DOI:10.5488/CMP.11.4.755
Title:
Local solutions to Darboux problem with a discontinuous right-hand side
Author(s):
| 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
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