Geodesic
The jump problem for the Helmholtz equation in a~plane-layered medium and its applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 45-56.

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A. Makher; N. B. Pleschinskii. The jump problem for the Helmholtz equation in a~plane-layered medium and its applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 45-56. http://geodesic.mathdoc.fr/item/IVM_2002_1_a7/

[1] Pleshchinskaya I. E., Pleshchinskii N. B., “The Cauchy problem and potentials for elliptic partial differential equations and some of their applications”, Advances in Equations and Inequalities, 1999, 127–146

[2] Pleshchinskaya I. E., Pleshchinskii N. B., “On classification of eigen waves of planar, cylindrical and spherical dielectric waveguides”, Math. meth. in electromagnetic theory, Proc. Int. Conf. MME$*$98. V. 2 (Kharkov, Ukraine, June 2–5, 1998), 781–783

[3] Pleshchinskii N. B., Tumakov D. N., “On solving diffraction problems for the junctions of open waveguides in the classes of distributions”, Math. meth. in electromagnetic theory, Proc. Int. Conf. MME$*$98. V. 2 (Kharkov, Ukraine, June 2–5, 1998), 801–803

[4] Brekhovskikh L. M., Volny v sloistykh sredakh, Nauka, M., 1973, 343 pp.

[5] Vinogradova M. B., Rudenko O. V., Sukhorukov A. P., Teoriya voln, Nauka, M., 1979, 384 pp. | MR

[6] Adams M., Vvedenie v teoriyu opticheskikh volnovodov, Mir, M., 1984, 512 pp.

[7] Khenl Kh., Maue A., Vestpfal K., Teoriya difraktsii, Mir, M., 1964, 428 pp.

[8] Ilinskii A. S., Smirnov Yu. G., Difraktsiya elektromagnitnykh voln na provodyaschikh tonkikh ekranakh (psevdodifferentsialnye operatory v zadachakh difraktsii), IPRZhR, M., 1996, 176 pp.

[9] Egorov Yu. V., Lineinye differentsialnye uravneniya glavnogo tipa, Nauka, M., 1984, 360 pp. | MR

[10] Brychkov Yu. A., Prudnikov A. P., Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1977, 288 pp. | MR | Zbl

[11] Nobl B., Primenenie metoda Vinera–Khopfa dlya resheniya differentsialnykh uravnenii v chastnykh proizvodnykh, In. lit., M., 1962, 280 pp. | MR | Zbl