Derguzov, V. I. Diffraction problem for periodic waveguides. (English. Russian original) Zbl 1202.35074 J. Math. Sci., New York 154, No. 1, 23-38 (2008); translation from Probl. Mat. Anal. 37, 23-36 (2008). MSC: 35J25 35A01 35B10 35B30 76Q05 78A40 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Math. Sci., New York 154, No. 1, 23--38 (2008; Zbl 1202.35074); translation from Probl. Mat. Anal. 37, 23--36 (2008) Full Text: DOI OpenURL
Derguzov, V. I. Projecting and resolving operators of a periodic waveguide. (English. Russian original) Zbl 1202.35073 J. Math. Sci., New York 144, No. 6, 4581-4591 (2007); translation from Probl. Mat. Anal. 35, 47-57 (2007). MSC: 35J25 35P05 47F05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Math. Sci., New York 144, No. 6, 4581--4591 (2007; Zbl 1202.35073); translation from Probl. Mat. Anal. 35, 47--57 (2007) Full Text: DOI OpenURL
Derguzov, V. I.; Denisova, I. V. Spreading waves in a three-dimensional dielectric periodic waveguide described by the generalized reduced wave equation. (Russian, English) Zbl 1099.35055 Probl. Mat. Anal. 29, 17-24 (2004); translation in J. Math. Sci., New York 124, No. 3, 4958-4967 (2004). MSC: 35L05 35B10 35J25 35P05 78A50 47F05 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{I. V. Denisova}, Probl. Mat. Anal. 29, 17--24 (2004; Zbl 1099.35055); translation in J. Math. Sci., New York 124, No. 3, 4958--4967 (2004) Full Text: DOI OpenURL
Derguzov, V. I.; Denisova, I. V. Projection and resolving operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1128.35321 Vestn. St. Petersbg. Univ., Math. 36, No. 3, 18-20 (2003); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2003, No. 3, 20-22 (2003). MSC: 35J25 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{I. V. Denisova}, Vestn. St. Petersbg. Univ., Math. 36, No. 3, 18--20 (2003; Zbl 1128.35321); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2003, No. 3, 20--22 (2003) OpenURL
Derguzov, V. I.; Denisova, I. V. Projection operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1113.35319 J. Math. Sci., New York 117, No. 3, 4122-4156 (2003); translation from Probl. Mat. Anal. 26, 87-138 (2003). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35J25 35B10 47F05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{I. V. Denisova}, Probl. Mat. Anal. 26, 87--138 (2003; Zbl 1113.35319); translation from Probl. Mat. Anal. 26, 87--138 (2003) OpenURL
Derguzov, V. I.; Denisova, I. V. The spectrum of a periodic lightguide in three-dimensional space. (English. Russian original) Zbl 1113.78311 J. Math. Sci., New York 112, No. 1, 3997-4014 (2002); translation from Probl. Mat. Anal. 24, 103-130 (2002). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 78A50 35B10 35J25 35P05 47F05 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{I. V. Denisova}, Probl. Mat. Anal. 24, 103--130 (2002; Zbl 1113.78311); translation from Probl. Mat. Anal. 24, 103--130 (2002) OpenURL
Derguzov, V. I.; Denisova, I. V. Invariant subspaces of three-dimensional periodic lightguides. (English. Russian original) Zbl 1054.35101 J. Math. Sci., New York 107, No. 3, 3807-3814 (2001); translation from Probl. Mat. Anal. 23, 3-13 (2001). Reviewer: V. Grebenev (Novosibirsk) MSC: 35Q60 35P05 35J25 78A10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{I. V. Denisova}, Probl. Mat. Anal. 23, 3--13 (2001; Zbl 1054.35101); translation from Probl. Mat. Anal. 23, 3--13 (2001) OpenURL
Derguzov, V. I. Solvability of lightguide integral equations. (Russian, English) Zbl 1060.78507 Probl. Mat. Anal. 19, 89-100 (1999); translation in J. Math. Sci., New York 101, No. 2, 2930-2937 (2000). Reviewer: V. Grebenev (Novosibirsk) MSC: 78A10 45A05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 19, 89--100 (2000; Zbl 1060.78507); translation in J. Math. Sci., New York 101, No. 2, 2930--2937 (2000) OpenURL
Derguzov, V. I. Integral equations of a three-dimensional light guide. (English. Russian original) Zbl 1043.78544 Vestn. St. Petersbg. Univ., Math. 32, No. 4, 18-21 (1999); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 4, 22-25 (1999). MSC: 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. St. Petersbg. Univ., Math. 32, No. 4, 18--21 (1999; Zbl 1043.78544); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 4, 22--25 (1999) OpenURL
