The existence and comparison theorem of solutions is first established for the quasimonotone delayed reaction-diffusion equations on R by appealing to the theory of abstract functional differential equations. The global asymptotic stability, Liapunov stability and uniqueness of traveling wave solutions are then proved by the elementary superand sub-solution comparison and squeezing methods. Sup...

Some people are more politically interested than others, but political scientists do not know how stable these differences are and why they occur. This paper examines stability in political interest. Eleven different panel surveys taken in four different countries over 40 years are used to measure stability. Several studies include a much larger number of interview waves—up to 23—than commonly ...

M often employ market response models as decision aids and historical information of competitors’ market outcomes to aid their competitive decisions in oligopolistic settings. However, little is known about how access to a decision aid or the availability of competitors’ market outcomes impact a firm’s competitive decisions (e.g., prices) or market outcomes resulting from those decisions (e.g.,...

In this paper we introduce a stability radius for a wide class of linear innnite-dimensional time-varying systems under structured time{varying perturbations. A framework is presented which allows the same degree of unboundedness in the perturbations as in the generator of the nominal model.

We clarify the explici structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory.

The paper is an attempt to generalize a methodology [1; 93] and [2, 3; 95], which is similar to the bounded-input bounded-output (BIBO) method currently widely used [4-9] for the system stability studies. The presented in [1, 2] methodology allows decomposition of input space into bounded subspaces and defining for each subspace its bounding surface. It also defines a corresponding predefined c...

This note introduces a stability radius for discrete time linear time-varying systems on Banach spaces under structured time-varying perturbations of multi{output feedback type. We derive counterparts to some results established for time-varying and/or innnite dimensional diierentiable systems in 3], 6].