Proceedings of the Conference held in Prague in September 1962

**Editor:**

**Organized by:** Czechoslovak Academy of Sciences; Association of Czechoslovak Mathematicians and Physicists

**Venue:** Prague, 1962

**Publisher:** Publishing House of the Czechoslovak Academy of Sciences, Prague, 1963

MR0167666 | Zbl 0128.00303

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

5 | Preface. |

7 | Contents. |

9-11 | List of communications presented in sections. |

13-26 | The theory of small changesin the domain of existence in the theory of partial differential equations and its applications. Babuška, I. |

27-38 | Transformation of ordinary second-order linear diferential equations. Borůvka, O. |

39-54 | Integral manifolds and nonlinear oscillations. Hale, Jack K. |

55-63 | Solutions of a linear second order equation of parabolic type defined in an unbounded domain. Krzyżański, M. |

65-76 | Problems which lead to a generalization of the concept of an ordinary nonlinear differential equation. Kurzweil, J. |

77-92 | Variational methods of solving linear and nonlinear boundary value problems. Mihlin, S. G. |

93-104 | On the solution of elliptic partial differential equations with an unbounded Dirichlet integral. Nečas, J. |

105-120 | On some qualitative methods for systems of ordinary diferential equations in the large. Nemyckiĭ, V. V. |

121-122 | Elliptic partial differential equations and ordinary differential equations in Banach space. Nirenberg, L. |

123-130 | Stability of numerical processes. Práger, M.; Vitásek, E. |

131-135 | Asymptotic formulas for the solutions of linear differential equations of the second order. Ráb, M. |

137-141 | Solution of nonlinear parabolic equations by finite difference method for an arbitrary time interval. Rektorys, K. |

143-165 | Nonlinear differential systems of the third and fourth order. Sansone, G. |

167-177 | Some new problems in the theory of partial differential equations. Sobolev, S. L. |

179-186 | On the properties of linear differential equations of the second order in the complex domain. Šeda, V. |

187-198 | On various properties of the solutions of third- and fourth-order linear differential equations. Švec, M. |

199-215 | Nonlinear boundary-value problems for differential equations. Vejvoda, O. |

217-221 | On some stability problems. Vrkoč, I. |

223-228 | On a certain extension of the maximum principle. Výborný, R. |

229-242 | On an optimal control problem. Ważewski, T. |

243-247 | The parabolic equations as a limiting case of hyperbolic and elliptic equations. Zlámal, M. |