Edit Profile (opens in new tab) Melnikov, Yuri B. Compute Distance To: Compute Author ID: melnikov.yuri-b Published as: Mel’nikov, Yu. B.; Melnikov, Yu. B.; Melnikov, Yu.; Melnikov, Yuri B.; Melnikov, Y. B. more...less Documents Indexed: 48 Publications since 1982 Co-Authors: 18 Co-Authors with 32 Joint Publications 381 Co-Co-Authors all top 5 Co-Authors 15 single-authored 16 Kuperin, Yuri A. 6 Antoniou, Ioannis E. 4 Pavlov, Boris Sergeevich 4 Turuntaeva, Irina V. 3 Levin, S. B. 3 Merkur’ev, Stanislav Petrovich 3 Yarevsky, Evgeny A. 2 Gadella, Manuel 2 Kurasov, Pavel B. 2 Makarov, Konstantin A. 2 Pron’ko, G. P. 2 Starostin, A. I. 1 Dmitrieva, L. A. 1 Gutnikov, Sergei 1 Jáuregui, A. 1 Karp, Dmitriĭ Borisovich 1 Shkarin, Stanislav A. 1 Suchanecki, Zdzislaw 1 Wehrhahn, Rodolfo Francisco all top 5 Serials 9 Journal of Mathematical Physics 6 Chaos, Solitons and Fractals 3 Computers & Mathematics with Applications 2 Letters in Mathematical Physics 2 Soviet Mathematics 1 Analysis Mathematica 1 Algebra and Logic 1 Journal of Computational and Applied Mathematics 1 Siberian Mathematical Journal 1 Annals of Physics 1 Journal of Physics A: Mathematical and General 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Russian Mathematics 1 Trudy Instituta Matematiki i Mekhaniki 1 Discrete Dynamics in Nature and Society 1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya all top 5 Fields 23 Quantum theory (81-XX) 18 Operator theory (47-XX) 9 Group theory and generalizations (20-XX) 7 Partial differential equations (35-XX) 7 Integral equations (45-XX) 7 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 98 times in 46 Documents Cited by ▼ Year ▼ Two-body scattering on a graph and application to simple nanoelectronic devices. Zbl 0843.35070Melnikov, Yu. B.; Pavlov, B. S. 14 1995 Integral-difference collision operators: analytical and numerical spectral analysis. Zbl 0964.82031Melnikov, Yu.; Yarevsky, E. 8 1999 On spectral analysis of an integral-difference operator. Zbl 0887.45001Melnikov, Yu. 8 1997 On spectral analysis of a class of integral-difference collision operators. Zbl 0949.47039Melnikov, Yuri 6 1999 Scattering on graphs and one-dimensional approximations to \(N\)-dimensional Schrödinger operators. Zbl 1053.82011Melnikov, Yu.; Pavlov, B. 6 2001 On the concentration of the spectrum of integral-difference collision operator with Gaussian equilibrium distribution function in a vicinity of zero. Zbl 1061.82507Melnikov, Yu. 6 2001 Resonances and the extension of dynamics to rigged Hilbert spaces. Zbl 0897.47012Antoniou, I.; Dmitrieva, L.; Kuperin, Yu.; Melnikov, Yu. 6 1997 Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems. Zbl 1084.47040Melnikov, Yuri B. 6 2004 New spectral estimations for a class of integral-difference operators and generalisation to higher dimensions. Zbl 1351.45012Melnikov, Yuri B. 5 2016 A simple non-linear model of immune response. Zbl 1032.92008Gutnikov, Sergei; Melnikov, Yuri 4 2003 Representation of the derivatives and products of the delta function in Hilbert space. Zbl 0954.46028Melnikov, Yuri 4 1999 The connection between the rigged Hilbert space and the complex scaling approaches for resonances. The Friedrichs model. Zbl 1006.81022Antoniou, I.; Melnikov, Yu.; Yarevsky, E. 4 2001 Non-factorizable extensions of the Liouville operator: the Friedrichs model. Zbl 1006.81020Antoniou, I.; Melnikov, Yu. 3 2001 On a new class of special functions generated by