Geodesic
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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

This work is an edited translation, by A. Bobrowski and W. Chojnacki, of the original Polish text entitled O równaniu telegrafistów z małym parametrem which appeared in Prace Naukowe Politechniki Lubelskiej 212, Matematyka (Research Bulletin of the Lublin University of Technology 212, Mathematics), 1991, vol. 12, pp. 17–40.

[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