LIST OF PUBLICATIONS

  1. G. Sh. Guseinov, "The determination of an infinite Jacobi matrix from the scattering data", Dokl. Akad. Nauk SSSR, Vol. 227, No. 6 (1976), pp. 1289-1292 =Soviet Math. Dokl., Vol. 17, No. 2(1976), pp. 596-600.
  2. G. Sh. Guseinov, "The inverse problem of scattering theory for a second-order difference equation on the whole axis", Dokl. Akad. Nauk SSSR, Vol. 231, No. 5 (1976), pp. 1045-1048 = Soviet Math. Dokl., Vol. 17, No. 6(1976), pp. 1684-1688.
  3. G. Sh. Guseinov, "The scattering problem for an infinite Jacobi matrix", Izv. Akad. Nauk Arm. SSR, Ser. Mat., Vol. 12, No. 5(1977), pp. 365-379.
  4. G. Sh. Guseinov and B. M. Levitan, "Calculation of the principal part of lenght of the gap for periodic Sturm-Liouville problem", Serdika Blgarsko Mat. Spisanie, Vol. 3 (1977), pp.273-280.
  5. G. Sh. Guseinov and B. M. Levitan, "On trace formulas for the Sturm-Liouville operator", Vestnik Moskov. Univ., Ser. 1 Mat. Mekh., No.1 (1978), pp. 40-49.
  6. G. Sh. Guseinov, "Determination of an infinite nonselfadjoint Jacobi matrix from its generalized spectral function", Mat. Zametki, Vol. 23, No.2(1978), pp. 237-248 = Math. Notes, Vol. 23 (1978), pp. 130-136.
  7. G. Sh. Guseinov, "Determination of an infinite Jacobi matrix by two its spectra", Mat. Zametki, Vol. 23, No.5 (1978), pp. 709-720= Math. Notes, Vol. 23 (1978).
  8. G. Sh. Guseinov, " The inverse problem from the generalized spectral matrix for a second-order non-sefadjoint difference equation on the axis", Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn. Mat. Nauk, No.5 (1978), pp. 16-22.
  9. G. Sh. Guseinov, " On trace formulas for the Dirac operator", Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn. Mat. Nauk, No.5 (1979), pp. 53-59.
  10. G. Sh. Guseinov, " Eigenfunction expansions of multiparameter differential and difference equations with periodic coefficients", Dokl. Akad. Nauk SSSR, Vol. 253, No.5 (1980), pp. 1040-1043 = Soviet Math. Dokl., Vol 22, No. ! (1981), pp. 201-205.
  11. M. G Gasymov and G. Sh. Guseinov, " The determination of a diffusion operator from the spectral data", Dokl. Akad. Nauk Azerb. SSR, Vol. 37, No.2 (1981). pp. 19-23.
  12. G. Sh. Guseinov and F. Sh. Mukhtarov, " The scattering problem for an infinite nonselfadjoint Jacobi matrix", Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn. Mat Nauk, No. 1 (1982, pp. 16-22.
  13. G. Sh. Guseinov, "Regeneration of a second-order difference equation by the spectral matrix", Mat. Zametki, Vol. 32, No.5(1982), pp 737-746 = Math. Notes, Vol. 32, No. 5 (1982), pp. 853-858.
  14. F. A. Askerov and G. Sh. Guseinov, " The scattering problem for a second-order nonsefadjoint difference equation on the whole axis", Dokl. Akad. Nauk Azerb. SSR, Vol. 40, No.6 (1984), pp. 11-14.
  15. G. Sh. Guseinov, " On a quadratic pencil of Sturm-Liouville operators with periodic coefficients", Vestnik Moskov. Univ., Ser. 1 Math. Mekh., No. 3 (1984), pp. 14-21 = Moscow Univ. Math. Bull., Vol.39(1984).
  16. G. Sh. Guseinov, " Asymptotic formulas for solutions and eigenvalues of quadratic pencil of Sturm-Liouville equations " Preprint No. 113, Inst. Phys. Akad. Nauk Azerb SSR Baku 1984, 49p.
  17. G. Sh. Guseinov and B. M. Levitan, " Sturm-Liouville problem ", Mat. Encyclopaedia, Vol. 5, Moscow, 1985, pp.907-911.
  18. G. Sh. Guseinov and B. M. Levitan, " Sturm-Liouville inverse problem", Mat. Encyclopaedia, Vol.5, Moscow, 1985, pp. 911-915.