integral-difference operators. Zbl 1472.33010Melnikov, Yuri B.; Turuntaeva, Irina V. 3 2018 Examples of Gamow vectors. Zbl 1024.81048Antoniou, I. E.; Gadella, M.; Melnikov, Yu.; Pronko, G. P. 2 2001 Connections and effective S-matrix in triangle representation for quantum scattering. Zbl 0733.58042Kuperin, Yu. A.; Kurasov, P. B.; Melnikov, Yu. B.; Merkuriev, S. P. 2 1991 Extended spectral decompositions of the Rényi map. Zbl 1160.37305Antoniou, I.; Melnikov, Yu.; Shkarin, S.; Suchanecki, Z. 2 2000 Quantum scattering problem in triangle representation and induced gauge fields. Zbl 0739.58008Kuperin, Yu. A.; Melnikov, Yu. B.; Pavlov, B. S. 2 1989 Application of extension theory to antiproton-nucleon systems with continuous set of resonances in annihilation channel. Zbl 0897.47056Kuperin, Yu. A.; Levin, S. B.; Melnikov, Yu. B.; Yarevsky, E. A. 1 1997 Quantum mechanics inversion for symmetry scattering. Zbl 0789.47041Wehrhahn, R. F.; Melnikov, Yu. B. 1 1993 Quasicopied \(p\)-groups with an Abelian maximal subgroup. Zbl 0808.20024Mel’nikov, Yu. B. 1 1990 Gamov vectors for barrier wells. Zbl 1024.81049Antoniou, I. E.; Gadella, M.; Hernández, E.; Jáuregui, A.; Melnikov, Yu.; Mondragón, A.; Pronko, G. P. 1 2001 A class of integral-difference operators in a plane: spectral analysis and application to thin films relaxation in an attractive field. Zbl 1371.82145Melnikov, Yuri B. 1 2017 Two-body resonance scattering and annihilation of composite charged particles. Zbl 0763.35072Kuperin, Yu. A.; Mel’nikov, Yu. B. 1 1992 A resonating-group model with extended channel spaces. Zbl 0850.70163Kuperin, Yu. A.; Makarov, K. A.; Melnikov, Yu. B. 1 1989 On a new class of special functions generated by integral-difference operators. Zbl 1472.33010Melnikov, Yuri B.; Turuntaeva, Irina V. 3 2018 A class of integral-difference operators in a plane: spectral analysis and application to thin films relaxation in an attractive field. Zbl 1371.82145Melnikov, Yuri B. 1 2017 New spectral estimations for a class of integral-difference operators and generalisation to higher dimensions. Zbl 1351.45012Melnikov, Yuri B. 5 2016 Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems. Zbl 1084.47040Melnikov, Yuri B. 6 2004 A simple non-linear model of immune response. Zbl 1032.92008Gutnikov, Sergei; Melnikov, Yuri 4 2003 Scattering on graphs and one-dimensional approximations to \(N\)-dimensional Schrödinger operators. Zbl 1053.82011Melnikov, Yu.; Pavlov, B. 6 2001 On the concentration of the spectrum of integral-difference collision operator with Gaussian equilibrium distribution function in a vicinity of zero. Zbl 1061.82507Melnikov, Yu. 6 2001 The connection between the rigged Hilbert space and the complex scaling approaches for resonances. The Friedrichs model. Zbl 1006.81022Antoniou, I.; Melnikov, Yu.; Yarevsky, E. 4 2001 Non-factorizable extensions of the Liouville operator: the Friedrichs model. Zbl 1006.81020Antoniou, I.; Melnikov, Yu. 3 2001 Examples of Gamow vectors. Zbl 1024.81048Antoniou, I. E.; Gadella, M.; Melnikov, Yu.; Pronko, G. P. 2 2001 Gamov vectors for barrier wells. Zbl 1024.81049Antoniou, I. E.; Gadella, M.; Hernández, E.; Jáuregui, A.; Melnikov, Yu.; Mondragón, A.; Pronko, G. P. 1 2001 Extended spectral decompositions of the Rényi map. Zbl 1160.37305Antoniou, I.; Melnikov, Yu.; Shkarin, S.; Suchanecki, Z. 2 2000 Integral-difference collision operators: analytical and numerical spectral analysis. Zbl 