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In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
This paper is devoted to derive the necessary and sufficient condition for a set of matrices to commute. It is proved that the commutator [A, B ]= 0 for two matrices A and B if and only if a vector v ...
A Minimum Energy Condition of 1-Dimensional Periodic Sphere Packing.
By making use of Jack's Lemma as well as several differential and other inequalities (and parametric constraints), the authors derive sufficient conditions for starlikeness of a certain class of n-fol...
A Sufficient Condition for the Integral Version of Martins' Inequality.
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
In this paper a Cauchy problem for holomorphic differential operators of Fuchsian type is investigated. Using Ovcyannikov techniques and the method of majorants, a necessary and sufficient condition f...

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