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
MOSAZADEH,S . "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
CHICAGO
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
VANCOUVER
MOSAZADEH S. Infinite Product Representation of Solution of Indefinite SturmLIouville Problem. Iranian J. Math. Chem.. 2013;4(1):27-40. doi: 10.22052/ijmc.2013.5280
