Browsing by Author "Guseinov,G.Sh."
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Article Citation Count: 3Instability Intervals of a Hill's Equation with Piecewise Constant and Alternating Coefficient(Elsevier Ltd, 2004) Hüseyin, Hüseyin Şirin; Karaca,I.Y.; MathematicsIn this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved.Article Citation Count: 1An inverse problem for two spectra of complex finite Jacobi matrices(2012) Hüseyin, Hüseyin Şirin; MathematicsThis paper deals with the inverse spectral problem for two spectra of finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit algorithm of reconstruction of the matrix from the two spectra is given. Copyright © 2012 Tech Science Press.Article Citation Count: 90Multiple integration on time scales(2005) Hüseyin, Hüseyin Şirin; Guseinov,G.Sh.; MathematicsIn this paper an introduction to integration theory for multivariable functions on time scales is given. Such an integral calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential equations and partial difference equations. © Dynamic Publishers, Inc.Article Citation Count: 91Partial differentiation on time scales(2004) Hüseyin, Hüseyin Şirin; Guseinov,G.Sh.; MathematicsIn this paper a differential calculus for multivariable functions on time scales is presented. Such a calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential and partial difference equations.