On the other hand, in order to describe the real world and economic behavior better, very recently, much attention has been attracted to multi-criteria equilibrium models.
The constants G, H, J are defined as follows: G = − det ( A B E 0 ) B = E, H = − det ( B D F G ) F = − B G − F D F = − B E − F D F, J = − det ( F G H 0 ) H = G = E. From Routh's criterion equilibrium of the difference equation is stable if all terms in the first column have the same sign.
This paper deals with asymptotic stability criteria for equilibrium points of nonlinear autonomous systems formulated in terms of compact invariant sets and positively invariant sets.
On the other hand, if parties adhere to certain ideologies and they are uncertain about the preferences of voters then they may have different criteria in equilibrium.
(14, 15) satisfy the prescribed yield criteria, static equilibrium, boundary support conditions as well as the kinematics of the postulated failure mechanism, and as such satisfy the requirements of the uniqueness theorem and minimum weight design due to Foulkes (1953 , 1954.
All SNPs passed quality control criteria (Hardy Weinberg equilibrium P > 0.001, minor allele frequency of at least 0.04, genotyping success rate for the SNP at least 95%).
(2) According to the Routh-Hurwitz stability criterion, the equilibrium points of system (1) are stable for (b > a).
OD matrices are assigned in the network according to a user defined criterion (user equilibrium -UE, system optimum -SO).
A maximum entropy multi-criteria user equilibrium (ME-MUE) model is presented to address the non-uniqueness of the solution in MUE-TRD model.
According to the Akaike criterion, the equilibrium experimental data was better described by the Langmuir-Freundlich model, which considers the competition among ions for the active sites.
As transition criteria from non-equilibrium to equilibrium choking, a length to diameter (L/D) ratio of 25 was suggested for the nozzle or pipe flows.
