BOUNDARY VALUE PROBLEMS FOR TWICE DEGENERATE DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS

Работа посвящена исследованию разрешимости краевых задач для вырождающихся дифференциальных уравнений вида $$varphi(t)u_t-(-1)^mpsi(t)D^{2m+1}_{x}u+c(x,t)u=f(x,t)$$ ($D^k_x=frac{partial^k}{partialx^k,,mgeq 1}$ целое, $xin(0,1),, tin(0,T),,0 We study the solvability of boundary value problems for degenerate differential equations of the form $$varphi(t)u_t-(-1)^mpsi(t)D^{2m+1}_{x}u+c(x,t)u=f(x,t)$$ ($D^k_x=frac{partial^k}{partialx^k,,mgeq 1}$ is an integer, $xin(0,1),, tin(0,T),,0

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