Neumann problems with time singularities

  • Authors:

  • Irena Rachnková;Svatoslav Stank;Ewa Weinmüller;Michael Zenz

  • Affiliations:

  • Department of Mathematical Analysis, Faculty of Science, Palacký University, tř.17.listopadu 12, 771 46 Olomouc, Czech Republic;Department of Mathematical Analysis, Faculty of Science, Palacký University, tř.17.listopadu 12, 771 46 Olomouc, Czech Republic;Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria;Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

In this paper we study the existence and uniqueness of solutions to a nonlinear Neumann problem for a scalar second order ordinary differential equation u^''=atu^'+f(t,u,u^'), where a