On the exactly-solvable pairing models for bosons. Abstract We discuss the construction of the exactly solvable pairing models for bosons in the framework of the Quantum Inverse Scattering method. It is stressed that this class of models is naturally appears in the quasiclassical limit of the algebraic Bethe ansatz transfer matrix. It is pointed out that the new class of the pairing models can ...

the problem of downward continuation of the gravity field from the earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for geoid determination without applying stokes formula is sought in terms of the disturbing potential on the ellipsoid but the disturbing gravity observations are only available on the earth’s surface. downward contin...

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

where G ∈ L∞(IR, IRn×n) is a matrix valued function with G(x+1) = G(x) for almost every x ∈ IR. Systems of this type appear, for instance, in the theory of vibrations or in hydrodynamics. In the typical case where the function G depends on some set of parameters, one is not really interested in the solution of (1) but in the values of the parameters for which this equation is stable. Let Y : IR...

We construct a new solution of the BFSS matrix theory, which is a counterpart of the BIon solution representing a fundamental string ending on a bound state of a D2-brane and D0-branes. We call this new solution the ‘fuzzy BIon’ and show that this configuration preserves 1/4 supersymmetry of type IIA superstring theory. We also construct an effective action for the fuzzy BIon by analyzing the n...

The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order differential system with matrix coefficients. leads fourth-order and transversality conditions. Those are studied basis generated by fundamental solution.