MATHEMATICS. MATHEMATIC MODELING

On one inner boundary problem with local displacement for loaded equation of the third order with multiple charachteristics

V. A. Eleev, A. H. Kodzokov

Institute of Computer Science and Problems of Regional Management KBSC RAS

Abstract: The singularity of inner general boundary problem for loading mixed equation of third order is investigated. At first, the non-local inner boundary problem with unknown $u(x,0) = \tau (x)$ on the line $y = 0$ is solved. Then this problem at $y > 0$ reduce to system of integral Voltera's equation of second order and at $y < 0$ to Dalamber's solution.

UDC: 517.956

Received: 26.11.2007

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