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Khalili, Yasser, Khaleghi Moghadam, Mohsen. (1401). The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions. سامانه مدیریت نشریات علمی, 10(2), 519-525. doi: 10.22034/cmde.2021.34215.1567
Yasser Khalili; Mohsen Khaleghi Moghadam. "The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions". سامانه مدیریت نشریات علمی, 10, 2, 1401, 519-525. doi: 10.22034/cmde.2021.34215.1567
Khalili, Yasser, Khaleghi Moghadam, Mohsen. (1401). 'The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions', سامانه مدیریت نشریات علمی, 10(2), pp. 519-525. doi: 10.22034/cmde.2021.34215.1567
Khalili, Yasser, Khaleghi Moghadam, Mohsen. The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions. سامانه مدیریت نشریات علمی, 1401; 10(2): 519-525. doi: 10.22034/cmde.2021.34215.1567

The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions

Computational Methods for Differential Equations
مقاله 17، دوره 10، شماره 2، تیر 2022، صفحه 519-525    اصل مقاله (122.75 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.34215.1567
نویسندگان
Yasser Khalili* ؛ Mohsen Khaleghi Moghadam
Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran.
چکیده
In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, π). By taking the Mochizuki-Trooshin’s method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.
کلیدواژه‌ها
. Inverse problem؛ Sturm-Liouville operator with the impulse؛ Spectral boundary condition؛ Spectrum
مراجع
  • [1]          VA. Ambarzumian, Uber eine Frage der Eigenwerttheorie, Zs. f. Phys., 53 (1929), 690-695.
  • [2]          PA. Binding, PJ. Browne and K. Seddighi, Sturm-Liouville problems with eigenparameter dependent boundary conditions, Proc. Roy. Soc. Edinburgh, 37 (1993), 57-72.
  • [3]          Y. Cakmak and S. Isik, Half inverse problem for the impulsive diffusion operator with discontinuous coefficient, Filomat, 30(1) (2016), 157-168.
  • [4]          JB. Conway, Functions of One Complex Variable, Vol. I, Springer, New York, 1995.
  • [5]          G. Freiling and VA. Yurko, Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter, Inverse Probl., 26(6) (2010), 055003.
  • [6]          G. Freiling and VA. Yurko, Inverse Sturm-Liouville Problems and their Applications. NOVA Scince Publ., New York, 2001.
  • [7]          H. Koyunbakan and ES. Panakhov, Solution of a discontinuous inverse nodal problem on a finite interval, Math- ematical and Computer Modelling, 44 (2006), 204-209.
  • [8]          BI. Levin, Distribution of Zeros of Entire Functions, Vol. 5, AMS, 1964.
  • [9]          KhR. Mamedov and FA. Cetinkaya, Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator, Boundary Value Problems, 2014 (2014), 194.
  • [10]        H. Mirzaei, A family of iso spectral fourth order Sturm-Liouville problems and equivalent beam equations Hanif Mirzaei, Mathematical Communications, 23(1) (2018), 15-27.
  • [11]        H. Mirzaei, Higher-order Sturm-Liouville problems with the same eigenvalues, Turkish J. Mathematics, 44(2) (2020), 409-417.
  • [12]        H. Mirzaei, Iso spectral sixth order Sturm-Liouville eigenvalue problems, Computational Methods for Differential Equations, 8(4) (2020), 762-769.
  • [13]        K. Mochizuki and I. Trooshin, Inverse problem for interior spectral data of Sturm-Liouville operator, J. Inverse Ill-Posed Problems, 9 (2001), 425-433.
  • [14]        S. Mosazadeh, Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two sym- metric disjoint intervals, Computational Methods for Differential Equations, 9(1) (2021), 244-257.
  • [15]        A. Neamaty and Y. Khalili, Determination of a differential operator with discontinuity from interior spectral data, Inverse Problems in Science and Engineering, 22(6) (2013), 1002-1008.
  • [16]        A. Neamaty and Y. Khalili, The inverse problem for pencils of differential operators on the half-line with discon- tinuity, Malaysian J. Mathematical Sciences, 9(2) (2015), 175-186.
  • [17]        AA. Neamaty, N. Yousefi and AH. Dabbaghian, The numerical values of the nodal points for the Sturm-Liouville equation with one turning point, Computational Methods for Differential Equations, 7(1) (2019), 124-137.
  • [18]        AS. Ozkan and B. Keskin, Uniqueness theorems for an impulsive Sturm-Liouville boundary value problem, Appl. Math. J. Chinese Univ., 27(4) (2012), 428-434.
  • [19]        ES. Panakhov, H. Koyunbakan, and U. Ic, Reconstruction formula for the potential function of Sturm-Liouville problem with eigenparameter boundary condition, Inverse Problems in Science and Engineering, 18(1) (2010), 173-180.
  • [20]        M. Shahriari, Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions, Computational Methods for Differential Equations, 2(3) (2014), 123-139.
  • [21]        YP. Wang, An interior inverse problem for Sturm-Liouville operators with eigenparameter dependent boundary conditions, Tamkang J. Math., 42(3) (2011), 395-403.
  • [22]        YP. Wang, The inverse problem for differential pencils with eigenparameter dependent boundary conditions from interior spectral data, Applied Mathematics Letters, 25 (2012), 1061-1067.
  • [23]        YP. Wang, CF. Yang, and ZY. Huang, Half inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter, Turkish J. Mathematics, 37 (2013), 445-454.
  • [24]        C. Willis, Inverse Sturm-Liouville problems with two discontinuities, Inverse Problems, 1 (1985), 263-289
  • [25]        CF. Yang and XJ. Yu, Determination of differential pencils with spectral parameter dependent boundary conditions from interior spectral data, Math. Meth. Appl. Sci., 37(6) (2014), 860-869.
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