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On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
2010/9/25
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...
Necessary and sufficient condition for a set of matrices to commute
Commuting matrices Jordan canonical form
2010/9/15
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
Packing Energy One-dimension
2008/7/3
A Minimum Energy Condition of 1-Dimensional Periodic Sphere Packing.
A Sufficient Condition for Starlikeness of Analytic Functions of Koebe Type
Differential inequalities $n$-fold symmetric functions analytic functions of Koebe type starlike functions strongly starlike functions Jack's Lemma
2008/7/3
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
Martins' Inequality Integral Version Sufficient Condition
2008/7/3
A Sufficient Condition for the Integral Version of Martins' Inequality.
Necessary and Sufficient Condition for Compactness of the Embedding Operator
Banach spaces Compactness Embedding operator
2008/6/30
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators
Banach algebra Cauchy problem Fuchsian characteristic polynomial Fuchsian differential operator Fuchsian principal weight holomorphic differentiable manifold
2008/6/30
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...
On an Opial Inequality with a Boundary Condition
Opial inequality Integral condition Calculus of variation
2008/6/30
On an Opial Inequality with a Boundary Condition.