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Laptev, Genadii Ivanovich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 32

Number of views:
This page:1748
Abstract pages:7363
Full texts:3285
References:549
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8544
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/239934
https://elibrary.ru/author_items.asp?authorid=14079

Publications in Math-Net.Ru Citations
2014
1. G. I. Laptev, “Monotonicity Conditions for a Class of Quasilinear Differential Operators Depending on Parameters”, Mat. Zametki, 96:3 (2014),  405–417  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 379–390  isi  elib  scopus 3
2006
2. G. I. Laptev, “Existence of solutions of certain quasilinear elliptic equations in $\mathbb R^N$ without conditions at infinity”, Fundam. Prikl. Mat., 12:4 (2006),  133–147  mathnet  mathscinet  zmath; J. Math. Sci., 150:5 (2008), 2384–2394  scopus 6
2002
3. G. I. Laptev, “Conditions for Nonexistence of Global Solutions of the Cauchy Problem for a Parabolic Equation with an Integral Nonlinear Perturbation”, Differ. Uravn., 38:4 (2002),  547–554  mathnet  mathscinet; Differ. Equ., 38:4 (2002), 577–585 1
4. G. I. Laptev, “Increasing Monotone Operators in Banach Space”, Mat. Zametki, 71:2 (2002),  214–226  mathnet  mathscinet  zmath; Math. Notes, 71:2 (2002), 194–205  isi  scopus
2000
5. G. I. Laptev, “Evolution equations with monotone operator and functional non-linearity at the time derivative”, Mat. Sb., 191:9 (2000),  43–64  mathnet  mathscinet  zmath; Sb. Math., 191:9 (2000), 1301–1322  isi  scopus 9
1997
6. G. I. Laptev, “Weak solutions of second-order quasilinear parabolic equations with double non-linearity”, Mat. Sb., 188:9 (1997),  83–112  mathnet  mathscinet  zmath; Sb. Math., 188:9 (1997), 1343–1370  isi  scopus 28
7. G. I. Laptev, “Solvability of second-order quasilinear parabolic equations with double degeneration”, Sibirsk. Mat. Zh., 38:6 (1997),  1335–1355  mathnet  mathscinet  zmath; Siberian Math. J., 38:6 (1997), 1160–1177  isi 7
1994
8. G. I. Laptev, “The first boundary value problem for second-order quasilinear elliptic equations with double degeneration”, Differ. Uravn., 30:6 (1994),  1057–1068  mathnet  mathscinet; Differ. Equ., 30:6 (1994), 981–991 1
9. G. I. Laptev, “On a regularization of second-order weakly nonlinear elliptic equations with implicit degeneration”, Mat. Zametki, 55:3 (1994),  84–95  mathnet  mathscinet  zmath; Math. Notes, 55:3 (1994), 294–301  isi
1993
10. G. I. Laptev, “Conditions for the solvability of the first boundary value problem for the parabolic equation $F(t,x,u,u_x,\Delta u,u_t)=0$”, Differ. Uravn., 29:3 (1993),  424–434  mathnet  mathscinet; Differ. Equ., 29:3 (1993), 364–372
1990
11. G. I. Laptev, “Solvability of some classes of quasilinear parabolic Volterra equations”, Dokl. Akad. Nauk SSSR, 311:5 (1990),  1045–1049  mathnet  mathscinet  zmath; Dokl. Math., 41:2 (1990), 335–339
1989
12. G. I. Laptev, “Mathematical features of the problem on the penetration of a magnetic field into a substance for quasistationary approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 7,  70–73  mathnet  mathscinet; Soviet Math. (Iz. VUZ), 33:7 (1989), 93–97
1988
13. G. I. Laptev, “A third-order quasilinear partial differential equation”, Differ. Uravn., 24:7 (1988),  1270–1272  mathnet  mathscinet  zmath 1
14. G. I. Laptev, “Solvability of initial-boundary value problems for third-order quasilinear partial differential equations with one space variable”, Differ. Uravn., 24:6 (1988),  1011–1021  mathnet  mathscinet; Differ. Equ., 24:6 (1988), 669–677
