In this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms defined as a decomposable norm composed with a linear operator, the so-called analysis type decomposable prior. This encompasses several well-known analysis-type regularizations such as the discrete total variation (in any ...

In the framework of collection and determination of coastal sand dune plants of S Caspian Sea in Gilan and Mazandaran provinces (N Iran), a new species of the family Poaceae,Cenchrus longispinus (Hack.) Fernald, was determined in coastline of Babolsar, Mazandaran. Cenchrus longispinus is closely resembles C. spinifex and C. echinatus. From the latter it is best distinguished by the absence of a...

Based on the cranking model and the random phase approximation, we point out that the wobbling excitation on top of the s band in Os is stable against angular momentum tilting. This is consistent with the general trend that the wobbling excitations in γ < 0 rotating nuclei are more stable than those in γ > 0 ones found in our previous studies. In higher N isotopes known to be γ soft, however, a...

When is an acene stable? The pronounced multiradical character of graphene nanoribbons of different size and shape was investigated with high-level multireference methods. Quantitative information based on the number of effectively unpaired electrons leads to specific estimates of the chemical stability of graphene nanostructures.

The lack of stability in some matching problems suggests that alternative solution concepts to the core might be a step towards furthering our understanding of matching market performance. We propose absorbing sets as a solution for the class of roommate problems with strict preferences. This solution, which always exists, either gives the matchings in the core or predicts other matchings when ...

This represents a circle in the phase plane. Its plot is given in Fig. 2.1.b. __________________________________________________________________________________________ The nature of the system response corresponding to various initial conditions is directly displayed on the phase plane. In the above example, we can easily see that the system trajectories neither converge to the origin nor dive...

We consider a method for constructing uniformly stable spline approximations for scalar delay equations.

Small-gain statements play a key role in system analysis. These results state that the interconnection of two stable systems is stable provided that the closed loop gain is less than unity. This intuitively satisfying statement can be made rigorous in a number of ways depending on the notion of stability and the family of systems under consideration. Such results were originally given in the 19...

In this paper we consider the dynamics of solutions of impulsive differential equations with fixed time moments of impulsive effects on the basis of comparison methods and vector Lyapunov functions. We propose sufficient conditions on the following dynamic properties: stability, attractivity, and some combinations of them.