We present an approach to the construction of action principles (the inverse problem of the calculus of variations), for first order (in time derivatives) differential equations, and generalize it to field theory in order ...

In this paper we introduce variable exponent local Hardy spaces $hLp$ associated with a non-negative self-adjoint operator $L$. We assume that, for every $t>0$, the operator $e^{-tL}$ has an integral representation whose ...

In a Stackelberg network pricing game a leader sets prices for a given subset of edges so as to maximize profit, after which one or multiple followers choose a shortest path. Our main result shows that the profit when ...

Sejam X um espaço de Banach,\alpha um número complexo tal que Re\alpha > 0 e A um operador linear fechado, não negativo, com domínio e imagem em X. O objetivo deste trabalho é definir o objeto A^\alpha de modo que as ...

We consider the unperturbed operator H-0 := (-i del-A)(2) + W, self-adjoint in L-2(R-2). Here A is a magnetic potential which generates a constant magnetic field b > 0, and the edge potential W = (W) over bar is a T-periodic ...

The study of integer-valued time series models is increasingly present in the literature. It is common in practice for series to contain a seasonal component, and unlike continuous models, counting processes with a seasonal ...