Condensed Matter Physics, 2008, vol. 11, No. 4(56), p. 755-760

Title: Local solutions to Darboux problem with a discontinuous right-hand side
  P.Pikuta (Marie Curie-Skłodowska University, Institute of Mathematics pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland)

The existence of a local solution to the Darboux problem uxy(x,y)=g(u(x,y)), u(x,0)=u(0,y)=0, where g is Lebesgue measurable and has at most polynomial growth, is proved.

Key words: Darboux problem, discontinuous differential equations
PACS: 02.30.Jr

Full text [pdf, ps] << List of papers