Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985

III-IV | Preface. |

V-VII | Contents. |

VIII | List of further main lectures presented at the conference. |

[IX]-XVI | List of papers presented at the conference. |

XVII-XX | List of participants. |

Plenary lectures

[3]-16 | Mathematical and numerical study of nonlinear problems in fluid mechanics. Feistauer, Miloslav |

17-22 | Free boundary problems in fluid dynamics. Friedman, Avner |

23-34 | Method of Rothe in evolution equations. Kačur, Jozef |

35-48 | Boundary value problems in weighted spaces. Kufner, Alois |

49-58 | Critical point theory and nonlinear differential equations. Mawhin, Jean |

59-70 | Ordinary linear differential equations - a survey of the global theory. Neuman, František |

71-84 | Numerical and theoretical treating of evolution problems by the method of discretization in time. Rektorys, Karel |

85-94 | Algorithms for the inclusion of solutions of ordinary initial value problems. Stetter, Hans J. |

95-106 | Recent developments in the theory of function spaces. Triebel, Hans |

Section A: Ordinary differential equations

[109]-113 | On properties of oscillatory solutions of non-linear differential equations of the n-th order. Bartušek, Miroslav |

[115]-121 | Uniqueness without continuous dependence. Burton, Theodore Allen; Dwiggins, D. P. |

[123]-128 | Connections in scalar reaction diffusion equations with Neumann boundary conditions. Fiedler, Bernold; Brunovský, Pavol |

129-132 | On a certain boundary value problem of the third order. Greguš, Michal |

[133]-139 | On nonparasite solutions. Krbec, Pavel |

[141]-148 | Uniform zeros for beaded strings. Kreith, Kurt |

[149]-154 | Perron integral, Perron product integral and ordinary differential equations. Kurzweil, Jaroslav; Jarník, Jiří |

[155]-160 | On the zeros of some special functions: differential equations and Nicholson-type formulas. Muldoon, Martin E. |

[161]-170 | Surjectivity and boundary value problems. Šeda, Valter |

[171]-179 | Some problems concerning the equivalences of two systems of differential equations. Švec, Marko |

[181]-186 | Linear perturbations of general disconjugate equations. Trench, William F. |

[187]-190 | On optimal control of systems with interface side conditions. Tvrdý, Milan |

Section B: Partial differential equations

[193]-196 | A description of blow-up for the solid fuel ignition model. Bebernes, Jerrold W. |

[197]-202 | Spectral analysis of non-self-adjoint elliptic operators. Brilla, Jozef |

[203]-208 | On the mountain pass lemma. Kung-Ching Chang |

[209]-214 | On uniqueness and stability of steady-state carrier distributions in semiconductors. Gajewski, Herbert |

[215]-219 | Partial regularity of minimizers. Giaquinta, Mariano |

[221]-226 | Periodic solutions of partial differential equations with hysteresis. Krejčí, Pavel |

227-234 | Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions. Kučera, Milan |

[235]-242 | Boundary integral equations of elasticity in domains with piecewise smooth boundaries. Maz'ya, Vladimir G. |

[243]-246 | Higher regularity of weak solutions of strongly nonlinear elliptic equations. Simader, Christian G. |

[247]-250 | Some regularity results for quasilinear parabolic systems. Stará, Jana; John, Oldřich |

251-258 | Classical boundary value problems for Monge-Ampère type equations. Trudinger, Neil S. |

[259]-264 | Qualitative properties of the solutions to the Navier-Stokes equations for compressible fluids. Valli, Alberto |

Section C: Numerical Methods

[267]-274 | On Gel'fand's method of chasing for solving multipoint boundary value problems. Agarwal, Ravi P. |

[275]-284 | Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations. Axelsson, Owe |

[285]-289 | Recent results in the approximation of free boundaries. Brezzi, Franco |

[291]-294 | Finite element solution of a nonlinear diffusion problem with a moving boundary. Čermák, Libor; Zlámal, Miloš |

[295]-302 | Analysis of Thacker's method for solving the linearized shallow water equations. Descloux, Jean; Ferro, Robert |

[303]-308 | The convergence of a new method for calculating lower bounds to eigenvalues. Goerisch, Friedrich; Albrecht, Julius |

[309]-314 | Bifurcation analysis of stimulated Brillouin scattering. Janovský, Vladimír; Marek, Ivo; Neuberg, Jiří |

[315]-320 | Superconvergence results for linear triangular elements. Křížek, Michal |

[321]-325 | Mixed finite element in 3D in $H(\operatorname{div})$ and $H(\operatorname{curl})$. Nédélec, Jean-Claude |

[327]-332 | Free boundary problems for Stoke's flows and finite element methods. Nitsche, Joachim A. |

[333]-338 | Enclosing methods for perturbed boundary value problems in nonlinear difference equations. Schmidt, Jochen W. |

[339]-344 | Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data. Thomée, Vidar |

[345]-352 | Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. Whiteman, John Robert |

353-358 | Some new convergence results in finite element theories for elliptic problems. Ženíšek, Alexander |

Section D: Applications

[361]-366 | Mathematical solution of direct and inverse problem for transonic cascade flows. Bolek, P.; Fořt, Jaroslav; Kozel, Karel; Polášek, Jan |

[367]-372 | Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben. Collatz, Lothar |

[373]-378 | A posteriori estimations of approximate solutions for some types of boundary value problems. Kodnár, Rudolf |

[379]-386 | Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions. Kubíček, Milan; Holodniok, Martin |

[387]-392 | The ROTHE method for nonlinear hyperbolic problems. Martensen, Erich |

[393]-398 | Some solved and unsolved canonical problems of diffraction theory. Meister, E. |

[399]-408 | Entropy compactification of the transonic flow. Nečas, Jindřich |

[409]-414 | The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid. Neustupa, Jiří |

[415]-420 | Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parametr. Sadovský, Zoltán |

[421]-424 | Delay makes problems in population modelling. Smítalová, Kristína |

Supplement

[427]-430 | Analytical and computational problems in higher special functions. Arscott, Felix M. |

[431]-434 | On oscillation of solutions of linear ordinary differential equations. Chanturia, Teimuraz A. |

[435]-444 | Deterministic and stochastic vector differential equations applied in technical systems theory. Fazekas, F. |

[445]-450 | Shape optimization in contact problems. Haslinger, Jaroslav |

[451]-458 | Zur analytischen Lösung alter und neuer geometrischer Optimierungsprobleme. Klötzler, Rolf |

[459]-464 | On the smoothness of the solutions to the elliptic systems. Koshelev, Alexander Ivanovich |

465-468 | On the asymptotic behavior of solutions of nonlinear ordinary differential equations. Kusano, Takaŝi |