Laptev Genadii Ivanovich

Publications in Math-Net.Ru

1. Monotonicity Conditions for a Class of Quasilinear Differential Operators Depending on Parameters
   
   Mat. Zametki, 96:3 (2014),  405–417
2. Existence of solutions of certain quasilinear elliptic equations in $\mathbb R^N$ without conditions at infinity
   
   Fundam. Prikl. Mat., 12:4 (2006),  133–147
3. 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
4. Increasing Monotone Operators in Banach Space
   
   Mat. Zametki, 71:2 (2002),  214–226
5. Evolution equations with monotone operator and functional non-linearity at the time derivative
   
   Mat. Sb., 191:9 (2000),  43–64
6. Weak solutions of second-order quasilinear parabolic equations with double non-linearity
   
   Mat. Sb., 188:9 (1997),  83–112
7. Solvability of second-order quasilinear parabolic equations with double degeneration
   
   Sibirsk. Mat. Zh., 38:6 (1997),  1335–1355
8. The first boundary value problem for second-order quasilinear elliptic equations with double degeneration
   
   Differ. Uravn., 30:6 (1994),  1057–1068
9. On a regularization of second-order weakly nonlinear elliptic equations with implicit degeneration
   
   Mat. Zametki, 55:3 (1994),  84–95
10. 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
11. Solvability of some classes of quasilinear parabolic Volterra equations
    
    Dokl. Akad. Nauk SSSR, 311:5 (1990),  1045–1049
12. 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
13. A third-order quasilinear partial differential equation
    
    Differ. Uravn., 24:7 (1988),  1270–1272
14. Solvability of initial-boundary value problems for third-order quasilinear partial differential equations with one space variable
    
    Differ. Uravn., 24:6 (1988),  1011–1021
15. 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
16. Quasilinear parabolic equations containing a Volterra operator in the coefficients
    
    Mat. Sb. (N.S.), 136(178):4(8) (1988),  530–545
17. 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
18. Second-order quasilinear parabolic equations with integral coefficients
    
    Dokl. Akad. Nauk SSSR, 293:2 (1987),  306–309
19. Conditions for the uniform well-posedness of the Cauchy problem for systems of equations
    
    Dokl. Akad. Nauk SSSR, 220:2 (1975),  281–284
20. Exponential solutions of the Cauchy problem with a constant operator
    
    Differ. Uravn., 7:2 (1971),  232–243
21. The Hadamard correctness of the Cauchy problem for an evolution equation
    
    Dokl. Akad. Nauk SSSR, 192:5 (1970),  980–983
22. Operational calculus of linear unbounded operators and semigroups
    
    Funktsional. Anal. i Prilozhen., 4:4 (1970),  31–40
23. On the theory of the operational calculus of linear unbounded operators
    
    Dokl. Akad. Nauk SSSR, 185:4 (1969),  760–763
24. An abstract scheme for the examination of parabolic problems in noncylindrical regions
    
    Differ. Uravn., 5:8 (1969),  1458–1469
25. 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
26. Oscillations of a viscous liquid and the associated operational equations
    
    Funktsional. Anal. i Prilozhen., 2:2 (1968),  21–31
27. Motion of a viscous liquid in an open vessel
    
    Funktsional. Anal. i Prilozhen., 2:1 (1968),  40–50
28. Eigenvalue problems for differential equations of the second order in Banach and Hilbert spaces
    
    Differ. Uravn., 2:9 (1966),  1151–1160
29. 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
30. Boundary value problems for second order differential equations in a Banach space. I
    
    Differ. Uravn., 2:3 (1966),  382–390
31. On a class of non-selfadjoint boundary-value problems
    
    Dokl. Akad. Nauk SSSR, 155:3 (1964),  499–502
32. Boundary-value problems for an equation in Hilbert space
    
    Dokl. Akad. Nauk SSSR, 146:3 (1962),  535–538