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LINEAR INVERSE PROBLEM OF POTENTIAL IN THE ODD-PERIODIC MODELS

Annotation

Obtained steady solution of the linear inverse problem of the potential for infinitely thin flat bodies in the case when the potential is set to a non-planar surface.

Keywords

ill-posed problem; linear inverse problem of the potential; method of Tikhonov regularization

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UDC

519.6

Pages

1249-1255

References

1. Ppilepko A.I. Obpatnye zadachi teopii potenciala // Matem. zametki. 1973. T. 14. № 5. S. 755-767. 2. Laneev E.B. Ustojchivoe reshenie odnoj nekorrektno postavlennoj kraevoj zadachi dlja potencial'nogo polja // Vestnik RUDN. Serija Prikladnaja matematika i informatika. 2000. № 1. S. 105-112. 3. Tihonov A.N., Arsenin V.Ja. Metody reshenija nekorrektnyh zadach. M.: Nauka, 1979. 288 c. 4. Laneev E.B. O nekotoryh postanovkah zadachi prodolzhenija potencial'nogo polja // Vestnik RUDN. Serija Fizika. 2000. № 8(1). S. 21-28. 5. Laneev E.B. O pogreshnosti periodicheskoj modeli zadache prodolzhenija potencial'nogo polja // Vestnik RUDN. Serija Fizika. 2001. № 9(1). C. 4-16. 6. Kolmogorov A.N., Fomin S.V. Jelementy teorii funkcij i funkcional'nogo analiza. M.: Nauka, 1972. 496 s.

Received

2015-05-26

Section of issue

Scientific articles

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