Derguzov, V. I. Orthogonalization of eigenfunctions of a three-dimensional light guide. (English. Russian original) Zbl 1036.78500 Vestn. St. Petersbg. Univ., Math. 31, No. 1, 4-7 (1998); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1998, No. 1, 6-9 (1998). MSC: 78A10 35P10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. St. Petersbg. Univ., Math. 31, No. 1, 4--7 (1998; Zbl 1036.78500); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1998, No. 1, 6--9 (1998) OpenURL
Derguzov, V. I. Integral equations of a two-dimensional light-guide. (English. Russian original) Zbl 0946.35104 J. Math. Sci., New York 98, No. 6, 679-683 (2000); translation from Probl. Mat. Anal. 18, 78-84 (1998). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 35Q60 78A50 35L05 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 18, 78--84 (1998; Zbl 0946.35104); translation from Probl. Mat. Anal. 18, 78--84 (1998) OpenURL
Derguzov, V. I. Normalization of eigenfunctions of the continuous spectrum of a three-dimensional periodic lightguide. (English. Russian original) Zbl 0944.35059 J. Math. Sci., New York 92, No. 6, 4273-4284 (1998); translation from Probl. Mat. Anal. 16, 68-87 (1997). MSC: 35P20 35Q60 78A25 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Math. Sci., New York 92, No. 6, 1 (1997; Zbl 0944.35059); translation from Probl. Mat. Anal. 16, 68--87 (1997) Full Text: DOI OpenURL
Derguzov, V. I. Biorthogonal eigenfunction systems for a light guide continuum. (English. Russian original) Zbl 1092.78511 Vestn. St. Petersbg. Univ., Math. 29, No. 1, 22-24 (1996); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1996, No. 1, 21-24 (1996). MSC: 78A60 35Q60 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. St. Petersbg. Univ., Math. 29, No. 1, 22--24 (1996; Zbl 1092.78511); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1996, No. 1, 21--24 (1996) OpenURL
Derguzov, V. I. Invariant subspaces of a lightguide with periodic boundary. (English. Russian original) Zbl 0855.35120 J. Math. Sci., New York 77, No. 4, 3295-3302 (1995); translation from Probl. Mat. Anal. 14, 51-62 (1995). MSC: 35Q60 78A50 35P20 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Math. Sci., New York 77, No. 4, 3295--3302 (1995; Zbl 0855.35120); translation from Probl. Mat. Anal. 14, 51--62 (1995) Full Text: DOI OpenURL
Derguzov, V. I. Invariant subspaces of an optical waveguide with periodic boundary. (Russian) Zbl 0893.35121 Probl. Mat. Anal. 14, 51-62 (1995). MSC: 35Q60 78A50 35P05 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 14, 51--62 (1995; Zbl 0893.35121) OpenURL
Derguzov, V. I. The spectrum of a multilayer periodic dielectric waveguide. (English. Russian original) Zbl 0884.35107 Vestn. St. Petersbg. Univ., Math. 28, No. 4, 50-53 (1995); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1995, No. 4, 97-100 (1995). MSC: 35P05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. St. Petersbg. Univ., Math. 28, No. 4, 50--53 (1995; Zbl 0884.35107); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1995, No. 4, 97--100 (1995) OpenURL
Derguzov, V. I. Boundedness of the resolvent of an optical waveguide on the continuous spectrum. (English. Russian original) Zbl 0831.45010 Vestn. St. Petersbg. Univ., Math. 26, No. 1, 7-10 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 1, 9-13 (1993). MSC: 45K05 45C05 35Q60 35P05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. St. Petersbg. Univ., Math. 26, No. 1, 7--10 (1993; Zbl 0831.45010); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 1, 9--13 (1993) OpenURL
Derguzov, V. I.; Lobanova, S. R. The resolvent of a periodic optical waveguide on the continuous spectrum. (English. Russian original) Zbl 0847.35037 J. Math. Sci., New York 73, No. 6, 657-662 (1995); translation from Probl. Mat. Anal. 13, 79-89 (1992). MSC: 35J15 78A50 35P05 PDF BibTeX XML Cite \textit{V. I. Derguzov} and \textit{S. R. Lobanova}, J. Math. Sci., New York 73, No. 6, 1 (1992; Zbl 0847.35037); translation from Probl. Mat. Anal. 13, 79--89 (1992) Full Text: DOI OpenURL
Derguzov, V. I. An eigenfunction subspace of an optical waveguide with periodic boundary. (Russian) Zbl 0895.47002 Probl. Mat. Anal. 12, 53-60 (1992). MSC: 47A10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 12, 53--60 (1992; Zbl 0895.47002) OpenURL
Derguzov, V. I. Properties of asymptotic coefficients of functions of the continuous spectrum of a light-guide. (Russian) Zbl 0779.35082 Probl. Mat. Anal. 11, 161-176 (1990). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P99 78A50 35Q60 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 11, 161--176 (1990; Zbl 0779.35082) OpenURL
Derguzov, V. I. Properties of asymptotic coefficients of the functions of the continuous spectrum of a lightguide. (English. Russian original) Zbl 0791.35095 J. Sov. Math. 64, No. 6, 1331-1340 (1993); translation from Probl. Mat. Anal. 11, 161-176 (1990). MSC: 35P99 78A50 35Q60 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Sov. Math. 64, No. 6, 1331--1340 (1990; Zbl 0791.35095); translation from Probl. Mat. Anal. 11, 161--176 (1990) Full Text: DOI OpenURL
Derguzov, V. I. Singular points of the continuous spectrum of a two-dimensional periodic waveguide. (English. Russian original) Zbl 0718.35073 J. Sov. Math. 45, No. 3, 1199-1205 (1989); translation from Probl. Mat. Anal. 10, 116-123 (1986). MSC: 35P99 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Sov. Math. 45, No. 3, 1199--1205 (1989; Zbl 0718.35073); translation from Probl. Mat. Anal. 10, 116--123 (1986) Full Text: DOI OpenURL
Derguzov, V. I. An eigenfunction subspace of a two-dimensional periodic lightguide. (English. Russian original) Zbl 0695.35187 Vestn. Leningr. Univ., Math. 21, No. 4, 31-35 (1988); translation from Vestn. Leningr. Univ., Ser. I 1988, No. 4, 26-30 (1988). MSC: 35Q99 35P99 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. Leningr. Univ., Math. 21, No. 4, 31--35 (1988; Zbl 0695.35187); translation from Vestn. Leningr. Univ., Ser. I 1988, No. 4, 26--30 (1988) OpenURL
Derguzov, V. I. Mathematical investigation of periodic waveguides with anisotropic filling. (English) Zbl 0614.35026 Sel. Math. Sov. 6, 79-99 (1987). MSC: 35J25 78A50 35Q99 34G10 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Sel. Math. Sov. 6, 79--99 (1987; Zbl 0614.35026) OpenURL
Derguzov, V. I. Singular points of the continuous spectrum of a two-dimensional periodic light guide. (Russian) Zbl 0701.35125 Probl. Mat. Anal. 10, 116-123 (1986). Reviewer: J.Appell MSC: 35P99 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 10, 116--123 (1986; Zbl 0701.35125) OpenURL
Derguzov, V. I. Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide. (English. Russian original) Zbl 0643.35069 J. Sov. Math. 35, 2170-2179 (1986); translation from Probl. Mat. Anal. 9, 18-34 (1984). MSC: 35P05 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, J. Sov. Math. 35, 2170--2179 (1986; Zbl 0643.35069); translation from Probl. Mat. Anal. 9, 18--34 (1984) Full Text: DOI OpenURL
Derguzov, V. I. The spectrum of a plane periodic dielectric waveguide. (English) Zbl 0582.35086 Sel. Math. Sov. 4, 249-258 (1985). MSC: 35P05 47A10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Sel. Math. Sov. 4, 249--258 (1985; Zbl 0582.35086) OpenURL
Derguzov, V. I. The spectrum of a plane periodic dielectrical waveguide. (Russian) Zbl 0484.35061 Probl. Mat. Anal. 8, 26-35 (1981). MSC: 35P05 47A10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 8, 26--35 (1981; Zbl 0484.35061) OpenURL
Derguzov, V. I. The behavior of operator solutions of the equations of the electromagnetic field of a periodic cylindrical waveguide in the neighborhood of a singular point of the parameter. (English) Zbl 0462.35081 Vestn. Leningr. Univ., Math. 9, 97-103 (1981). MSC: 35Q99 78A50 47A62 34G10 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. Leningr. Univ., Math. 9, 97--103 (1981; Zbl 0462.35081) OpenURL
Derguzov, V. I. The mathematical investigation of periodic wave guides with anisotropic filling. (Russian) Zbl 0417.35038 Probl. Mat. Anal. 7, 41-69 (1979). MSC: 35J25 78A50 34G10 35Q99 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Probl. Mat. Anal. 7, 41--69 (1979; Zbl 0417.35038) OpenURL
Derguzov, V. I. Mathematische Untersuchung periodischer zylindrischer Wellenleiter. II. (Russian) Zbl 0257.35028 Vestn. Leningr. Univ. 1972, No. 19, Mat. Mekh. Astron. 1972, No. 4, 14-20 (1972). MSC: 35Q99 35J25 47A10 78A50 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1972, No. 4, 14--20 (1972; Zbl 0257.35028) OpenURL
Derguzov, V. I. Mathematische Untersuchung periodischer zylindrischer Wellenleiter. (Russian) Zbl 0257.35027 Vestn. Leningr. Univ. 1972, No. 13, Mat. Mekh. Astron. 1972, No. 3, 32-40 (1972). MSC: 35J25 47A10 78A50 35Q99 PDF BibTeX XML Cite \textit{V. I. Derguzov}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1972, No. 3, 32--40 (1972; Zbl 0257.35027) OpenURL