  19. G. Sh. Guseinov and B. M. Levitan, " Sturm-Liouville equation", Mat. Encyclopaedia, Vol.5, Moscow, 1985, pp. 916-918.
  20. G. Sh. Guseinov ," On spectral analysis of a puadratic pencil of Sturm-Liouville operators", Dokl. akad. Nauk SSSR, Vol.285, No.6 (1985), pp. 1292-1296 = Soviet Math. Dokl., Vol.32, No.3 (1985), pp. 859-862.
  21. G. Sh. Guseinov ," Spectrum and eigenfunction expansions of a quadratic pencil of Sturm-Liouville operators with periodic coefficients", Spectral Theory of Operators and, Its Applications, No. 6, "Elm", Baku, 1985, pp. 56-97.
  22. G. Sh. Guseinov ," Eigenvector expansions of multiparameter second-order difference equations", Izv. Akad. Nauk Azerb. SSR, Ser. Fiz-Tekhn. Mat. Nauk, Vol 6, No. 6(1985), pp. 12-17.
  23. G. Sh. Guseinov ,"Inverse problems for a quadratic pencil of Sturm-Liouville operators on a finite interval ", Spectral Theory of Operators and Its Applications, No. 7, "Elm", Baku, 1986, pp. 51-101.
  24. G. Sh. Guseinov ," On a wave equation in n-dimensional Lobachevsky space", Spectral Theory of Operators and Its Applications, No. 7, "Elm", Baku, 1986, pp. 102-108.
  25. E. M. Bairamov and G. Sh. Guseinov, " On a characteristic function of a second-order dissipative difference operator", Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekhn. Mat. Nauk, Vol. 7, No. 3 (1986), pp. 18-22.
  26. G. Sh. Guseinov and F. G. Maksudov,"On solution of the inverse scattering problem for a quadratic pencil of one-dimensional Schrödinger operators on the whole axis", Dokl. Akad. Nauk SSSR, vol. 289, No. 1 (1986), pp. 42-46 = Soviet Math. Dokl. Vol. 34, No. 1(1987), pp. 34-38.
  27. G. Sh. Guseinov ," On the spectral theory of the Laplace-Beltrami operator in n-dimensional Lobachevsky space", Spectral Theory of Operators and Its Applications, No. 8, "Elm", Baku, 1987, pp. 83-134.
  28. G. Sh. Guseinov ," On the spectral theory of multiparameter difference equations of second order", Izv. Akad. Nauk SSSR, Ser. Mat., Vol 51, No. 4 (1987), pp. 785-811 = Math. USSR Izvestiya, Vol.31, No. 1(1988), pp. 95-120.
  29. G. Sh. Guseinov ," On the asymptotic behaviour of the spectral function and the discrete spectrum of the Laplace-Beltrami operator on a fundamental domain in n-dimensional Lobachevsky space" Izv. Akad. Nauk Azerb. SSR, Ser, Fiz.-Tekhn. Mat. Nauk, Vol. 8, No.1(1987), pp.26-32.
  30. G. Sh. Guseinov ," Review of some important results on " Spectral analysis of differential operators with almost-periodic coefficients" ", Dep. VINITI, No. 4983-V87, Moscow, 1987, 10p.
  31. B. P. Allakhverdiev and G. Sh. Guseinov " On the spectral theory of dissipative difference operators of second order", Mat. Sb., Vol 180, No.1 (1989), pp. 101-118 = Math. USSR Sbornik, Vol. 66, No.1(1990), pp. 107-125.
  32. M. G. Gasymov and G. Sh. Guseinov " Some uniqueness theorems on inverse problems of spectral analysis for Sturm-Liouville operators in the Weyl limit-circle case", Differentsialnye Uravneniya, Vol. 25, No. 4(1989)pp. 588-599=Differential Equations, Vol. 25, No. 4 (1989), pp. 394-402.
  33. M. G. Gasymov and G. Sh. Guseinov, " On inverse problems of spectral analysis for infinite Jacobi matrices in the limit-circle case", Dokl. Akad. Nauk SSSR, Vol. 309, No. 6 (1989), pp. 1293-1296 = Soviet Math. Dokl. Vol. 40, No. 3 (1990), pp. 627-630.
  34. G. Sh. Guseinov , " Asymptotic behaviour of eigenfunctions and eigenalues of the Laplace-Beltrami operator on the fundamental domain of a discrete group in n-dimensional Lobachevsky space", Spectral Theory of Operators and Its Applications, No. 9, "Elm", Baku, 1989, pp. 91-175.
