- Konovalijuk , I. P. and Karasil'nikov , V. N. 1965 . Influence of stiffening rib on plane sould wave reflection from a thin plate . Scattering and Radiation of Waves , 4 : 149 – 165 . Leningrad State Univ., Leningrad, in Russian
- Kouzov , D. P. 1963 . Diffraction of a plane hidroacoustic wave on a crack in an elastic plate . 27 : 1037 – 1043 . in Russian
- Kouzov , D. P. 1964 . On resonance phenomenon in hidroacoustic wave diffraction by a system of cracks in an elastic plate . 28 : 409 – 417 . in Russian
- Andronov , I. V. , Benlinskiy , B. P. and Dauer , J. P. 1996 . Acoustic scattering by a narrow crack in an elastic plate . Wave Motion , 24 : 101 – 115 .
- Berezin , F. A. and Faddeev , L. D. 1966 . A remark onSchrodinger's equation with a singular potential . Dokl. Akad. Nauk SSSR , 137 ( 5 ) : 1011 – 1014 .
- Pavlov , B. S. and Faddeev , M. D. 1983 . Zapiski LOMI . 126 ( 5 ) : 159 – 169 .
- Pavlov , B. S. and Popov , I. Yu. 1983 . Vestnik . 19 ( 5 ) : 36 – 44 .
- Zimnew , M. M. and Popov , I. Yu. 1987 . Zh. vychisl. Mat. mat. Fiz. . 27 ( 3 ) : 466 – 470 .
- Pavlov , B. S. 1990 . Uspechi mat. Nauk . 42 ( 6 ) : 99 – 132 .
- Andronov , I. V. 1990,1995 . Modeling of the scattering processes on a crack in elastic plate with the help of a zero—range potential . Zapiski LOMI , 188,73 ( 6 ) : 14,304 – 19,307 . J. of Math. Sciences
- Ll'in , A. M. 1989 . “ Conjugation of asymptotical expansions of boundary problems solutions ” . Mosco
- Abrahams , I. D. 1981 . Scattering of sound by a heavily loaded finite elastic plate . Proc. R. Soc. , 378 : 89 – 117 . London A
- Andronov , I. V. 1992 . Scattering of sound by a heavily loaded finite elastic plate . Comput. Maths Math. Phys. , 32 ( 2 ) : 236 – 244 .
- Andronov , I. V. 1993 . Application of zero—range models to the problem of diffraction by a small hole in elastic plate . J. of Math. Physics , 34 ( 6 ) : 2226 – 2241 .
- Andronov , I. V. 1995 . Application of Zero—range potentials to problems of diffraction by small inhomogeneities in elastic plates . J. Appl. Maths Mechs , 59 ( 3 ) : 425 – 437 .
- Badanin , A. V. and Pokrovskii , A. A. 1993 . “ Linear operator treatment of a boundary—contact value acoustic problem ” . In IPRT preprint 15 – 93 .
- Landau , L. D. and Lifshits , E. 1965 . Theoretical Physics . Elasticity , 59
- Honl , H. , Maue , A.W. and Westpfahl , K. 1961 . “ Theorie der beugung ” . Berlin, , Heidelberg : Springer-Verlag .
- Andronov , I. , Belinskiy , B. P. and Dauer , J. P. 1996 . The connection between the scattering diagram and the amplitudes of the surface waves for acoustic scattering by a baffled flexible plate . J. of Sound Vibr. , 195 : 667 – 673 .
- Belinskiy , B. P. 1984 . On the uniqueness of a solution of boundary-contact problems in acoustics . Vestnik Leningrad Univ.: Maths, Publ. by the AMS , 16 ( 3 ) : 139 – 146 .
- Belinskiy , B. P. 1985 . Uniqueness and non—uniqueness of the solution of boundary—contact acoustic proplem . J. of Soviet Maths , 30 ( 5 ) : 2378 – 2385 .
- Belinskiy , B. P. 1990 . Comments on an ‘optical’ theorem for acoustic scattering by baffled flexible surfaces . J. Sound Vibration , 139 ( 5 ) : 522 – 523 .
Zero-range potentials in boundary-contact problems of acoustics
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