Books:

[26] Inverse Problem of the Scattering Theory.
Kharkov University, 1960, 268p. (co-author Z.S.Agranovich)
Translated into English: Gordon and Breach, 1963, 290p.

[48] Spectral Theory of the Sturm-Liouville Operators.
Kiev, Naukova Dumka, 1972, 219p.

[51] Boundary Value Problem in Domains with Fine-Grained Boundary.
Kiev, Naukova Dumka, 1974, 279p. (co-author E.Ya.Khruslov)

[61]Storm-Liouville Operators and its Applications.
Kiev, Naukova Dumka, 1977, 331p.
Translated into English: Birkhauser Verlag, 1986, 367p.

[68]Nonlinear Equations and Operators Algebras.
Kiev, Naukova Dumka, 1986, 152p.
Translated into English: D.Reidel, Dordrecht, 1987, 157p.

List of Publications:

1. On functions which are at the equal distance from some sets in the space of bounded functions. Doklady Akademii Nauk SSSR, 51 I(1946), pp.663-666.
2. Application of the Fejer-Bochner summation method to the generalized Fourier series. Doklady Akademii Nauk SSSR 53 (1946), pp.7-10.
3. The method of summing of Fejer-Bochner. Uspekhi Mat. Nauk, 2:2(18) (1947), pp.190-191.
4. Some problems of approximation of functions on entire real axis (II). Zapiski NI Math. Mech. Kharkov State Univ. 21 (1949), pp.5-9 (co-author N.I. Akhiezer)
5. Methods of summation of the generalized Fourier series. Zapiski NI Math. Mech. Kharkov State Univ. 20 (1950), pp.3-32.
6. On functions which are normal with respect to symmetric shift operation. Zapiski NI Math. Mech. Kharkov State Univ. 20 (1950), pp.33-42.
7. Some problems of approximation of functions on entire real axis (III). Zapiski Mat. Otd. Kharkov State Univ. 22 (1950), pp.115-125.
8. Some problems of the theory of differential operators of the second order. Dokl. Akad. Nauk SSSR 72 (1950), pp.457-460.
9. Transformation operators. Dokl. Akad. Nauk SSSR 74 (1950), pp.185-188.
10. On expansion of a differential operator in eigenfunctions. Dokl. Akad. Nauk SSSR 74 (1950), pp.657-660.
11. Generalized almost periodic functions. Dokl. Akad. Nauk SSSR 74 (1950), pp.893-895.
12. Finite perturbation of differential operators. Zapiski Mat. Otd. Kharkov State Univ.(4), 23 (1952), pp.73-77.
13. Some problems of the theory of one-dimensional linear differential operators of the second order (I). Trudy Moscow. Mat. Ob. 1 (1952) , pp.327-420.
14. Some problems of the theory of one-dimensional linear differential operators of the second order (II). Trudy Moscow. Mat. Ob. 2 (1953) , pp.3-83.
15. Theorems of the Tauber type in the spectral analysis of differential operators. Izvestya Akad. Nauk SSSR (Math) 19 (1955), pp.381-422.
16. Recovery of the potential energy from the scattering wave phases. Dokl. Akad. Nauk SSSR 104 (1955), pp.695-698.
17. On some problems in analysis and algebra in Kharkov State University. Kharkov. Zapiski Math. Ob. (4) (1956), pp.59-64. (coauthor G.I.Drinfeld, A.Y.Povzner)
18. On majorants of zero genus. Uspekhi Mat. Nauk, 11:2 (68) (1956), pp.173-178 (coauthor I.O.Inozemtsev)
19. Spectral theory of operators. Trudy III Vses. Mat. Syezd 23 (1956), pp.16-17. (coauthor B.M.Levitan)
20. Recovery of the potential from the scattering matrix for a system of differential equations. Dokl. Akad. Nauk SSSR 113 (1957), pp.951-954 (co-uathor Z.S.Agranovich)
21. Recovery of potential energy from the scattering matrix. Uspekhi Mat. Nauk 12:1(73) (1957), pp.143-145 (co-author Z.S.Agranovich)
22. Recovery of tensor forces from the scattering data. Dokl. Akad. Nauk SSSR 118:6 (1958), pp.1055-1058 (co-author Z.S.Agranovich)
23. Eigenfunctions resolution of non-selfadjoint singular differential operators. Dokl. Akad. Nauk SSSR 120:5 (1958), pp.963-966 (co-author F.S.Rofe-Beketov)
24. Spectral theory of operators. Trudy III Vses. Mat. Syezd v.3 (1958) , pp.101-116. (co-authors B.M.Levitan and M.A.Naymark)
