Geodesic
Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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 
@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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AU  - Denis N. Sidorov
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JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2014
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a12/
ID  - BMMS_2014_37_3_a12
ER  - 
%0 Journal Article
%A Denis N. Sidorov
%T Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels
%J Bulletin of the Malaysian Mathematical Society
%D 2014
%V 37
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a12/
%F BMMS_2014_37_3_a12
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/