International Conference on Differential Equations, Czecho-Slovak series, Comenius University, Bratislava, Slovakia, July 25 - 29, 2005

Proceedings of minisymposia and contributed talks



Title page (PDF format)

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J. M. Arrieta and A. Rodrígues-Bernal: Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions

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M. Berti: Nonlinear oscillations of completely resonant wave equations

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Th. Blesgen: On ab-initio computations for phase change problems in solids

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D. Blömker, M. Hairer and G. A. Pavliotis: Stochastic Swift-Hohenberg equation near a change of stability

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P. Böhm: Diffpack Technical Summary

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J. Dalík and J. Svoboda: Numerical modeling of the simultaneous heat and moisture transfer

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F. A. Davidson and N. Dodds: Properties of eigenfunctions of non-local operators

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J. Engländer and R. G. Pinsky: Uniqueness/nonuniqueness for nonnegative solutions of a class of second-order parabolic equations

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R. Farwig, H. Kozono and H. Sohr: The Helmholtz Decomposition in Arbitrary Unbounded Domains - A Theory Beyond L2

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M. Feistauer and V. Kuèera: Higher order method for the numerical solution of the compressible Euler equations

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A. Córdoba, D. Córdoba and M. A. Fontelos: Finite time singularities in transport equations with nonlocal velocities and fluxes

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T. Gallouët: Hyperbolic equations and systems with discontinuous coefficients or source terms

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A. Go³aszewska and J. Turo: Carathéodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays

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Nguyen Duc Huy and J. Stará: On existence and Schauder regularity of solutions to a class of generalized stationary Stokes problems

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M. Chaves: On a blow-up estimate for a higher order semilinear parabolic equation

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D. Cheban and C. Mammana: Invariant manifolds and almost automorphic solutions of second-order monotone equations

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F. Jaroš: Strict j-disconjugacy of n-th order linear differential equations with delays

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J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal: Robin type conditions arising from concentrated potentials

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J. Danìèek, O. John and J. Stará: Interior regularity for weak solutions of nonlinear second order elliptic systems

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J. Kalas: Asymptotic properties of a two-dimensional differential system with delay

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M. Krbec and H.-J. Schmeisser: A limiting case of the uncertainty principle

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J. Kuben: Asymptotic equivalence of systems of difference equations

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Tsang-Hai Kuo: Some existence result to elliptic equations with semilinear coefficients

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I. P. Lima and L. Morgado: Numerical approximation of singular boundary value problems for a nonlinear differential equation

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R. Liska and M. Kuchaøík: Arbitrary Lagrangian Eulerian method for compressible plasma simulations

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Y. Maekawa: On spatial decay estimates for derivatives of vorticities of the two dimensional Navier-Stokes flow

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K. Makovínyiová and R. Zimka: On the existence of Hopf bifurcation in an open economy model

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L. Maòásek: Constructing a solution of a boundary value problem for functional differential equations

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N. Matzakos: Boundary value problems for strongly nonlinear second order differential inclusions

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S. Meier and M. Böhm: On a micro-macro system arising in diffusion-reaction problems in porous media

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V. Miljanoviæ: Derivation of the Drift Diffusion Shockley-Read-Hall Model for Semi- conductors

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F. Minhós, T. Gyulov and A. I. Santos: Existence and location result for the bending of a single elastic beam

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E. Minchev: Systems for phase transitions with hysteresis effect

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I. Mojsej and J. Ohriska: On third order advanced nonlinear differential equations

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P. Neèesal: The Beam Operator and the Fuèík Spectrum

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M. Macrí and M. Nolasco: Existence and asymptotics for selfdual periodic vortices of topological-type

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T. Oberhuber: Computational study of the Willmore flow on graphs

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S. Ogorodnikova: Multiple solutions of nonlinear BVPs for equations with critical points

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I. Ohnishi and M. Mimura: A mathematical aspect for liesegang phenomena

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A. Pedro: Oscillation and nonoscillation criteria for retarded functional differential equations

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A. de Pablo, M. Pérez-Llanos and R. Ferreira: Numerical blow-up for the p-Laplacian equation with a nonlinear source

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M. A. Peter and M. Böhm: Scalings in homogenisation of reaction, diffusion and nterfacial exchange in a two-phase medium

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P. Rand: Asymptotic analysis of a nonlinear partial differential equation in a semicylinder

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J. Rang and L. Angermann: New Rosenbrock Methods of order 3 for PDAEs of Index 2

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V. Reitmann: Convergence in evolutionary variational inequalities with hysteresis nonlinearities

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J. M. Arrieta, N. Moya, A. Rodríguez-Bernal: Dissipative dynamics of reaction diffusion equations in RN

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J. Prüss, J. Saal and G. Simonett: Analytic solutions for the classical two-phase Stefan problem

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García-Melían, J. D. Rossi and J. Sabina de Lis: Semilinear problems perturbed through the boundary condition

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A. Gritsans and F. Zh. Sadyrbaev: On the Nehari solutions

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O. Sawada: Remarks on the incompressible Navier-Stokes flows for linearly growing initial data

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N. M. Stavrakakis and M. N. Poulou: Eigenvalue questions on some quasilinear elliptic problems

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N. M. Stavrakakis: On some Klein-Gordon-Schrödinger type systems

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M. Lehn, A. Stippler and K. Urban: FLENS - A Flexible Library for Efficient Numerical Solutions

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Z. Svoboda: Positive solutions of p-type retarded functional linear differential equations

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J. I. Tello: On a nonlinear nonlocal ODE and its applications

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P. Tomiczek: Saddle Point Theorem and Fredholm alternative

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K. Tomoeda: Support Re-Splitting Phenomena

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H. Uecker, N. Breindl and G. Schneider: Mathematical theory for the Ginzburg-Landau approximation in semilinear pattern forming systems with time-periodic forcing applied to electro-convection in nematic liquid crystals

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J. Vala: On a numerical model of phase transformation in substitutional alloys

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A. Rodríguez-Bernal and A. Vidal-López: Extremal equilibria for parabolic non-linear reaction-diffusion equations

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A. Canada, J. A. Montero and S. Villegas: Optimal Lyapunov inequalities and applications to nonlinear problems

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J. Danìèek and E. Viszus: A remark on Morrey type regularity for nonlinear elliptic systems of second order systems

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H. C. Wang: On a ground state and two symmetric ground state solutions in a domain

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M. Winkler: Connections between spatial decay of initial data and time asymptotics in a supercritical parabolic equation

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I. Yermachenko: Multiple solutions of nonlinear BVPs by the quasilinearization process

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N. Yoshida: Oscillation criteria for half-linear partial differential equations via Picone's identity

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