Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977

**Editor:** Fábera, Jiří

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

**Venue:** Prague, 1977

**Publisher:** Springer-Verlag, Berlin, 1979

**ISBN:** 3540091165

**Series:** Lecture Notes in Mathematics, 703

Zbl 0393.00004

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

[I] | Preface. |

[V]-VIII | List of invited addreses. |

[IX]-XVI | List of communications. |

[XVII]-XIX | Contents. |

[1]-4 | Invariant sets for semilinear parabolic and elliptic systems. Amann, H. |

[5]-15 | On the numerical solution of nonlinear partial differential equations on divergence form. Axelsson, O. |

[16]-24 | Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations. Bainov, D. D.; Milusheva, S. D. |

[25]-30 | Solution set properties for some nonlinear parabolic differential equations. Bebernes, J. W. |

[31]-34 | Asymptotic invariant sets of autonomous differential equations. Bihari, I. |

[35]-45 | Algebraic methods in the theory of global properties of the oscillatory equations $Y''=Q(t)Y$. Borůvka, O. |

[46]-53 | Stability problems in mathematical theory of viscoelasticity. Brilla, J. |

[54]-63 | On the branching of solutions and Signorini's perturbation procedure in elasticity. Capriz, G. |

[64]-72 | Differential subspaces associated with pairs of ordinary differential operators. Coddington, E. A. |

[73]-80 | Control and the van der Pol equation. Conti, R. |

[81]-85 | On properties of spectral approximations. Nassif, N.; Descloux, J.; Rappaz, J. |

[86]-92 | Singular perturbations and linear feedback control. Dragan, V.; Halanay, A. |

[93]-98 | On some inverse problems for partial differential equations. Dümmel, S. |

[99]-109 | Nonlinear noncoercive boundary value problems. Fučík, S. |

[110]-117 | On the iterative solution of some nonlinear evolution equations. Gajewski, H. |

[118]-129 | Exponential representation of solutions of ordinary differential equations. Gamkrelidze, H. |

[130]-138 | The Rayleigh and van der Pol wave equations, some generalizations. Hall, W. S. |

[139]-144 | The Dirichlet problem. Hansen, W. |

[145]-151 | Multiple solutions of some asymptotically linear elliptic boundary value problems. Hess, P. |

[152]-159 | Dual finite element analysis for some unilateral boundary value problems. Hlaváček, I. |

[160]-169 | Gradient alternating-direction methods. Il'in, V. |

[170]-178 | Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions. Kačur, J. |

[179]-188 | Variational and boundary value problems for differential equations with deviating argument. Kamenskii, G. A.; Myshkis, A. D. |

[189]-196 | On a general conception of duality in optimal control. Klötzler, R. |

[197]-204 | Boundary value problems for systems of nonlinear differential equations. Knobloch, H. W. |

[205]-212 | Boundary behavior of potentials. Král, J. |

[213]-223 | Some modifications of Sobolev spaces and non-linear boundary value problems. Kufner, A. |

[224]-232 | Some problems in neutron transport theory. Kyncl, J.; Marek, I. |

[233]-240 | On formulation and solvability of boundary value problems for viscous incompressible fluids in domains with non-compact boundaries. Ladyženskaja, O. A. |

[241]-249 | Boundary value problems at resonance for vector second order nonlinear ordinary differential equations. Mawhin, J. |

[250]-262 | Behaviour of solutions to the Dirichlet problem for the biharmonic operator at a boundary point. Maz'ya, V. G. |

[263]-270 | Asymptotic methods for singularly perturbed linear differential equations in Banach spaces. Mika, Janusz |

[271]-285 | Non linear quasi variational inequalities and stochastic impulse control theory. Mosco, Umberto |

[286]-299 | On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems. Nečas, J. |

[300]-308 | The solution of parabolic models by finite element space and $A$-stable time discrezation. Nedoma, J. |

[309]-317 | Global properties of the $n$th order linear differential equations. Neuman, F. |

[318]-327 | A forced quasilinear wave equation with dissipation. Nohel, J. A. |

[328]-339 | Energetic estimates analogous to the Saint-Venant principle and their applications. Oleinik, O. A. |

[340]-347 | A priori bounds for a semilinear wave equation. Rabinowitz, Paul H. |

[348]-355 | The method of least squares on the boundary and very weak solutions of the first biharmonic problem. Rektorys, K. |

[356]-365 | Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter. Ryabov, Yu. |

[366]-373 | On linear problems in the space BV. Schwabik, Š.; Tvrdý, M. |

[374]-383 | A partially ordered space connected with the de la Vallée Poussin problem. Šeda, V. |

[384]-396 | Abstract Cauchy problem. Sova, M. |

[397]-404 | Solution of symmetric positive systems of differentional equations. Sultangazin, U. M. |

[405]-414 | Some problems concerning the functional differential equations. Švec, M. |

[415]-423 | $A$-stability and numerical solution of abstract differential equations. Taufer, J.; Vitásek, E. |

[424]-432 | Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces $B^s_{p,p}(\Omega)$. The case $0<p<\infty$. Triebel, H. |

[433]-441 | A new description and some modifications of Filippov cone. Vrkoč, I. |