Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order
Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 716-722

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A method of constructing an asymptotic solution of a singularly perturbed Volterra integral equation in the case of a spectral singularity of first order is proposed.
Keywords: asymptotic integration, Volterra integral equation of the second kind.
Mots-clés : singular perturbation
@article{MZM_2017_101_5_a6,
     author = {A. G. Eliseev and D. A. Shaposhnikova},
     title = {Asymptotic {Integration} of a {Singularly} {Perturbed} {Volterra} {Equation} in the {Case} of a {Spectral} {Singularity} of {First} {Order}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {716--722},
     publisher = {mathdoc},
     volume = {101},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a6/}
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A. G. Eliseev; D. A. Shaposhnikova. Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order. Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 716-722. http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a6/