Nonclassical equations of mathematical physics. The fourth Siberian congress on applied and industrial mathematics (INPRIM-2000), dedicated to the memory of M. A. Lavrent'ev (1900-1980), Novosibirsk, Russia, June 26--July 1, 2000. (Q2701778)

The articles of this volume will be reviewed individually. The abstracts of this congress have been announced (see Zbl 0946.00007). The preceding congress (3, 1998) has been reviewed (see Zbl 0910.00043, Zbl 0893.00012).NEWLINENEWLINEIndexed articles:NEWLINENEWLINE\textit{Repin, O. A.}, A~nonlocal boundary value problem for a Bitsadze-Lykov equation that degenerates in the interior of a domain, 5-13 [Zbl 0963.35135]NEWLINENEWLINE\textit{Sviridyuk, G. A.; Brychev, S. V.}, Existence of nonnegative solutions to Leont\('\)ev's system, 14-17 [Zbl 0973.34003]NEWLINENEWLINE\textit{Glazatov, S. N.}, On solvability of nonclassical boundary value problems for differential equations of variable type, 18-24 [Zbl 0963.35073]NEWLINENEWLINE\textit{Aleksandrovskií, I. L.}, A necessary condition for solvability of a class of boundary value problems for the linearized Navier-Stokes system, 32-40 [Zbl 0964.35114]NEWLINENEWLINE\textit{Fedorov, V. E.}, Strongly continuous semigroups for Sobolev type equations in locally convex spaces, 32-40 [Zbl 0970.47028]NEWLINENEWLINE\textit{Lyakhov, L. N.}, Fractional \(W\)-differentiation and its application to some singular boundary value problems, 41-48 [Zbl 0967.42003]NEWLINENEWLINE\textit{Abasheeva, N. L.}, On solvability of boundary value problems for quasilinear mixed type operator-differential equations, 49-55 [Zbl 0973.34053]NEWLINENEWLINE\textit{Chueshev, A. V.}, A boundary value problem for a linear higher order equation of mixed type, 56-60 [Zbl 0963.35140]NEWLINENEWLINE\textit{Denisov, V. N.}, On asymptotics of a solution to the Dirichlet problem for an elliptic equation in the half-space, 61-71 [Zbl 0963.35023]NEWLINENEWLINE\textit{Doronin, G. G.; Lar'kin, N. A.}, Nonlinear boundary value problem for the damped wave equation, 72-79 [Zbl 0963.35126]NEWLINENEWLINE\textit{Gorevchuk, O. V.}, A nonlinear boundary value problem for some third-order equation, 80-86 [Zbl 0963.35142]NEWLINENEWLINE\textit{Mel'nikova, I. V.}, An abstract stochastic Cauchy problem, 87-96 [Zbl 0970.47025]NEWLINENEWLINE\textit{Pyatkov, S. G.}, On some properties of solutions to parabolic equations with variable time direction, 97-106 [Zbl 0963.35101]NEWLINENEWLINE\textit{Kozhanov, A. I.}, On a multidimensional strongly nonlinear equation of third order in non-cylindrical domains, 107-115 [Zbl 0963.35143]NEWLINENEWLINE\textit{Aldashev, S. A.}, Darboux-Protter problems for some class of multidimensional singular hyperbolic equations, 116-118 [Zbl 0963.35145]NEWLINENEWLINE\textit{Bimenov, M. A.}, On one completeness condition for the root vectors of the Lavrent\('\)ev-Bitsadze equation, 119-122 [Zbl 0963.35141]NEWLINENEWLINE\textit{Khankasaev, V. N.; Buyantuev, S. L.}, An analytic solution of the axisymmetric hyperbolic heat equation, 123-127 [Zbl 0964.35154]NEWLINENEWLINE\textit{Khe, K. Ch.}, On eigenfunctions of homogeneous boundary value problems for an elliptic equation with Bessel operators, 128-135 [Zbl 0964.35065]NEWLINENEWLINE\textit{Mirzieva, G. F.; Mukhlisov, F. G.}, On fundamental solutions of some singular elliptic equations of forth order, 136-139 [Zbl 0964.35030]NEWLINENEWLINE\textit{Digurova, A. M.; Shkhanukov-Lafishev, M. Kh.}, Boundary value problems for differential equations on fractals and some difference methods for their solution, 140-147 [Zbl 0963.35096]