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. M. Bohner and G. Sh. Guseinov, "Partial differentiation on time scales", Dynamic Systems and Applications, (2004). To appear.

  70. G. Sh. Guseinov and A. Zafer, "Stability criterion for second order linear impulsive differential equations with periodic coefficients", J. Math. Anal. Appl., (2004). To appear.