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Yakovlev Mikhail Nikolaevich

Publications in Math-Net.Ru

  1. A bound for the error of the Ritz method in the case of the Lidstone problem for a singular differential equation of fourth order

    Zap. Nauchn. Sem. POMI, 367 (2009),  195–201
  2. An error bound of the Ritz method for a singular second-order differential equation

    Zap. Nauchn. Sem. POMI, 359 (2008),  208–215
  3. A finite element method for solving singular boundary-value problems

    Zap. Nauchn. Sem. POMI, 346 (2007),  149–159
  4. Mixed boundary-value problems for singular second-order ordinary differential equations

    Zap. Nauchn. Sem. POMI, 334 (2006),  246–266
  5. The first boundary-value problem for a singular nonlinear ordinary differential equation of fourth order

    Zap. Nauchn. Sem. POMI, 334 (2006),  233–245
  6. Existence of nonnegative solutions of singular boundary-value problems for second-order ordinary differential equations

    Zap. Nauchn. Sem. POMI, 323 (2005),  215–222
  7. Solvability of singular boundary-value problems for ordinary differential equations of order $2m$

    Zap. Nauchn. Sem. POMI, 309 (2004),  174–188
  8. Existence of $2^n$ solutions of a system of $n$ nonlinear equations in $n$ unknowns

    Zap. Nauchn. Sem. POMI, 284 (2002),  263–268
  9. Existence of $2^n$ periodic solutions of a system of $n$ differential equations of first order

    Zap. Nauchn. Sem. POMI, 284 (2002),  247–262
  10. A convergence theorem for the Newton method

    Zap. Nauchn. Sem. POMI, 248 (1998),  242–246
  11. Solvability of a periodic boundary-value problem for a system of first-order ordinary differential equations with $(\beta,\gamma,\delta)$-comparison pairs

    Zap. Nauchn. Sem. POMI, 248 (1998),  231–241
  12. Solvability of nonlinear equations in a cone of a Banach space

    Zap. Nauchn. Sem. POMI, 248 (1998),  225–230
  13. Implicit functions determined by equations with unbounded operators and the solvability of operator equations

    Zap. Nauchn. Sem. POMI, 248 (1998),  216–224
  14. Periodic solutions of second-order systems with one-sided restrictions to the growth of the right-hand side with respect to the first derivative

    Zap. Nauchn. Sem. POMI, 202 (1992),  190–203
  15. Solvability of nonlinear systems including $(\gamma,\delta)$-comparison pairs

    Zap. Nauchn. Sem. POMI, 202 (1992),  185–189
  16. Nonlinear boundary value problems for second order systems with one-sided growth constraints of the right side with respect to the first derivatives

    Zap. Nauchn. Sem. LOMI, 159 (1987),  156–175
  17. Solvability of a nonlinear Sturm–Liouville boundary-value problem for a second-order integrodifferential equation with one-sided restrictions on the growth of the right side with respect to the first derivative

    Zap. Nauchn. Sem. LOMI, 139 (1984),  168–179
  18. Estimates of the solutions systems of integro-differential equations subject to many-points and integral boundary conditions

    Zap. Nauchn. Sem. LOMI, 124 (1983),  131–139
  19. Two-layered difference schemes for solving multipoint problems

    Zap. Nauchn. Sem. LOMI, 111 (1981),  218–234
  20. Estimates of the solutions systems of linear algebraic equations and its applications to investigation of convergence method of finite-differences

    Zap. Nauchn. Sem. LOMI, 102 (1980),  174–180
  21. Estimates of the solutions two-point problem for systems of intergo-differential equations first order and method of lines

    Zap. Nauchn. Sem. LOMI, 102 (1980),  156–173
  22. Estimates of the solutions systems of ordinary differential equations and method of lines

    Zap. Nauchn. Sem. LOMI, 90 (1979),  277–296
  23. A convergence of the method of lines for first periodic-boundary value problem for nonlinear parabolic equation of second order

    Zap. Nauchn. Sem. LOMI, 90 (1979),  268–276
  24. Uniform convergence of the implicit difference scheme of a nonlinear boundary-value problem for a second-order nonlinear parabolic equation

    Zap. Nauchn. Sem. LOMI, 80 (1978),  249–262
  25. Solvability of the finite-difference equations of the implicit scheme for a nonlinear second-order parabolic equation

    Zap. Nauchn. Sem. LOMI, 70 (1977),  256–266
  26. Uniform convergence of the implicit scheme of the finite-difference method for solving the first boundary-value problem for a nonlinear second-order parabolic equation

    Zap. Nauchn. Sem. LOMI, 70 (1977),  241–255
  27. Uniform convergence of the method of lines in the case of the first boundary-value problem for a nonlinear second-order parabolic equation

    Zap. Nauchn. Sem. LOMI, 70 (1977),  232–240
  28. Finite-difference method for solving the first boundary-value problem for a second-order nonlinear ordinary differential equation with a divergent principal part

    Zap. Nauchn. Sem. LOMI, 58 (1976),  14–21
  29. An uniform $O(h^4)$ convergence of one scheme of the method of lines for quasilinear parabolic and hyperbolic equations

    Zap. Nauchn. Sem. LOMI, 48 (1974),  205–211
  30. Implicit difference scheme for solving the first boundary value problem for the second order nonlinear parabolic equation

    Zap. Nauchn. Sem. LOMI, 35 (1973),  160–166
  31. The difference method for the first boundary value problem of the second order ordinary differential equation

    Zap. Nauchn. Sem. LOMI, 35 (1973),  156–159
  32. Estimates for the approximate solution of the Cauchy problem, and the method of lines

    Differ. Uravn., 7:11 (1971),  2078–2085
  33. The method of lies in nonlinear boundary value problems for nonlinear parabolic equations

    Zap. Nauchn. Sem. LOMI, 23 (1971),  143–150
  34. On estimate of approximate solution of Cauchy problem

    Zap. Nauchn. Sem. LOMI, 23 (1971),  140–142
  35. On estimate of the error of the solution of Cauchy problem for system of ordinary differential equations of second order

    Zap. Nauchn. Sem. LOMI, 23 (1971),  138–139
  36. Nonnegative solutions of systems of nonlinear (in particular, difference) equations

    Trudy Mat. Inst. Steklov., 96 (1968),  111–116
  37. Nonnegative solutions of boundary-value problems for quasilinear second-order equations

    Trudy Mat. Inst. Steklov., 96 (1968),  105–110
  38. On the finite differences method of solution of non-linear boundary value problems

    Dokl. Akad. Nauk SSSR, 172:4 (1967),  798–800
  39. Algorithms of minimization of strictly convex functionals

    Zh. Vychisl. Mat. Mat. Fiz., 7:2 (1967),  429–431
  40. Estimates of the $H$-condition numbers of matrices in the Petrov–Galerkin method

    Dokl. Akad. Nauk SSSR, 163:2 (1965),  309–310
  41. Concerning some methods of solving nonlinear equations

    Trudy Mat. Inst. Steklov., 84 (1965),  8–40
  42. On the solution of non-linear equations by iterations

    Dokl. Akad. Nauk SSSR, 156:3 (1964),  522–524
  43. On the solution of non-linear equations by an iteration method

    Sibirsk. Mat. Zh., 5:6 (1964),  1428–1430
  44. The solutions of systems of non-linear equations by a method of differentiation with respect to a parameter

    Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964),  146–149
  45. Some conditions for stability of the Petrov–Galerkin method

    Trudy Mat. Inst. Steklov., 66 (1962),  182–189

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