دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,561
تعداد مقالات19,051
تعداد مشاهده مقاله65,259,696
تعداد دریافت فایل اصل مقاله23,849,248
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.
آمار
تعداد مشاهده مقاله: 996
تعداد دریافت فایل اصل مقاله: 1,019


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب