Edit Profile (opens in new tab) Derguzov, Victor Ivanovich Co-Author Distance Author ID: derguzov.v-i Published as: Derguzov, V. I. External Links: MGP · Math-Net.Ru Documents Indexed: 63 Publications since 1963 Co-Authors: 6 Co-Authors with 12 Joint Publications 123 Co-Co-Authors all top 5 Co-Authors 51 single-authored 7 Denisova, I. V. 2 Yakubovich, Vladimir Andreevich 1 Lobanova, S. R. 1 Mahalov, Alex 1 Melan’ina, T. M. 1 Timchenko, N. A. all top 5 Serials 16 Problemy Matematicheskogo Analiza 8 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 7 Journal of Soviet Mathematics 6 Vestnik St. Petersburg University. Mathematics 5 Vestnik Leningrad University. Mathematics 5 Journal of Mathematical Sciences (New York) 3 Siberian Mathematical Journal 3 Soviet Mathematics. Doklady 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Selecta Mathematica Sovietica 1 Doklady Akademii Nauk SSSR 1 Sibirskiĭ Matematicheskiĭ Zhurnal all top 5 Fields 39 Partial differential equations (35-XX) 32 Optics, electromagnetic theory (78-XX) 16 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 52 times in 29 Documents Cited by ▼ Year ▼ Über die Stabilität der Lösungen von Hamiltonschen Gleichungen mit unbeschränkten periodischen Operator-Koeffizienten. Zbl 0117.34402 Derguzov, V. I. 6 1964 Discreteness of the spectrum of a periodic boundary-value problem related to the radiation of periodic waveguides. Zbl 0489.34064 Derguzov, V. I. 5 1980 Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide. Zbl 0643.35069 Derguzov, V. I. 3 1986 The spectrum of a plane periodic dielectrical waveguide. Zbl 0484.35061 Derguzov, V. I. 3 1981 Mathematische Untersuchung periodischer zylindrischer Wellenleiter. II. Zbl 0257.35028 Derguzov, V. I. 3 1972 Solution of an ill-posed problem for one class of linear equations with periodic coefficients. Zbl 0285.34040 Derguzov, V. I. 3 1973 Projection operators of a three-dimensional periodic waveguide. Zbl 1113.35319 Derguzov, V. I.; Denisova, I. V. 2 2003 On the stability of solutions of Hamiltonian equations in Hilbert space with unbounded periodic operator coefficients. Zbl 0148.13101 Derguzov, V. I. 2 1963 Projecting and resolving operators for a three-dimensional waveguide. Zbl 1099.35027 Derguzov, V. I.; Denisova, I. V. 2 2005 The mathematical investigation of periodic wave guides with anisotropic filling. Zbl 0417.35038 Derguzov, V. I. 2 1979 Existence of solutions of linear Hamilton equations with unbounded operator coefficients. Zbl 0202.14903 Derguzov, V. I.; Yakubovich, V. A. 2 1963 Boundedness of the resolvent of an optical waveguide on the continuous spectrum. Zbl 0831.45010 Derguzov, V. I. 1 1993 The existence of solutions of linear Hamiltonian equations with unbounded operators. (Die Existenz von Lösungen linearer Hamiltonscher Gleichungen mit nicht beschränkten Operatoren.) Zbl 0208.12501 Derguzov, V. I.; Yakubovich, V. A. 1 1969 The characteristic spectrum of the reduced wave equation with periodic coefficients in the three-dimensional space. Zbl 0987.35115 Derguzov, V. I.; Denisova, I. V. 1 2000 Invariant subspaces of three-dimensional periodic lightguides. Zbl 1054.35101 Derguzov, V. I.; Denisova, I. V. 1 2001 Hinreichende Bedingungen für die Stabilität der Hamiltonschen Gleichungen mit unbeschränkten periodischen Operatorkoeffizienten. Zbl 0135.36901 Derguzov, V. I. 1 1964 Notwendige Bedingungen der starken Stabilität Hamiltonscher Gleichungen mit unbeschränkten periodischen