25. Recovery of the potential from the scattering matrix for systems of differential equations. Zapiski Mat. Otd. Kharkov State Univ., Ser.4, 26 (1960), pp.3-103. (co-author Z.S.Agranovich)
26. Inverse Problem of the Scattering Theory (Kharkov State University 1960), 268 p. (co-author Z.S.Agranovich)
27. Eigenfunctions resolution of non-selfadjoint singular operators. Mat. Sbornik 52:2 (1960), pp.739-788.
28. The generalized spectral function. Abstract of Short Communications Inter. Congr. Math., Stockholm (1962), pp.3-11.
29. The diffraction of the electromagnetic waves on flat metal gratings. Jurnal Tekhn. Phys. 32:4 (1962), pp.371-394. (co-authors Z.S.Agranovich and V.P.Shestopalov)
30. Boundary problems with fine-grained boundary. Mat. Sbornik 65:3 (1964), pp.458-472. (co-author E.Ya.Khruslov)
31. Some problems of diffraction theory. Naukova Dumka, Kiev (1964), pp.189-247.
32. Energizing of an annular wave conductor. Resp. Nauch-Tekh. Sbornik. Radiotekhnika. 1, Kharkov (1965), pp.3-13 (co-author V.G.Sologub)
33. Boris Moiseevich Levitan (To the 50-th anniversary). Uspehi Mat.nauk, 20:3 (1965), pp.227-230. (co-author N.I.Akhiezer)
34. The second boundary problem in domain with complicated boundary. Mat. Sbornik 69:1 (1966), pp.35-60. (co-author G.V.Suzikov)
35. Shortwave approximation in the problem of diffraction on plane screen. Teoria Func., Func. Analys. 3 (1966) , pp.158-182. (co-author K.V.Maslov)
36. Boundary problems in the domains with fine-grained boundary. Thesis Kr. Nauch. Soob., Moscow, Sec.7 (1966), pp.43-44.
37. About the spectrum of random matrices. Thesis Kr. Nauch. Soob., Moscow, Sec.5 (1966), pp.63-64. (co-author L.A.Pastur)
38. The spectrum of random matrices. Teoria Func., Func. Analys. 4 (1967) , pp.122-145. (co-author L.A.Pastur)
39. The distribution of eigenvalues in some assembles of random matrices. Mat. Sbornik 72:4 (1967), pp.507-536. (co-author L.A.Pastur)
40. On an extremal case of the second boundary problem. Teoria Func., Func. Analys. 5 (1967) , pp.115-139. (co-authors G.N.Gestrin and D.Sh.Lundina)
41. The stability of the inverse problem of the scattering theory. Mat. Sbornik 77:2 (1968), pp.139-162.
42. Refinement of the inequalities characterizing the stability of inverse scattering problem. Mat. Sbornik 73:4 (1969), pp.475-484. (co-author D.Sh.Lundina)
43. Aleksey Vasil'evich Pogorelov(To the 50-th anniversary). UMZh, 21:3 (1969), pp.354-360 (co-authors N.I.Akhiezer,Ya.P.Blank, Yu.A.Mitropol'skiy)
44. Stability of the problem of recovery of the Sturm-Liouville operator from the spectral function. Mat. Sbornik 81:4 (1970), pp.525-551.(co-author K.V.Maslov)
45. Stability of the inverse problems of the spectral analysis. Visn. Akad Nauk UkrSSR 9 (1970), pp.9-15.
46. Randwertaufgaben in Gebieten mit feinkoernigem Rand Elliptische Differentialglichungen. Band II.- Berlin (1971), p.177-181.
47. Naum Il'ich Akhiezer(To the 70-th anniversary). Uspehi Mat.Nauk,26:6(1971), pp.257-261. (co-authors Yu.M.Berezansky, A.N.Kolmogorov, M.G.Kreyn,B.Ya.Levin, B.M.Levitan)
48. Spectral theory of the Sturm-Liouville operators. Naukova Dumka, Kiev (1972). 220p.
49. Valuable contribution to mathematic science progress. Visn. Akad Nauk UkrSSR 4 (1974), pp.99-100 (co-author K.V.Maslov)
50. The periodic Korteveg-de-Vries problem. Dokl. Akad. Nauk SSSR 217:2 (1974), pp.276-279.
51. Boundary Problems in the Domains with Fine-Grained Boundary. Naukova Dumka, Kiev (1974), 276p. (co-author E. Ya. Khruslov)
52. The periodic Korteveg-de-Vries problem. Mat. Sbornik 95:3, (1974), pp.331-356.
53. The characterisic of the spectrum of the Hill operator. Dokl. Akad. Nauk SSSR 222:6 (1975), pp.1283-1286. (co-author I.V.Ostrovskiy)
