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Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits
Toric variety normality simple module classical root system
2010/12/10
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of its T -orbit is
a normal affine variety. F...
Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays
Caputo fractional calculus Riemann- Liouville fractional calculus Positive solutions and systems
2010/12/9
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynami...
Polynomial differential equations with piecwise linear coefficients
Polynomial differential equations Multiplicity Center
2010/12/14
Cubic and quartic non-autonomous differential equations with continuous piecewise linear coefficients are considered. The main concern is to find the maximum possible multiplicity of periodic solution...
A note on Schrödinger equation with linear potential and hitting times
Schrö dinger equation linear potential hitting times
2010/11/29
In this note we derive a solution to the Schr¨odingertype backward equation which satisfies a necessary boundary condition used in hitting-time problems [as described in Hern´andezdel-
Valle (2...
Convex Optimization In Identification Of Stable Non-Linear State Space Models
Convex Optimization Identification Stable Non-Linear State Space Models
2010/12/1
A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined ...
On minimal colorings without monochromatic solutions to a linear equation
minimal colorings without monochromatic solutions linear equation
2010/12/9
For a ring R and system L of linear homogeneous equations, we call a coloring of the nonzero
elements of R minimal for L if there are no monochromatic solutions to L and the coloring uses as few colo...
In this note, we introduce a class of cell decompositions of PL manifolds and polyhedra which are more general than triangulations yet not as general as CW complexes; we propose calling them PLCW comp...
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
Duffin-Kemmer-Petiau theory nonminimal coupling Klein’s paradox
2010/12/1
The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and
nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Ke...
Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
H¨older regularity integro-differential equations L´ evy operators general non-local operators
2010/11/29
This paper is concerned with H¨older regularity of viscosity solutions of second-order, fully
non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we ass...
Robust Linear Precoder Design for Multi-cell Downlink Transmission
Robust Linear Precoder Design for Multi-cell Downlink Transmission
2010/12/13
Coordinated information processing by the base stations of multi-cell wireless networks enhances the overall quality of communication in the network. Such coordinations for optimizing
any desired net...
The maximal linear extension theorem in second order arithmetic
maximal linear extension theorem second order arithmetic
2010/12/1
We show that the maximal linear extension theorem for well partial orders is equivalent over RCA0 to ATR0. Analogously, the maximal chain theorem for well partial orders is equivalent to ATR0 over RCA...
Gateaux and Frechet Derivative in Intuitionistic Fuzzy Normed Linear spaces
Intuitionistic fuzzy differentiation intuitionistic fuzzy continuity
2010/12/3
Intuitionistic Fuzzy derivative, Intuitionistic Fuzzy Gateaux derivative, Intuitionistic Fuzzy Fr´echet derivative are defined and a few of their properties are studied. The relation be-
tween ...
Cone Normed Linear Spaces
Cone norm cone convergence cone continuous cone com-plete cone compact
2010/12/3
In this paper, we introduce cone normed linear space,study the cone convergence with respect to cone norm. Fi-nally, we prove the completeness of a finite dimensional cone normed linear space.
Backward stochastic differential equations under super linear G-expectation and associated Hamilton-Jacobi-Bellman equations
G-Brownian motion super linear expectation normal distribution backward stochastic differential equations
2010/11/30
This paper first studies super linear G-expectation. Uniqueness and existence theorem for backward stochastic differential equations (BSDEs) under super linear expectation is stablished to provide pro...