@article{VYURU_2018_11_3_a10,
author = {J. Kisy\'nski},
title = {On the telegraph equation with a small parameter},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {134--149},
year = {2018},
volume = {11},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a10/}
}
TY - JOUR AU - J. Kisyński TI - On the telegraph equation with a small parameter JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2018 SP - 134 EP - 149 VL - 11 IS - 3 UR - http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a10/ LA - en ID - VYURU_2018_11_3_a10 ER -
%0 Journal Article %A J. Kisyński %T On the telegraph equation with a small parameter %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2018 %P 134-149 %V 11 %N 3 %U http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a10/ %G en %F VYURU_2018_11_3_a10
J. Kisyński. On the telegraph equation with a small parameter. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 3, pp. 134-149. http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a10/
[1] Baran W., Stabilność schematów różnicowych aproksymujących zależne od czasu równania: transportu, telegrafistów i dyfuzji, Instytut Badań Jądrowych, Zakład Obliczeń Numerycznych i Teorii Transportu, 1972 (in Polish)
[2] Kisyński J., “Sur les équations hyperboliques avec petit paramètre”, Colloquium Mathematicum, 10, no. 2 (1963), 331–343 (in French) | DOI | MR | Zbl
[3] Kisyński J., “On a Second Order {C}auchy's Problem in a {B}anach Space”, Bulletin Polish Acad. Sci. Math. Series: Sci. Math. Astr. Phys., 18 (1970), 371–374 | MR | Zbl
[4] Kisyński J., “On Cosine Operator Functions and One-Parameter Groups of Operators”, Studia Mathematica, 44:1 (1972), 93–105 | DOI | MR
[5] Kisyński J., On the Connections between Cosine Operator Functions and One Parameter Semi-Groups and Groups of Operators, 6, Wydawnictwo Uniwersytetu Warszawskiego, Warsaw, 1972, 1–9
[6] Nedoma J., “Initial {C}auchy Problem for Hyperbolic Equations with Small Parameter”, Časopis pro pěstováni matematiky, 92:4 (1967), 392–417 | MR
[7] Smoller J. A., “Singular Perturbations and a Theorem of {K}isyński”, Journal of Mathematical Analysis and Applications, 12 (1965), 105–114 | DOI | MR | Zbl
[8] Sova M., “Cosine Operator Functions”, Rozprawy Matematyczne, 49 (1966), 1–47 | MR
[9] Sova M., “Équations hyperboliques avec petit paramètre dans les espaces de {B}anach généraux”, Colloquium Mathematicum, 21:2 (1970), 303–320 (in French) | DOI | MR | Zbl
[10] Weinberg A. M., Wigner E. P., The {P}hysical {T}heory of {N}eutron {C}hain {R}eactors, University of Chicago Press, Chicago, 1958 | MR
[11] Zlámal M., “On the Mixed Problem for a Hyperbolic Equation with a Small Parameter”, Czechoslovak Mathematical Journal, 9:2 (1959), 218–242 (in Russian) | MR
[12] Zlámal M., “Sur l'équation des télégraphistes avec un petit paramètre”, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat., 27:8 (1959), 324–332 (in French) | MR | Zbl
[13] Zlámal M., “The Mixed Problem for Hyperbolic Equations with a Small Parameter”, Czechoslovak Mathematical Journal, 10:1 (1960), 83–122 (in Russian) | MR | Zbl