54. The intergal representation of positive operator functionals. Teoria Func., Func. Analys. 22 (1975) , pp.67-76. (co-author V.A.Kozel and D.Sh.Lundina)
55. Aleksandr Yakovlevich Povzner(To the 60-th anniversary). Uspekhi Mat. Nauk, 30:5 (1975), pp.221-225. (co-authors Yu.M.Berezansky, I.M.Gelfand, B.Ya.Levin, K.V.Maslov)
56. The characterisic of the spectrum of the Hill operator. Mat. Sbornik 97:4, (1975), pp.540-606. (co-author I.V.Ostrovskiy)
57. Boundary problems in the domains with fine-grained boundary. Uspekhi Mat. Nauk 30:6, (1975), pp.205-206. (co-author E. Ya. Khruslov)
58. The precision estimation of approximation of solutions of the boundary problems in the domains with fine-grained boundary. 'Problems of Mechanics and Math. Physics' (Nauka, Moscow 1976), pp.208-223.(co-author E. Ya. Khruslov)
59. Spektraltheorie und nichtline are Gleichunden Differential Equations. Proc. Int. Conference on Diff. Operators. (1977), pp.134-143.
60. The generalized spectral matrix of the 3-dimentional non-selfadjoint Shroedinger operator. Teoria Func., Func. Analys. 27 (1977) , pp.71-90. (co-author V.A.Kozel and D.Sh.Lundina)
61. The Sturm-Liouville operators and their applications. Naukova Dumka, Kiev 1977, 331p.
62. Boris Yakovlevich Levin (To the 70-th anniversary). Uspekhi Mat.Nauk, 31:5 (1977), pp.210-213 (co-authors N.I.Akhiezer, N.V.Efimov, M.G.Kreyn, M.A.Lavrent'ev, I.V.Ostrovsky, B.V.Shabat)
63. New results in the theory of boundary problems in the domains with fine-grained boundary. Uspekhi Mat. Nauk 33:3, (1978), pp.127 (co-author E. Ya. Khruslov)
64. The Sturm-Liouville operator and the Korteveg-de-Vries equation. Trudy Vses. Conf. Moscow, 1978, pp.152-153.
65. Aleksey Vasil'evich Pogorelov (To the 60-th anniversary). Uspekhi Mat.Nauk, 34:4 (1979), pp.221-226. (co-authors A.D.Aleksandrov, Ya.P.Blank, N.V.Efimov)
66. The approximation of periodic potentials by finite-gap ones. Vestnik Kharkov State Univ. 205 (1980), pp.4-40. (co-author I.V.Ostrovsky)
67. New approach to the problem of integration of some non-linear equations. Uspekhi Mat. Nauk 36:4 (1981), pp.227-228. (co-author E.I.Tarapova)
68. Nonlinear Equations and Operator Algebras. Naukova Dumka, Kiev 1986, 152p.
69. The Sturm-Liouville Operators and Their Applications. Birkhauser Verlag, 1986, 367p.
70. Nonlinear Equations and Operator Algebras. D.Reidel, Dordrecht 1987, 157p.
71. Asymptotic on spectral parameter Weyl solution of Sturm- Lioville equation. Zapiski Nauch. Seminarov LOMI, 170 (1989), pp. 189-206.
72. The Cauchy problem for the KdV equation with non-decreasing initial data. Integrable and kinetic equations for the solitons. Kiev, Naukova Dumka (1990), pp.168-213.
73. The characteristic properties of Weyl solutions. Doklady Rossiyskoy Ak.Nauk, 1991, v.324, no.2, 261-264.
74. Estimation of the residual term in the asymptotic formula for the spectral function of Sturm-Liouville operator. Teoria Func., Func. Analys. 56, (1991), pp. 14-29.
75. The Cauchy problem for the KdV equation with non-decreasing initial data. Springer Series in Nonlinear Dynamics: "What is integrability" Ed. V.E.Zacharov (Springer Verlag 1991) pp.273-318
76. Limits of multisoliton solutions of nonlinear Schroedinger equation. Doklady Akademii Nauk Ukrainy, 1992, no.8, pp.21-24. (co-author Lundina D.Sh.)
77. Compactness of the n-soliton solutions set of nonlinear Schroedinger equation. Matematichesky sbornik, 1992, v.183, no.4, pp.3-19. (co-author Lundina D.Sh.)
78. Characterization of the Weyl solutions. Preprint BIBOS N 578/93, Universitat Bielefeld.
79. Generalizations of Darboux transformation. Preprint BIBOS, Universitet Bielefeld (1993), (co-author Anne Boutet de Monvel).
80. Limits of the reflectionless Dirac operator. Advances in Soviet Mathematics Operator Spectral Theory and Related Topics", v.19. AMS, p.1-25, 1994. (co-author Lundina D.Sh.)
