538 citations
10 papers
Optimal control of Goursat-Darboux systems in domains with curvilinear boundaries
S. A. Belbas
We derive necessary conditions for optimality in control problems governed by hyperbolic partial differential equations in Goursat-Darboux form. The conditions consist of a set of…
A hybrid Volterra-type equation with two types of impulses
S. A. Belbas, ; Jong Seo Park
We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via…
On series solutions of Volterra equations
S. A. Belbas
We derive formulae for the calculation of Taylor coefficients of solutions to systems of Volterra integral equations, both linear and nonlinear, either without singularities or wit…
The Fredholm index of a pair of commuting operators
Xiang Fang
This paper concerns Fredholm theory in several variables, and its applications to Hilbert spaces of analytic functions. One feature is the introduction of ideas from commutative al…
Large magnetoresistance in bcc Co/MgO/Co and FeCo/MgO/FeCo tunneling junctions
X. -G. Zhang, W. H. Butler
By use of first-principles electronic structure calculations, we predict that the magnetoresistance of the bcc Co(100)/MgO(100)/bcc Co(100) and FeCo(100)/MgO(100)/FeCo(100) tunneli…
Boosted Decision Trees as an Alternative to Artificial Neural Networks for Particle Identification
Byron P. Roe, Hai-Jun Yang, Ji Zhu +3
The efficacy of particle identification is compared using artificial neutral networks and boosted decision trees. The comparison is performed in the context of the MiniBooNE, an ex…