  35. G. Sh. Guseinov and F.G. Maksudov, " On the inverse scattering problem for a quadratic pencil of Sturm-Liouville operators on the whole axis" Spectral Theory of Operators and Its Applications, No. 9, "Elm", Baku, 1989, pp. 176-211.
  36. G. Sh. Guseinov," On spectral measures of multiparameter difference equations of second order", Spectral Theory of Operators And Its Applications, No. 10 "Elm", Baku, 1991, pp. 97-160.
  37. G. Sh. Guseinov," On the spectral asymptotics of the Laplacian on a fundamental domain in three-dimensional hyperbolic space", Trudy Mat. Inst. Steklov, Vol. 193 (1992),pp.89-94 = Proc. Steklov Inst. Math. Issue 3(1993),pp. 95-100.
  38. G. Sh. Guseinov,"Completeness theorem for the dissipative Sturm-Liouville operator", Turkish Journal of Math. Vol. 17, No. 1(1993), pp. 48-53.
  39. G. Sh. Guseinov,"Spectral analysis of multuparameter second- order differantial equations with periodic coefficients", Algebra and Analysis (Sanct-Petersburg), Vol. 5, No. 4 (1993), pp. -121 = St. Petersburg Math. J., Vol. 5, No. 4 (1994), pp. 745-764.
  40. G. Sh. Guseinov and H. Tuncay, " The Determinants of perturbation connected with a dissipative Sturm-Liouville operator", J. Math. Anal. Appl., Vol. 194 . No.1 (1995), pp.39-49.
  41. G. Sh. Guseinov and E. Kurpinar, " The boundedness of solutions of second-order difference equations", Indian Journal of Math. Vol 37, No. 2 (1995), pp. 113-122.
  42. G. Sh. Guseinov and E. Kurpinar, " On the stability of second order differential equations with periodic coefficients," (Indian) Pure Appl. Math Sci., Vol. 42 (1995), pp. 11-17.
  43. G. Sh. Guseinov and H. Tuncay, " On the inverse scattering problem for a discrete one-dimensional Schrödinger equation ", Commun. Fac Sci. Univ. Ankara, Ser. A1, Vol. 44 (1995), pp. 95-102.
  44. G. Sh. Guseinov and Z. F. Kocak, " On the spectral theory of first-order difference equations with periodic coefficients fractional-linear in the spectral parameter", Bull. Inst. Math. Acad. Sinica, Vol. 24, No. 4 (1996), pp. 299-311.
  45. G. Sh. Guseinov and M. Terziler, " The eigenvalue problem for a matrix of a special form and its applications ", Linear Algebra and Its Applications, Vol 259 (1997), pp. 329-346.
  46. G. Sh. Guseinov and G. Oturanc," On the theory of a certain class of quadratic pencils of matrices and its applications", Turkish Journal of Math., Vol. 21, No. 4 (1997), pp. 409-422.
  47. G. Sh. Guseinov and I. Yaslan, " On Hill's equation with piecewise constant coefficient", Turkish Journal of Math., Vol 21, No.4 (1997), pp. 461-474.
  48. F. M. Atici and G. Sh. Guseinov, " Positive periodic solutions for nonlinear difference equations with periodic coefficients", J. Math.Anal. Appl., Vol. 232 (1999),pp. 166-182.
  49. F. M. Atici and G. Sh. Guseinov, " Criteria for the stabilitiy of second order difference equations with periodic coefficients", Comm. Appl. Anal., Vol. 3(1999), pp. 503-515.
  50. G. Aslim and G. Sh. Guseinov, " Weak semirings, w-semirings, and measures", Bull. Allahabad Math. Soc., Vol. 14 (1999), pp. 1-20.
  51. F. M. Atici, G. Sh. Guseinov, and B. Kaymakcalan, "On Lyapunov inequality in stability theory for Hill's equation on time scales", J. Inequal. Appl. Vol. 5 (2000), pp. 603-620.
  52. F. M. Atici and G. Sh. Guseinov, "On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions", J. Comput. Appl. Math., Vol. 132 (2001), pp. 341-356.
  53. F. Aras and G. Sh. Guseinov, "On the expansions in eigenfunctions of Hill's operator", Turkish Journal of Math., Vol. 25, No. 2 (2001), pp. 323-337.
