Geodesic
Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3

Voir la notice de l'article provenant de la source BMMS

Sufficient conditions for existence and uniqueness of the solution of the Volterra integral equations of the first kind with piecewise continuous kernels are derived in framework of Sobolev-Schwartz distribution theory. The asymptotic approximation of the parametric family of generalized solutions is constructed. The method for the solution's regular part refinement is proposed using the successive approximations method.
Classification : 45D05 
Denis N. Sidorov. Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a12/
@article{BMMS_2014_37_3_a12,
     author = {Denis N. Sidorov},
     title = {Generalized {Solution} to the {Volterra} {Equations} with {Piecewise} {Continuous} {Kernels}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a12/}
}
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