Now showing items 21-25 of 25
Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations
(Springer International Publishing, 2015-06-03)
The aim of the paper is to present a nontrivial and natural extension of the comparison result and the monotone iterative procedure based on upper and lower solutions, which were recently established in (Wang et al. in ...
The Łojasiewicz exponent over a field of arbitrary characteristic
(Springer Verlag, 2015-01-13)
Let K be an algebraically closed field and let K((XQ)) denote the field of generalized series with coefficients in K. We propose definitions of the local Łojasiewicz exponent of F = ( f1, . . . , fm) ∈ K[[X, Y ]]m as ...
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative
(Hindawi Publishing Corporation, 2015-07-08)
We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the existence and uniqueness of a solution to such problem is proved. In the proof of the main ...
Generalized gradients on Lie algebroids
(Springer Netherlands, 2013)
Generalized O(n) -gradients for connections on Lie algebroids are derived.
Entropy of Quantum Measurement
A notion of entropy of a normal state on a finite von Neumann algebra in Segal’s sense is considered, and its superadditivity is proven together with a necessary and sufficient condition for its additivity. Bounds on the ...