The nonlinear differential equation and weighted Bergman space
The properties of analytic solutions of the nonlinear nonhomogeneous complex differential equation(f(k))nk+Bk-1(f(k-1))nk-1+…+B1(f')n1+B0f=Bk is discussed by combining the theory of analytic function space and theory of complex differential equation,the coefficient condition that the analytical solution belongs to the weighted Bergman space(Apω)is obtained.
nonlinear complex differential equationunit circleweighted Bergman spaceanalytic function
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