In this paper a procedure for construction of complete type Lyapunov–Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates...

s of courses Giovanni ALBERTI “Concentration phenomena for functionals of Ginzburg-Landau type. A variational approach” In these lectures I will describe an approach by Γ-convergence to certain concentration phenomena for minimizers of functionals of Ginzburg-Landau type, as developped in [ABO2] and [JS]. Consider the functionals

We define notions of resource-bounded continuity and sequentiality for type-two functionals with total inputs, and prove that there are continuous functionals which cannot be efficiently simulated by sequential functionals. We also show that for some naturally-defined classes of continuous functionals, an efficient simulation is possible.

We provide a natural characterization of the type two Mehlhorn-CookUrquhart basic feasible functionals as the provably total type two functionals of our (classical) applicative theory PT introduced in [30], thus providing a proof of a result claimed in the conclusion of [30]. This further characterization of the basic feasible functionals underpins their importance as a key candidate for the no...

increases in the proportion of women in management. During this time, women’s representation in managerial occupations increased from about one-third to one-half.1 These positions confer well-documented benefits, including improved status, wages, autonomy, and overall work experience (England et al. 1994; Reskin and Ross 1992). In recent years, a spate of empirical research has addressed women’...

In this paper, we study the following first-order nonperiodic Hamiltonian system ż = JHz(t, z), where H ∈ C1(R× R ,R) is the form H(t, z) = 1 2 L(t)z · z + R(t, z). Under weak superquadratic condition on the nonlinearitiy. By applying the generalized Nehari manifold method developed recently by Szulkin and Weth, we prove the existence of homoclinic orbits, which are ground state solutions for a...

We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument, proved by Frigon and the author. Applications to reaction-diffusion systems with skew gradient struc...