On exponentially separated differential systems

Exponentially Convex Functions on Hypercomplex Systems

Exponentially exact hyperbolic systems

Starting with general hyperbolic systems of conservation laws, a special sub{class is extracted in which classical solutions can be expressed in terms of a linear transport equation. A characterizing property of this sub{class which contains, for example, all linear systems and non{linear scalar equations, is the existence of so called exponentially exact entropies.

On maximal weakly separated set-systems

For a permutation ω ∈ Sn, Leclerc and Zelevinsky in Am. Math. Soc. Transl., Ser. 2 181, 85–108 (1998) introduced the concept of an ω-chamber weakly separated collection of subsets of {1,2, . . . , n} and conjectured that all inclusionwise maximal collections of this sort have the same cardinality (ω)+n+1, where (ω) is the length of ω. We answer this conjecture affirmatively and present a genera...

On asymptotic stability of Weber fractional differential systems

In this article, we introduce the fractional differential systems in the sense of the Weber fractional derivatives and study the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber fractional derivatives.

On asymptotic stability of Prabhakar fractional differential systems

In this article, we survey the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional derivatives. We present the stability regions for these types of fractional differential systems. A brief comparison with the stability aspects of fractional differential systems in the sense of Riemann-Liouville fractional derivatives is also given.