In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. Nachr. 229, 51-71 (2001)] for a special fundamental system of the solutions of Sturm-Liouville equation, we obtain the asymptotic behavior of it’s solutions and eigenvalues, then we obtain the infinite product representation of solution of the equation.
MOSAZADEH, S. (2013). Infinite Product Representation of Solution of Indefinite SturmLIouville Problem. Iranian Journal of Mathematical Chemistry, 4(1), 27-40. doi: 10.22052/ijmc.2013.5280
MLA
S. MOSAZADEH. "Infinite Product Representation of Solution of Indefinite SturmLIouville Problem", Iranian Journal of Mathematical Chemistry, 4, 1, 2013, 27-40. doi: 10.22052/ijmc.2013.5280
HARVARD
MOSAZADEH, S. (2013). 'Infinite Product Representation of Solution of Indefinite SturmLIouville Problem', Iranian Journal of Mathematical Chemistry, 4(1), pp. 27-40. doi: 10.22052/ijmc.2013.5280
VANCOUVER
MOSAZADEH, S. Infinite Product Representation of Solution of Indefinite SturmLIouville Problem. Iranian Journal of Mathematical Chemistry, 2013; 4(1): 27-40. doi: 10.22052/ijmc.2013.5280
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