0964.82031Melnikov, Yu.; Yarevsky, E. 8 1999 On spectral analysis of a class of integral-difference collision operators. Zbl 0949.47039Melnikov, Yuri 6 1999 Representation of the derivatives and products of the delta function in Hilbert space. Zbl 0954.46028Melnikov, Yuri 4 1999 On spectral analysis of an integral-difference operator. Zbl 0887.45001Melnikov, Yu. 8 1997 Resonances and the extension of dynamics to rigged Hilbert spaces. Zbl 0897.47012Antoniou, I.; Dmitrieva, L.; Kuperin, Yu.; Melnikov, Yu. 6 1997 Application of extension theory to antiproton-nucleon systems with continuous set of resonances in annihilation channel. Zbl 0897.47056Kuperin, Yu. A.; Levin, S. B.; Melnikov, Yu. B.; Yarevsky, E. A. 1 1997 Two-body scattering on a graph and application to simple nanoelectronic devices. Zbl 0843.35070Melnikov, Yu. B.; Pavlov, B. S. 14 1995 Quantum mechanics inversion for symmetry scattering. Zbl 0789.47041Wehrhahn, R. F.; Melnikov, Yu. B. 1 1993 Two-body resonance scattering and annihilation of composite charged particles. Zbl 0763.35072Kuperin, Yu. A.; Mel’nikov, Yu. B. 1 1992 Connections and effective S-matrix in triangle representation for quantum scattering. Zbl 0733.58042Kuperin, Yu. A.; Kurasov, P. B.; Melnikov, Yu. B.; Merkuriev, S. P. 2 1991 Quasicopied \(p\)-groups with an Abelian maximal subgroup. Zbl 0808.20024Mel’nikov, Yu. B. 1 1990 Quantum scattering problem in triangle representation and induced gauge fields. Zbl 0739.58008Kuperin, Yu. A.; Melnikov, Yu. B.; Pavlov, B. S. 2 1989 A resonating-group model with extended channel spaces. Zbl 0850.70163Kuperin, Yu. A.; Makarov, K. A.; Melnikov, Yu. B. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 48 Authors 14 Melnikov, Yuri B. 10 Gadella, Manuel 9 Antoniou, Ioannis E. 6 Pron’ko, G. P. 4 Kuperin, Yuri A. 4 Turuntaeva, Irina V. 3 Kerner, Joachim 2 Bolte, Jens 2 Bondarenko, Anatoliy Nicolaevich 2 Dedok, V. A. 2 Merkur’ev, Stanislav Petrovich 2 Mostafazadeh, Ali 2 Prigogine, Ilya 2 Suchanecki, Zdzislaw 2 Wehrhahn, Rodolfo Francisco 1 Álvarez, J. J. 1 Avdonin, Sergeĭ Anatol’evich 1 Barut, Asim Orhan 1 Brown, B. Malcolm 1 Brüning, Jochen 1 Brunton, Steven L. 1 Budišić, Marko 1 Castagnino, Mario Alberto 1 Cherednichenko, Kirill D. 1 Civitarese, Osvaldo 1 Dell’Antonio, Gian Fausto 1 Edward, Julian 1 Ershova, Yulia Yu. 1 Garforth, George 1 Geyler, Vladimir A. 1 Huang, Min 1 Jáuregui, A. 1 Kaiser, Eurika 1 Karp, Dmitriĭ Borisovich 1 Kiselev, Alexander V. 1 Kurasov, Pavel B. 1 Kutz, J. Nathan 1 Levin, C. B. 1 Mühlenbruch, Tobias 1 Nieto, Luis Miguel 1 Pankrashkin, Konstantin 1 Pivovarchik, Vyacheslav N. 1 Şeremet, Victor 1 Shkarin, Stanislav A. 1 Starostin, A. I. 1 Tazehkand, I. Dehghani 1 Tenuta, Lucattilio 1 Weikard, Rudi all top 5 Cited in 27 Serials 8 Journal of Mathematical Physics 6 Chaos, Solitons and Fractals 3 Foundations of Physics 2 Reviews in Mathematical Physics 2 Doklady Mathematics 1 Acta Mechanica 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Fortschritte der Physik 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Annals of Physics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Czechoslovak Journal of Physics 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 ISRN Applied Mathematics all top 5 Cited in 20 Fields 30 Quantum theory (81-XX) 19 Operator theory (47-XX) 10 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 3 Functional analysis (46-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year