On a class of initial-boundary value problems in a domain with boundary containing isolated points
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H. Marcinkowska (1983)
Annales Polonici Mathematici
Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
Eugenio Sinestrari (1984)
Mathematische Zeitschrift
Kalyanapuram Rangachari Parthasarathy (1982)
Mathematische Zeitschrift
Giovanni Maria Troianello (1979)
Manuscripta mathematica
Ferreira, Jorge, Pereira, Ducival Carvalho (1992)
International Journal of Mathematics and Mathematical Sciences
Mikhael Balabane (1989)
Annales de l'I.H.P. Analyse non linéaire
И.В. Сувейка (1982)
Matematiceskie issledovanija
E. N. Dancer, P. Hess (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dong Gun Park, Hiroki Tanabe (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Wolfgang Borchers, Werner Varnhorn (1993)
Mathematische Zeitschrift
Krzysztof A. Topolski (2015)
Annales Polonici Mathematici
We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.
Romuald Carpentier, Armel de La Bourdonnaye, Bernard Larrouturou (1997)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Francois Alouges, Arnaud Debussche (1993)
Numerische Mathematik
Kunze, M., Monteiro Marques, M.D.P. (1998)
Portugaliae Mathematica
Carvalho e Silva, Jaime (1989)
Portugaliae mathematica
Tosio Kato (1979)
Manuscripta mathematica
Karel Rektorys (1974)
Acta Universitatis Carolinae. Mathematica et Physica
Satsanit, Wanchak (2010)
Mathematical Problems in Engineering
Schuchman, Vladimir (1988)
International Journal of Mathematics and Mathematical Sciences
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