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Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Method of oscillation spectral problem self-similar weight
2011/9/20
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
eigenvalues of high-order differential operator discrete self-similar weight
2010/12/14
Аннотация. В статье изучается вопрос об асимптотике спектра граничной задачи (−1)n y(2n) − y = 0,y(k)(0) = y(k)(1) = 0, 0 6 k < n,в случае, когда порядок 2n уравнения удовлетворяет нерав...