Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989

**Editor:** Kurzweil, Jaroslav

**Organized by:** Mathematical Institute of the Czechoslovak Academy of Sciences

**Venue:** Prague, 1989

**Publisher:** BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990

**ISBN:** 3322007693

**Series:** Teubner-Texte zur Mathematik, Bd. 118

MR1128324 | Zbl 0704.00019

MSC: 00B25, 34-06, 35-06, 65-06

Plenary lectures

9-17 | On some recent results on the numerical problems in semiconductor device simulation. Brezzi, Franco; Marini, L. D.; Pietra, P. |

18-27 | On analysis of quasihyperbolic equations of linear viscoelasticity. Brilla, J. |

28-36 | On the regularity and non-regularity of elliptic and parabolic systems. John, O.; Stará, J. |

37-46 | On some boundary value problems for systems of nonlinear ordinary differential equations. Kiguradze, I. |

47-58 | Nonlinear surface waves under external forcing. Kirchgässner, K. |

59-70 | Generalized ordinary differential equations - a survey. Schwabik, Š. |

71-73 | Oblique boundary value problems for nonlinear parabolic equations. Uraltseva, N. N. |

Section A: Ordinary differential equations

74-76 | The accuracy of numerically computed orbits of dynamical systems. Chow, S.-N.; Palmer, K. J. |

77-79 | On centers of type A and B of polynomial systems. Conti, R. |

80-83 | On the third order nonlinear ordinary differential equation. Greguš, M. |

84-87 | Nonoscillation theorems for a class of neutral functional differential equations of arbitrary order. Jaroš, J.; Kusano, T. |

88-91 | A new view of center manifolds. Knobloch, H. W. |

92-95 | Stable periodic oscillations in systems with monotonous hysteresis nonlinearity. Krasnoselsky, M. A.; Pokrovsky, A. V.; Semenov, M. E. |

96-99 | Perturbed discrete time dynamical systems. Lasota, A. |

100-102 | Stability and averaging properties of stochastic evolution equations. Maslowski, B. |

103-105 | Stability and asymptotic properties of dynamical systems in the plane. Ráb, M.; Kalas, J. |

106-109 | Multipoint boundary value problems at resonance. Rachůnková, I. |

110-113 | Theory of completely integrable equations. Reizinsh, L. |

114-117 | Relaxation oscillations in systems with different time scales. Schneider, K. R. |

118-122 | On a boundary value problem with general linear conditions. Šeda, V. |

123-126 | Linear perturbations of differential systems with constant matrices. Šimša, J. |

127-130 | Solutions to a differential inclusion of order $n$. Švec, M. |

131-134 | Hamiltonian systems with periodic nonlinearities. Szulkin, A. |

135-138 | Subharmonic bifurcation in equivariant systems. Vanderbauwhede, A. |

139-142 | Differential equations, higher monotonicity and principal pair of solutions. Vosmanský, J. |

Section B: Partial differential equations

143-145 | Functionals depending on curvatures and surfaces with curvature measures. Anzellotti, G. |

146-150 | Some geometric aspects of Sobolev spaces. Bojarski, B. |

151-154 | On the floating body problem. Doppel, K. |

155-158 | Solvability and bifurcations of some strongly nonlinear equations. Drábek, P. |

159-162 | Finiteness of bound states of general $n$-body operators. Evans, W. D.; Lewis, R.; Saitó, Y. |

163-166 | Blow up for a nonlinear degenerate parabolic equation. Fila, M.; Filo, J. |

167-170 | Homogenization and correctors for nonlinear elliptic equations. Franců, J. |

171-174 | The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity. Hansen, W.; Hueber, H. |

175-179 | Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces. Kačur, J. |

180-182 | On regularity of solutions to some problems of mathematical physics. Koshelev, A. I.; Chelkak, S. I.; Chistyakov, V. M. |

183-186 | Partial differential inequalities as equations with hysteresis. Krejčí, P. |

187-190 | Pressure jumps in the dam problems. Luckhaus, S. |

191-194 | Stability of stationary solutions of parabolic variational inequalities. Quittner, P. |

195-198 | On the nodal set of eigenfunctions. Ruf, B |

199-201 | The Helmholtz decomposition and the weak Neumann problem in $L^q$. Simader, C. G. |

202-203 | Singular lines in liquid crystals. Souček, J. |

204-207 | On a class of scalar conservation laws with locally unbounded solutions. Tesei, A.; Natalini, R. |

208-211 | Dirichlet's problem on a snowflake. Wallin, H. |

Section C: Numerical Methods and Applications

212-213 | Eigenvalue problems with functional-differential equations. Albrecht, J. |

214-217 | On the solvability of the non-homogeneous potential problem at a corner singularity. Arscott, F. |

218-224 | Condition number estimates for elliptic difference problems with anisotropy. Axelsson, O. |

225-227 | A new iterative algorithm for solving the fictitious fluxes method problems for elliptic equations. Bakhvalov, N. S.; Knyazev, A. V. |

228-231 | On the coupling of finite elements and boundary elements for transonic potential flow computations. Berger, H.; Warnecke, G.; Wendland, W. |

232-235 | The optimal control problem in coefficients for the pseudoparabolic variational inequality. Bock, I.; Lovíšek, J. |

236-239 | Numerical calculations for some types of boundary value problems with unbounded domains. Collatz, L. |

240-242 | An electromagnetic free-boundary problem. Descloux, J.; Maillard, P. |

243-247 | Remarks to chaotic vibration in nonlinear dynamical systems. Fazekas, F. |

248-251 | Finite element solution of nonlinear elliptic equations with discontinuous coefficients and approximations in Sobolev-Slobodeckij spaces. Feistauer, M.; Ženíšek, A. |

252-255 | Quasi-Newton updates in row-methods for avoiding Jacobians. Grossmann, Ch. |

256-259 | Domain optimization in axisymmetric elliptic problems. Hlaváček, I. |

260-264 | Numerical aspects of computation of periodic and quasiperiodic solutions in systems of partial differential equations. Holodniok, M.; Kubíček, M. |

265-270 | Numerical modelling of tube fixing in the heat exchanger of a nuclear power plant. Hřebíček, J.; Polcar, P. |

271-274 | Some remarks to numerical solution of the Euler and Navier-Stokes equation. Kozel, K. |

275-278 | Local superconvergence analysis of the approximate boundary-flux calculation. Lazarov, R. D.; Pehlivanov, A. I. |

279-280 | Extrapolation of finite element solutions on non-uniform quadrilateral meshes. Lin, Qun |

281-284 | Uniqueness of the Rothe method for the Burgers equation with piecewise continuous initial data. Martensen, E. |

285-288 | A finite element method for a model of population dynamics with spatial diffusion. Milner, F. |

289-292 | The global solvability to the equations of motion of viscous gas with an artificial viscosity. Neustupa, J. |

293-296 | Transfer of boundary conditions for two-dimensional problems. Práger, M.; Taufer, J.; Vitásek, E. |

297-300 | On the mathematical and numerical modelling of electron beams. Raviart, P.-A. |

301-304 | On an internal approximation of a class of elliptic eigenvalue problems. Vanmaele, M.; van Keer, R. |

305-308 | Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence. Whiteman, J. R.; Goodsell, G. |

309-312 | List of invited speakers. |