The Eigenfunction Expansion of singular Sturm-Liouville problem with sign-valued weight

Zaki F.A. El-Raheem, Shimaa A.M. Hagag

Abstract


In the present paper,~we investigate an eigenfunction expansion associated to a singular Sturm-Liouville problem in finite interval with the sign valued weight by two ways,~first by standard method,~second by proving its convergence in some metric space $L_{2}(0,\pi;\rho(x))$.

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