Conference on Differential Equations and Their Applications, Prague, August 26-30, 2013

Part 1

**Editor:**

**Organized by:** Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague; Faculty of Civil Engineering, Czech Technical University in Prague; Faculty of Applied Sciences, University of West Bohemia, Pilsen; Faculty of Mathematics and Physics, Charles University in Prague; Faculty of Arts, Charles University in Prague

**Venue:** Prague, 2013

**Publisher:** Institute of Mathematics AS CR, Prague, 2014

**Series:** Mathematica Bohemica, vol. 139, Issue 2

**Proceedings published in:**

Mathematica Bohemica, Vol. 139, Issue 2

113-124 | A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. Bradji, Abdallah; Fuhrmann, Jürgen |

125-136 | Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method. Bradji, Abdallah; Fuhrmann, Jürgen |

137-144 | Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions. Takahashi, Futoshi |

145-154 | Positive solutions of the $p$-Laplace Emden-Fowler equation in hollow thin symmetric domains. Kajikiya, Ryuji |

155-162 | Time delay in chemical exchange during an NMR pulse. Gamliel, Dan |

163-184 | Homogenization of a carcinogenesis model with different scalings with the homogenization parameter. Graf, Isabell; Peter, Malte A. |

185-193 | Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. Krejčiřík, David |

195-211 | Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities. Väth, Martin |

213-229 | On discreteness of spectrum of a functional differential operator. Labovskiy, Sergey; Getimane, Mário Frengue |

231-238 | Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains. Suzuki, Toshiyuki |

239-257 | Systems of reaction-diffusion equations with spatially distributed hysteresis. Gurevich, Pavel; Tikhomirov, Sergey |

259-267 | Quantum-graph vertex couplings: some old and new approximations. Manko, Stepan |

269-283 | A note on the Cahn-Hilliard equation in $H^1(\mathbb R^N)$ involving critical exponent. Cholewa, Jan W.; Rodriguez-Bernal, Anibal |

285-298 | Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator. Pimenov, Alexander; Rachinskii, Dmitrii |

299-313 | Nonlinear boundary value problems involving the extrinsic mean curvature operator. Mawhin, Jean |

315-331 | Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes. Heinemann, Christian; Kraus, Christiane |

333-340 | On the Dirichlet and Neumann problems in multi-dimensional cone. Vasilyev, Vladimir |

341-352 | On the eigenvalues of a Robin problem with a large parameter. Filinovskiy, Alexey |

353-361 | Cauchy problem for the complex Ginzburg-Landau type Equation with $L^{p}$-initial data. Shimotsuma, Daisuke; Yokota, Tomomi; Yoshii, Kentarou |

363-371 | Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats. Ei, Shin-Ichiro; Ikeda, Kota; Nagayama, Masaharu; Tomoeda, Akiyasu |

373-380 | A mathematical model for the recovery of human and economic activities in disaster regions. Kadoya, Atsushi; Kenmochi, Nobuyuki |

381-389 | Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Watanabe, Hiroshi; Shirakawa, Ken |

391-399 | Abstract theory of variational inequalities with Lagrange multipliers and application to nonlinear PDEs. Fukao, Takeshi; Kenmochi, Nobuyuki |

401-416 | On the change of energy caused by crack propagation in 3-dimensional anisotropic solids. Steigemann, Martin; Specovius-Neugebauer, Maria |

417-428 | Some notes on oscillation of two-dimensional system of difference equations. Opluštil, Zdeněk |

429-436 | Forced anisotropic mean curvature flow of graphs in relative geometry. Hoang, Dieu Hung; Beneš, Michal |