The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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J. Ligęza (1975)
Colloquium Mathematicae
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Hiroshige Shiga (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj–Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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Otto Liess (1987)
Banach Center Publications
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M. Stojanović (1974)
Matematički Vesnik
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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P. Besala (1983)
Annales Polonici Mathematici
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Begehr, Heinrich (1997)
Memoirs on Differential Equations and Mathematical Physics
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Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Rath, Nandita (2000)
International Journal of Mathematics and Mathematical Sciences
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Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Krzysztof A. Topolski (2015)
Annales Polonici Mathematici
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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.
Tadeusz Śliwa (1981)
Colloquium Mathematicae
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