On defining the generalized functions  and .

Koh, E.K.; Li, C.K.

Displaying similar documents to “On defining the generalized functions $δ^{α} (z)$ and $δ^{n} (x)$ .”

A distributional representation of strip analytic functions.

Mitrovic, Dragisa (1982)

International Journal of Mathematics and Mathematical Sciences

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Generalized analytic functions with applications to singular ordinary and partial differential equations

Bogdan Ziemian

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CONTENTS Introduction.............................................................................................................................................5 I. Preliminaries.........................................................................................................................................7 1. A review of classical results in the theory of Laplace integra............................................................7 2. Boundary values of holomorphic functions......................................................................................10...

On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments

Antoni Augustynowicz (1999)

Annales Polonici Mathematici

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We prove an existence theorem of Cauchy-Kovalevskaya type for the equation $D_{t} u (t, z) = f (t, z, u (α^{(0)} (t, z)), D_{z} u (α^{(1)} (t, z)), . . ., D_{z}^{k} u (α^{(k)} (t, z)))$ where f is a polynomial with respect to the last k variables.

A T(b) theorem with remarks on analytic capacity and the Cauchy integral

Michael Christ (1990)

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The Cauchy problem and Hadamard's example

Jan Persson (1976)

Journées équations aux dérivées partielles

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Counterexamples to Hölmgren's uniqueness for analytic non linear Cauchy problem.

G. Métivier (1993)

Inventiones mathematicae

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A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients

H. Marcinkowska (1971)

Annales Polonici Mathematici

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Analytic functions in general analysis

Angus E. Taylor (1937)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations

Kunihiko Kajitani (2000)

Journées équations aux dérivées partielles

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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of $p$ -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When $p = 2$ , his equation as the global real analytic solution for the real analytic initial data.

Distributional boundary values in $𝔇_{L^{p}}^{'}$ . II

Richard D. Carmichael (1971)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “On defining the generalized functions δ α ( z ) and δ n ( x ) .”

Displaying similar documents to “On defining the generalized functions $δ^{α} (z)$ and $δ^{n} (x)$ .”