  54. G. Sh. Guseinov and E. Ozyilmaz, "Tangent lines of generalized regular curves parametrized by time scales", Turkish Journal of Math., Vol. 25, No. 4 (2001), pp. 553-562.
  55. F. M. Atici and G. Sh. Guseinov, "On Green's functions and positive solutions for boundary value problems on time scales" , J. Comput. Appl. Math., Vol. 141 (2002), pp. 75-99.
  56. G. Sh. Guseinov and B. Kaymakcalan, "On a disconjugacy criterion for second order dynamic equations on time scales", J. Comput. Appl. Math., Vol. 141 (2002), pp. 187-196.
  57. G. Sh. Guseinov, "Completeness of the eigenvectors of a dissipative second order difference operator", J. Difference Equations Appl., Vol. 8 (4) (2002), pp. 321-331.
  58. G. Sh. Guseinov and B. Kaymakcalan, "Basics of Riemann delta and nabla integration on time scales", J. Difference Equations Appl., Vol. 8 (11) (2002), pp. 1001-1017.
  59. G. Sh. Guseinov, "A boundary value problem for second order nonlinear difference equations on the semi-infinite interval", J. Difference Equations Appl., Vol. 8 (11) (2002), pp. 1019-1032.
  60. M. Bohner and G. Sh. Guseinov, "Improper integrals on time scales", Dynamic Systems and Applications, Vol. 12 (1&2) (2003), pp. 45-66.
  61. M. Bohner, G. Sh. Guseinov, and A. C. Peterson, "Introduction to the time scales calculus". In M. Bohner and A. Peterson, editors, "Advances in Dynamic Equations on Time Scales", pages 1-15, Birkhauser, Boston, 2003.
  62. M. Bohner and G. Sh. Guseinov, "Riemann and Lebesgue integration". In M. Bohner and A. Peterson, editors, "Advances in Dynamic Equations on Time Scales", pages 117-163, Birkhauser, Boston, 2003.
  63. G. Sh. Guseinov and B. Kaymakcalan, "Lyapunov inequalities for discrete linear Hamiltonian systems", Computers Math. Appl., Vol. 45 (2003), pp. 1399-1416.
  64. G. Sh. Guseinov, "Integration on time scales", J. Math. Anal. Appl., Vol. 285 (2003), pp.107-127.
  65. N. Aykut and G. Sh. Guseinov, "On positive solutions of boundary value problems for nonlinear second order difference equations", Turkish Journal of Math., Vol. 27 (2003), pp. 481-507.
  66. S. Faydaoglu and G. Sh. Guseinov, "Eigenfunction expansion for a Sturm-Liouville boundary value problem with impulse", International Journal of Pure and Applied Mathematics, Vol. 8 (2003), pp. 137-170.
  67. G. Sh. Guseinov and I. Yaslan, "Boundary value problems for second order nonlinear differential equations on infinite intervals", J. Math. Anal. Appl., Vol. 290 (2004), pp. 620-638.
  68. G. Sh. Guseinov and I. Y. Karaca, "Instability intervals of a Hill's equation with piecewise constant and alternating coefficient", Computers Math. Appl., Vol. 47 (2004), pp. 319-326.
  69. G. Sh. Guseinov and B. Kaymakcalan, “On the Riemann integration on time scakles”, Proceedings of the 6th International Conference on Difference Equations, 289-298, CRC, Boca Raton, FL, 2004.
  70. M. Bohner and G. Sh. Guseinov, "Partial differentiation on time scales", Dynamic Systems and Applications, 13 (2004) 351-379.
  71. G. Sh. Guseinov, “Discrete calculus of variatins”, Global analysis and applied mathematics, 170-176, AIP Conf. Proc., 729, Amer. Inst. Phys., Melville, NY, 2004.
  72. F. Dal and G. Sh. Guseinov, “Properties of discrete composition operators”, J. Difference Equ. Appl., 11 (2005) 21-27.
  73. M. Bohner and G. Sh. Guseinov, “Multiple integration on time scales”, Dynam. Systems Appl., 11 (2005) 579-606.
  74. F. Dal and G. Sh. Guseinov, “A boundary value problem for second-order nonlinear difference equations on the integers”, ANZIAM J., 47 (2005) 237-248.
  75. G. Metin, G. Sh. Guseinov, and B. Silindir, “Integrable equations on time scale”, J. Math. Phys., 46 (2005), no. 11, 113510, 22pp.