Geodesic
Singular boundary value problems for second-order ordinary differential equations
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 30 (1987), pp. 105-201 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article gives an exposition of the fundamental results of the theory of boundary-value problems for ordinary second-order differential equations having singularities with respect to the independent variable or one of the phase variables. In particular criteria are given for solvability and unique solvability of two-point boundary-value problems and problems concerning bounded and monotonic solutions. Several specific problems are considered which arise in applications (atomic physics, field theory, boundary-layer theory of a viscous incompressible fluid, etc.) 
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     author = {I. T. Kiguradze and B. L. Shekhter},
     title = {Singular boundary value problems for second-order ordinary differential equations},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {105--201},
     year = {1987},
     volume = {30},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/}
}
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I. T. Kiguradze; B. L. Shekhter. Singular boundary value problems for second-order ordinary differential equations. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 30 (1987), pp. 105-201. http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/