In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces. The existence of weak solutions is obtained for this problem.
The diffusive logistic growth model with time delay and feedback control is considered. First, the well-posedness and permanence of solutions are discussed by using some comparison techniques. Then, the sufficient conditions for stability of nonnegative constant steady states are established, and the occurrence of Hopf bifurcation at positive steady state… (More)
To investigate the safety of urban mass transit, the forewarning grade of emergency is evaluated with the fuzzy sets theory. The new fuzzy evaluation method shows how the interrupt time, casualties, happen position, property loss and sphere of influence affect the forewarning grade of emergency in urban mass transit system. The results demonstrate that… (More)
To evaluate the forewarning grade of emergency in urban mass transit comprehensively, a new combinatorial method combined with color warning was proposed. The evaluation factors which could influence the emergency were divided into external factors and internal factors. External factors were mainly decided by the evacuation wave in stations. Internal… (More)
In this paper some Poincaré type inequalities are obtained for the maps of the Heisenberg group target.