A sufficient condition of the existence for RGCC is derived by Lyapunov stability theorem.
This paper is concerned with the existence for impulsive semilinear differential equations with nonlocal conditions.
The political, economic, journalistic, and social environments in which Occupy participates miss many requirements of a Habermasian sphere (the existence, for instance, of a highly commercialized press).
Firstly, the sum of delays is chosen as the bifurcation parameter, the conditions of the existence for the Hopf bifurcation are obtained by analyzing the associated characteristic equation.
The correspondence between the entropy condition and other criteria for the existence for various types of coherent concentration fronts is investigated and several relations are proven.
Evidence for the existence for two critical frequencies for quasi-sinusoidally profiled panels is presented within, from the observed directivity pattern.
Most of the progress for the existence of {4}-GDDs of type gum1 is on the case when gu is even, where the existence for small g has played a key role.
As for the argument about open space, it might indeed have been questionable to build something new on what had previously been green, but the existence for 40 years of another structure, the youth centre, does make a difference, and it is arguable whether some more grass or asphalt would be of greater public benefit than what is now being offered.
An interesting and surprising consequence of our results is the existence, for d≥2, of discrete sets Λ with G(χ[0,1]d,Λ) forming a Gabor orthonormal basis but with the associated "time -translates of time -translates]d having significant oferlaps.
Another analysis reveals the existence, for appropriate relations between density ratios and junction locations, of a mode in which the behaviour is like that of an L-shaped membrane with a "directed slope" boundary condition on the cut-out edges: the other (massless) segment moves like a doubly ruled surface in the form of a hyperbolic paraboloid.
Hμ denoting the regular part of the Green's function of the operator −Δ+μ in Ω with Neumann boundary conditions, and ϕμ(x)=μ12+Hμ x,x), we show that a nontrivial relative homology between the level sets ϕμc and ϕμb, bthe existence, for ε>0 small enough, of a solution to the problem, which blows up as ε goes to zero at a point a∈Ω such that b⩽ϕμ(a)⩽c.
