945 resultados para Fractional partial differential equation


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Mode of access: Internet.

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"Only the material on elliptic equations will appear in these notes."

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Mimeographed.

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Bibliography: p. 165-170.

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Originally presented as the author's thesis, University of Illinois at Urbana-Champaign.

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Supported in part by National Science Foundation under Grant No. U.S. NSF-GJ-328.

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Includes bibliographical references (20).

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Vita.

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Cover title.

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Bibliography: leaf [77]

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The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006

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We consider the existence and uniqueness problem for partial differential-functional equations of the first order with the initial condition for which the right-hand side depends on the derivative of unknown function with deviating argument.

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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).