81. Characterization of the Weyl solutions. Letters in Math Physics 31, pp. 179-193 (1994)
82. Generalizations of Darboux transform. Mathematicheskaya Fizika, Analiz, Geometriya, v.3, No.4, (1994), pp.479-504 (co-author Anne Boutet de Monvel).
83. Operators algebras, nonlinear equations and Darboux-like transform. Math. Phys. Stud. v.19, Algebraic and Geometric methods in math. phys., Kluwer Acad. Publish., 1996, pp.323-342.
84. The Cauchy problem for nonlinear Schroedinger equation with bounded initial data. Mathematicheskaya Fizika, Analiz, Geometriya, v.4, No. 1/2, 1997 (co-author Anne Boutet de Monvel).
85. New Inverse spectral problem and its application. In Inverse and algebraic Quantum scattering theory", B.Apagyi,G.Endredy et P.Levay, editors, Lake balaton, (1996), Lecture Notes in Physics, 588, Springer Verlag, 1997, 1-12. (co-author Anne Boutet de Monvel).
86. Ladyzhenskaya, O.A.; Marchenko, V.A.; Mitropol'skij, Yu.A.; Novikov, S.P.; Pogorelov, A.V. Evgenij Yakovlevich Khruslov (on his 60th birthday). (Russian, English) Russ. Math. Surv. 52, No.6, 1351-1353 (1997); translation from Usp. Mat. Nauk 52, No.6, 205-206 (1997).
87. Asymptotic Formulas for Spectral and Weyl Functions of Sturm-Liouville Operators with Smooth coefficients, in "New Results in Operator Theory and its applications, The Israel M.Glazman Memorial volume, I. Golhberg, Yu Lyubich editors, Operator Theory Advances and Applications, 98, (1997), 102-117 (co-author Anne Boutet de Monvel).
88. Gurarij, V.P.; Khruslov, E.Ya.; Marchenko, V.A.; Maslov, K.V.; Pogorelov, A.V.; Sinai, Ya.G.; Zakharov, V.E. Leonid Andreevich Pastur (on his 60th birthday). (Russian, English) Russ. Math. Surv. 53, No.2, 427-429 (1998); translation from Usp. Mat. Nauk 53, No.2, 181-182 (1998).
89. Inverse scattering method. Mathematical Physics, Encyclopedia (Russian), ed. by L.D.Faddeev, 1998, pp.400-403.
90. Aleksandrov, A.D.; Borisenko, A.A.; Zalgaller, V.A.; Marchenko, V.A.; Maslov, K.V.; Milka, A.D.; Novikov, S.P.; Reshetnyak, Yu.G.; Skrypnik, I.V.; Khruslov, E.Ya. Aleksej Vasil'evich Pogorelov (on his 80th birthday). (Russian, English) Russ. Math. Surv. 54, No.4, 869-872 (1999); translation from Usp. Mat. Nauk 54, No.4, 188-190 (1999).
91. Agranovich, P.Z.; Favorov, S.Yu.; Gol'dberg, A.A.; Gurarij, V.P.; Marchenko, V.A.; Novikov, S.P.; Ostrovskij, I.V.; Pastur, L.A.; Rashkovskij, A.Yu.; Khruslov, E.Ya. Lev Isaakovich Ronkin (obituary). (Russian, English) Russ. Math. Surv. 54, No.3, 619-621 (1999); translation from Usp. Mat. Nauk 54, No.3, 147-148 (1999).
92. Marchenko, V.A.; Maslov K.V.; Novikov, S.P.; Ostrovskij, I.V.; Ostrovskij, M.I.; Pastur, L.A.; Pogorelov A.V.; Fonf V.P.; Khavinson S.Ya.; Khruslov E.Ya. Mikhail Iosifovich Kadets (on the occasion of his 75th birthday). (Russian. English summary) Mat. Fiz. Anal. Geom. 6, No.1-2, 191-194 (1999).
93. Marchenko, V.A.; Mitropol'skij, Yu.A.; Pogorelov, A.V.; Samojlenko, A.M.; Skrypnik, I.V. Naum Il'ich Akhiezer (on his 100-th birthday). (Russian. English summary) Ukr. Mat. Zh. 53, No.3, 291-293 (2001).
94. Preface for the monograph "Spectral Analysis of Differential Operators. Relations of spectral and oscillating properties" by F.S.Rofe-Beketov and A.M.Kholkin. Mariupol 2001, pp.6-7.
95. Naum Illich Akhiezer. (Talk given on International Conference "Theory of Functions and Mathematical Physics"). Universitates, 2001, No.3, pp.42-46.
96. The Inverse Scattering Problem and Its Applications to NLPDE. Chapter 6.2.1 in "Scattering", Scattering and Inverse Scattering in Pure and Applied Science, ed. by R.Pike and P.Sabatier, Academic Press. 2002. pp.1695-1706.
    

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