Geodesic
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order
Electronic journal of differential equations, Tome 2013 (2013)
In this work, we show the existence of a solution for a two-point boundary-value problem having a singular differential equation of variable order. We use some analysis techniques and the Arzela-Ascoli theorem, and then illustrate our results with examples.
Classification : 26A33, 34B15
Keywords: derivatives and integrals of variable order, singular, differential equations of variable order, arzela-ascoli theorem 
@article{EJDE_2013__2013__a135,
     author = {Zhang,  Shuqin},
     title = {Existence of solutions for two-point boundary-value problems with singular differential equations of variable order},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1295.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a135/}
}
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Zhang,  Shuqin. Existence of solutions for two-point boundary-value problems with singular differential equations of variable order. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a135/