Operatorkoeffizienten. Zbl 0135.36902 Derguzov, V. I. 1 1964 Gebiete starker Stabilität linearer Hamiltonscher Gleichungen mit periodischen Operatorkoeffizienten. Zbl 0213.11101 Derguzov, V. I. 1 1969 Solution of an anticanonical equation with periodic coefficients. Zbl 0217.45204 Derguzov, V. I. 1 1970 Über die Wellenfortpflanzung in periodischen Strukturen in einer vorgegebenen Richtung. Zbl 0262.35008 Derguzov, V. I. 1 1973 On the discreteness of the spectrum of non-self-adjoint periodic boundary-value problems. Zbl 0297.35057 Derguzov, V. I. 1 1974 Spreading waves in a three-dimensional dielectric periodic waveguide described by the generalized reduced wave equation. Zbl 1099.35055 Derguzov, V. I.; Denisova, I. V. 1 2004 Singular points of the continuous spectrum of a two-dimensional periodic light guide. Zbl 0701.35125 Derguzov, V. I. 1 1986 Properties of asymptotic coefficients of functions of the continuous spectrum of a light-guide. Zbl 0779.35082 Derguzov, V. I. 1 1990 Operator Hamiltonian equations and anticanonical equations with periodic coefficients. Zbl 0392.58002 Derguzov, V. I. 1 1973 On uniqueness of solutions of a special class of differential equations with periodic coefficients. Zbl 0404.34003 Derguzov, V. I. 1 1978 The spectrum of the Hamilton operator with periodic coefficients. Zbl 0446.47043 Derguzov, V. I. 1 1979 Application of the methods of perturbation theory of linear differential equations with periodic coefficients. Zbl 0453.34046 Derguzov, V. I.; Melan’ina, T. M.; Timchenko, N. A. 1 1975 The spectrum of Hamilton’s operator with periodic coefficients. Zbl 0457.47041 Derguzov, V. I. 1 1980 Projecting and resolving operators of a periodic waveguide. Zbl 1202.35073 Derguzov, V. I. 1 2007 Projecting and resolving operators of a periodic waveguide. Zbl 1202.35073 Derguzov, V. I. 1 2007 Projecting and resolving operators for a three-dimensional waveguide. Zbl 1099.35027 Derguzov, V. I.; Denisova, I. V. 2 2005 Spreading waves in a three-dimensional dielectric periodic waveguide described by the generalized reduced wave equation. Zbl 1099.35055 Derguzov, V. I.; Denisova, I. V. 1 2004 Projection operators of a three-dimensional periodic waveguide. Zbl 1113.35319 Derguzov, V. I.; Denisova, I. V. 2 2003 Invariant subspaces of three-dimensional periodic lightguides. Zbl 1054.35101 Derguzov, V. I.; Denisova, I. V. 1 2001 The characteristic spectrum of the reduced wave equation with periodic coefficients in the three-dimensional space. Zbl 0987.35115 Derguzov, V. I.; Denisova, I. V. 1 2000 Boundedness of the resolvent of an optical waveguide on the continuous spectrum. Zbl 0831.45010 Derguzov, V. I. 1 1993 Properties of asymptotic coefficients of functions of the continuous spectrum of a light-guide. Zbl 0779.35082 Derguzov, V. I. 1 1990 Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide. Zbl 0643.35069 Derguzov, V. I. 3 1986 Singular points of the continuous spectrum of a two-dimensional periodic light guide. Zbl 0701.35125 Derguzov, V. I. 1 1986 The spectrum of a plane periodic dielectrical waveguide. Zbl 0484.35061 Derguzov, V. I. 3 1981 Discreteness of the spectrum of a periodic boundary-value problem related to the radiation of periodic waveguides. Zbl 0489.34064 Derguzov, V. I. 5 1980 The spectrum of Hamilton’s operator with periodic coefficients. Zbl 0457.47041 Derguzov, V. I. 1 1980 The mathematical investigation of periodic wave guides with anisotropic filling. Zbl 0417.35038 Derguzov, V. I. 2 1979 