15. G. I. Laptev, “The first boundary value problem for a second-order nonlinear parabolic equation with one space variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 5,  84–86  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:5 (1988), 109–112
16. G. I. Laptev, “Quasilinear parabolic equations containing a Volterra operator in the coefficients”, Mat. Sb. (N.S.), 136(178):4(8) (1988),  530–545  mathnet  mathscinet  zmath; Math. USSR-Sb., 64:2 (1989), 527–542 13
17. G. I. Laptev, “Mathematical singularities of a problem on the penetration of a magnetic field into a substance”, Zh. Vychisl. Mat. Mat. Fiz., 28:9 (1988),  1332–1345  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 35–45 4
1987
18. G. I. Laptev, “Second-order quasilinear parabolic equations with integral coefficients”, Dokl. Akad. Nauk SSSR, 293:2 (1987),  306–309  mathnet  mathscinet  zmath 4
1975
19. G. I. Laptev, “Conditions for the uniform well-posedness of the Cauchy problem for systems of equations”, Dokl. Akad. Nauk SSSR, 220:2 (1975),  281–284  mathnet  mathscinet  zmath 1
1971
20. G. I. Laptev, “Exponential solutions of the Cauchy problem with a constant operator”, Differ. Uravn., 7:2 (1971),  232–243  mathnet  mathscinet  zmath
1970
21. S. G. Krein, G. I. Laptev, G. A. Tsvetkova, “The Hadamard correctness of the Cauchy problem for an evolution equation”, Dokl. Akad. Nauk SSSR, 192:5 (1970),  980–983  mathnet  mathscinet  zmath 1
22. G. I. Laptev, “Operational calculus of linear unbounded operators and semigroups”, Funktsional. Anal. i Prilozhen., 4:4 (1970),  31–40  mathnet  mathscinet  zmath; Funct. Anal. Appl., 4:4 (1970), 290–298 2
1969
23. G. I. Laptev, “On the theory of the operational calculus of linear unbounded operators”, Dokl. Akad. Nauk SSSR, 185:4 (1969),  760–763  mathnet  mathscinet  zmath 1
24. S. G. Krein, G. I. Laptev, “An abstract scheme for the examination of parabolic problems in noncylindrical regions”, Differ. Uravn., 5:8 (1969),  1458–1469  mathnet  mathscinet  zmath 7
1968
25. G. I. Laptev, “Boundary value problems for second order differential equations in Hilbert space with a variable selfadjoint operator”, Dokl. Akad. Nauk SSSR, 179:2 (1968),  283–286  mathnet  mathscinet  zmath
26. N. K. Askerov, S. G. Krein, G. I. Laptev, “Oscillations of a viscous liquid and the associated operational equations”, Funktsional. Anal. i Prilozhen., 2:2 (1968),  21–31  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:2 (1968), 115–124 15
27. S. G. Krein, G. I. Laptev, “Motion of a viscous liquid in an open vessel”, Funktsional. Anal. i Prilozhen., 2:1 (1968),  40–50  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:1 (1968), 38–47 20
1966
28. G. I. Laptev, “Eigenvalue problems for differential equations of the second order in Banach and Hilbert spaces”, Differ. Uravn., 2:9 (1966),  1151–1160  mathnet  mathscinet  zmath
29. S. G. Krein, G. I. Laptev, “Correctness of boundary value problems for a differential equation of the second order in a Banach space. II”, Differ. Uravn., 2:7 (1966),  919–926  mathnet  mathscinet 2
30. S. G. Krein, G. I. Laptev, “Boundary value problems for second order differential equations in a Banach space. I”, Differ. Uravn., 2:3 (1966),  382–390  mathnet  mathscinet  zmath 4
1964
31. N. G. Askerov, S. G. Krein, G. I. Laptev, “On a class of non-selfadjoint boundary-value problems”, Dokl. Akad. Nauk SSSR, 155:3 (1964),  499–502  mathnet  mathscinet  zmath 11
1962
32. S. G. Krein, G. I. Laptev, “Boundary-value problems for an equation in Hilbert space”, Dokl. Akad. Nauk SSSR, 146:3 (1962),  535–538  mathnet  mathscinet  zmath 1

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