Focal decompositions for linear differential equations of the second order
Birbrair, L. ; Sobolevsky, M. ; Sobolevskii, P.
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 813-821 / Harvested from Project Euclid
Focal decomposition associated to an ordinary differential equation of the second order is a partition of the set of all two-points boundary value problems according to the number of their solutions. Two equations are called focally equivalent if there exists a homomorphism of the set of two-points problems to itself such that the image of the focal decomposition associated to the first equation is a focal decomposition associated to the second one. In this paper, we present a complete classification for linear second-order equations with respect to this equivalence relation.
Publié le : 2003-08-07
Classification:  34A26
@article{1063629031,
     author = {Birbrair, L. and Sobolevsky, M. and Sobolevskii, P.},
     title = {Focal decompositions for linear differential equations of the second order},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 813-821},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1063629031}
}
Birbrair, L.; Sobolevsky, M.; Sobolevskii, P. Focal decompositions for linear differential equations of the second order. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  813-821. http://gdmltest.u-ga.fr/item/1063629031/