The spectrum of the Hamilton operator with periodic coefficients. Zbl 0446.47043 Derguzov, V. I. 1 1979 On uniqueness of solutions of a special class of differential equations with periodic coefficients. Zbl 0404.34003 Derguzov, V. I. 1 1978 Application of the methods of perturbation theory of linear differential equations with periodic coefficients. Zbl 0453.34046 Derguzov, V. I.; Melan’ina, T. M.; Timchenko, N. A. 1 1975 On the discreteness of the spectrum of non-self-adjoint periodic boundary-value problems. Zbl 0297.35057 Derguzov, V. I. 1 1974 Solution of an ill-posed problem for one class of linear equations with periodic coefficients. Zbl 0285.34040 Derguzov, V. I. 3 1973 Über die Wellenfortpflanzung in periodischen Strukturen in einer vorgegebenen Richtung. Zbl 0262.35008 Derguzov, V. I. 1 1973 Operator Hamiltonian equations and anticanonical equations with periodic coefficients. Zbl 0392.58002 Derguzov, V. I. 1 1973 Mathematische Untersuchung periodischer zylindrischer Wellenleiter. II. Zbl 0257.35028 Derguzov, V. I. 3 1972 Solution of an anticanonical equation with periodic coefficients. Zbl 0217.45204 Derguzov, V. I. 1 1970 The existence of solutions of linear Hamiltonian equations with unbounded operators. (Die Existenz von Lösungen linearer Hamiltonscher Gleichungen mit nicht beschränkten Operatoren.) Zbl 0208.12501 Derguzov, V. I.; Yakubovich, V. A. 1 1969 Gebiete starker Stabilität linearer Hamiltonscher Gleichungen mit periodischen Operatorkoeffizienten. Zbl 0213.11101 Derguzov, V. I. 1 1969 Über die Stabilität der Lösungen von Hamiltonschen Gleichungen mit unbeschränkten periodischen Operator-Koeffizienten. Zbl 0117.34402 Derguzov, V. I. 6 1964 Hinreichende Bedingungen für die Stabilität der Hamiltonschen Gleichungen mit unbeschränkten periodischen Operatorkoeffizienten. Zbl 0135.36901 Derguzov, V. I. 1 1964 Notwendige Bedingungen der starken Stabilität Hamiltonscher Gleichungen mit unbeschränkten periodischen Operatorkoeffizienten. Zbl 0135.36902 Derguzov, V. I. 1 1964 On the stability of solutions of Hamiltonian equations in Hilbert space with unbounded periodic operator coefficients. Zbl 0148.13101 Derguzov, V. I. 2 1963 Existence of solutions of linear Hamilton equations with unbounded operator coefficients. Zbl 0202.14903 Derguzov, V. I.; Yakubovich, V. A. 2 1963 all cited Publications top 5 cited Publications all top 5 Cited by 28 Authors 12 Derguzov, Victor Ivanovich 2 Arosio, Alberto 1 Alshammari, Bader 1 Artamonov, Nikita V. 1 Azizov, Tomas Ya. 1 Belonosov, Vladimir S. 1 Bunoiu, Renata 1 Cardone, Giuseppe 1 Hoang, Vu Phuong 1 Iokhvidov, I. S. 1 Khatskevich, Viktor Anatol’evich 1 Mahalov, Alex 1 Mahalov, Alexis S. 1 Malykhin, K. V. 1 Melan’ina, T. M. 1 Radosz, Maria 1 Senderov, Valerii Anatol’evich 1 Shargorodsky, Eugene 1 Shkalikov, Andreĭ Andreevich 1 Skazka, Valeriy V. 1 Sobolev, Alexander V. 1 Suslina, Tat’yana Aleksandrovna 1 Textorius, Björn 1 Timchenko, N. A. 1 Treshchev, Dmitriĭ Valer’evich 1 Welters, Aaron T. 1 Yakubovich, Vladimir Andreevich 1 Zelik, Sergey V. all top 5 Cited in 15 Serials 8 Journal of Soviet Mathematics 3 Mathematical Notes 3 Siberian Mathematical Journal 3 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Mathematische Zeitschrift 1 Analysis and Mathematical Physics all top 5 Cited in 13 Fields 18 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 10 Optics, electromagnetic theory (78-XX) 5 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Citations by Year