Article or book title, author's surname, DOI

About completeness of the systems of the boundary conditions of boundary value problems, solved in the unclosed form

V. A. Malakhov1, E. V. Pavlovich2, A. A. Raevskaya3

research article UDC УДК 621.396 Pages: 67-74

  1. 1 Dr.Sc. (Eng.), Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev
  2. 2 Head of 1203 VP of RF DoD, FSUE FRPC “Measuring System Research Institute n.a. Yu.Ye. Sedakov”
  3. 3 Post-graduate Student, Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Engineer, FSUE FRPC “Measuring System Research Institute n.a. Yu.Ye. Sedakov”

Abstract

It is shown by example of periodically irregular guiding structures how incompleteness of the system of the boundary conditions of the boundary problems to be solved in the open form, results in the loss of some of their decisions, that is, to the incompleteness of the wave spectrum.

How to cite

Малахов В.А., Павлович Е.В., Раевская А.А. О полноте систем граничных условий краевых задач, решаемых в незамкнутой форме // Антенны. 2017. № 9. С. 67–74.

References
  1. Veselov G.I., Raevskij S.B. Kompleksnye volny v poperechno-neodnorodnykh napravlyayushchikh strukturakh // Radiotekhnika. 1987. T. 42. № 8. S. 64–67.
  2. Veselov G.I., Raevskij S.B. Sloistye metallo-die'lektricheskie volnovody. M.: Radio i svyaz'. 1988.
  3. Raevskij A.S., Raevskij S.B. Neodnorodnye napravlyayushchie struktury, opisyvaemye nesamosopryazhennymi operatorami. M.: Radiotekhnika. 2004.
  4. Raevskij A.S., Raevskij S.B. Kompleksnye volny. M.: Radiotekhnika. 2010.
  5. Najmark M.A. Linejnye differencial'nye operatory. M.: Nauka. 1969.
  6. Sobolev S.A. Uravneniya matematicheskoj fiziki. M.: Nauka. 1966.
  7. Ilarionov Yu.A., Raevskij S.B., Smorgonskij V.Ya. Raschet gofrirovannykh i chastichno zapolnennykh volnovodov. M.: Sov. radio. 1980.
  8. Raevskij S.B., Smorgonskij V.Ya. Dispersionnoe uravnenie gofrirovannogo e'llipticheskogo volnovoda // Radiotekhnika i e'lektronika. 1972. T. 17. № 6. S. 1297–1300.
  9. Murad-Muradovich A.I., Raevskij S.B. O kompleksnykh volnakh kruglogo otkrytogo gofrirovannogo volnovoda // Radiotekhnika i e'lektronika. 1999. T. 44. № 1. S. 10–13.