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Article Citation - WoS: 12Citation - Scopus: 12Boundary Value Problems for Nonlinear Impulsive Hamiltonian Systems(Elsevier Science Bv, 2014) Guseinov, Gusein Sh.We study two point boundary value problems for nonlinear impulsive Hamiltonian systems. Spectral analysis of the corresponding linear impulsive Hamiltonian system and a fixed point theorem are employed to obtain an existence and uniqueness result for solutions of the nonlinear problem. Two examples are given in which the main condition is made explicit. (C) 2013 Elsevier B.V. All rights reserved.Article Citation - WoS: 10Citation - Scopus: 12On an Inverse Problem for Two Spectra of Finite Jacobi Matrices(Elsevier Science inc, 2012) Guseinov, Gusein Sh.We solve a version of the inverse spectral problem for two spectra of finite order real Jacobi matrices. 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 last 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 procedure of reconstruction of the matrix from the two spectra is given. (C) 2012 Elsevier Inc. All rights reserved.Article Citation - WoS: 7Citation - Scopus: 7On the Impulsive Boundary Value Problems for Nonlinear Hamiltonian Systems(Wiley, 2016) Guseinov, Gusein Sh.In this work, we deal with two-point boundary value problems for nonlinear impulsive Hamiltonian systems with sub-linear or linear growth. A theorem based on the Schauder fixed point theorem is established, which gives a result that yields existence of solutions without implications that solutions must be unique. An upper bound for the solution is also established. Examples are given to illustrate the main result. Copyright (C) 2016 John Wiley & Sons, Ltd.Article Citation - WoS: 3Citation - Scopus: 3An Inverse Spectral Problem for Complex Jacobi Matrices(Elsevier, 2010) Guseinov, Gusein Sh.We introduce the concept of generalized spectral function for finite order complex Jacobi matrices and solve the inverse problem with respect to the generalized spectral function. The results obtained can be used for solving of initial-boundary value problems for finite nonlinear Toda lattices with the complex-valued initial conditions by means of the inverse spectral problem method. (C) 2009 Elsevier B.V. All rights reserved.Article Citation - WoS: 283Citation - Scopus: 315Integration on Time Scales(Academic Press inc Elsevier Science, 2003) Guseinov, GS; Hüseyin, Hüseyin Şirin; Hüseyin, Hüseyin Şirin; Mathematics; MathematicsIn this paper we study the process of Riemann and Lebesgue integration oil time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established. (C) 2003 Elsevier Inc. All rights reserved.
