On linear singular functional-differential equations in one functional space
Shindiapin, Andrei
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 567-575 / Harvested from Project Euclid
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We use a special space of integrable functions for studying the Cauchy problem for linear functional-differential equations with nonintegrable singularities. We use the ideas developed by Azbelev and his students (1995). We show that by choosing the function $\psi$ generating the space, one can guarantee resolubility and certain behavior of the solution near the point of singularity.
Publié le : 2004-06-29
Classification:  34K10 
@article{1089229146,
     author = {Shindiapin, Andrei},
     title = {On linear singular functional-differential equations
in one functional space},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 567-575},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1089229146}
}

Shindiapin, Andrei. On linear singular functional-differential equations
in one functional space. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  567-575. http://gdmltest.u-ga.fr/item/1089229146/