown that for a prime $p...

abstract the coupled modflow-hydrus software package was used to produce a saturated-unsaturated flow model for a flood spreading system (fss) and its associated aquifer. the study aim to improve simulations of near-surface hydrological processes, including temporal and spatial variation in groundwater recharge rates. the coupled model was built with average rmse=1.1 and 1.3 for calibration and...

in this study, forced-vibration analysis of a coupled system of single layered graphene sheets (slgss) subjected to the moving nano-particle is carried out based on nonlocal elasticity theory of orthotropic plate. two slgss are coupled with elastic medium which is simulated by pasternak and visco-pasternak models. using hamilton’s principle, governing differential equations of motion are derive...

In this paper, we compute universal estimates of eigenvalues a coupled system elliptic differential equations in divergence form on bounded domain Euclidean space. As an application, show interesting case rigidity inequalities the Laplacian, more precisely, consider countable family domains Gaussian shrinking soliton that makes behavior known Laplacian invariant by first-order perturbation Lapl...

The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before...