The relationship between the boundaries for Hill and Lagrange stability in orbital element space is modified in the case of resonantly interacting planets. Hill stability requires the ordering of the planets to remain constant while Lagrange stability also requires all planets to remain bound to the central star. The Hill stability boundary is defined analytically, but no equations exist to def...

trade relationships built through production chains appear to be lasting due to relation-specific nature of the transactions, compared with the usual transactions of goods sold on the open market. this paper aims to verify such stability of international production networks at the global level, with special emphasis on intra-east asian trade. a series of survival analyses provide an evidence su...

Most fuzzy control papers check LMI or SOS stability conditions in order to prove local stability results of nonlinear systems (Takagi-Sugeno fuzzy models or polynomial fuzzy models via Sector Nonlinearity approach). In case of having into account the shape of the membership functions in a particular region of interest, less conservative stability and stabilization conditions can be easily set ...

Fractional powers of linear multistep methods are suggested for the numerical solution of weakly singular Volterra integral equations. The proposed methods are convergent of the order of the underlying multistep method, also in the generic case of solutions which are not smooth at the origin. The stability properties (stability region, A-stability, A(a)-stability) are closely related to those o...

background and objectives : probiotics including strains of lactobacillus spp. are living microorganisms including which are beneficial to human and animals health. in this study, lactobacillus has been isolated from corn silage in a cold region of iran by anaerobic culture. materials and methods : the bacteriological and biochemical standard methods were used for identification and phenotypic ...