On One 3-Dimensional Boundary-Value Problem with Inclined Derivatives
Science Journal of Applied Mathematics and Statistics
Volume 3, Issue 4, August 2015, Pages: 188-193
Received: Jun. 11, 2015; Accepted: Jul. 7, 2015; Published: Jul. 7, 2015
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Authors
Mekhtiyev Magomed Farman, Faculty of Applied Mathematics and Cybernetics, Baku State University, Baku, Azerbaijan
Aliyev Nihan Alipanah, Faculty of Applied Mathematics and Cybernetics, Baku State University, Baku, Azerbaijan
Fomina Nina Ilyinichna, Faculty of Applied Mathematics and Cybernetics, Baku State University, Baku, Azerbaijan
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Abstract
A boundary-value problem with inclined derivatives in 3-dimensional space with the boundaries – surfaces of Liapunov type is considered in the paper. The method of investigation is based on the necessary conditions. The advantage compared to the theory of potentials is that we don‘t have limit passage, we use boundary values which are obtained from the principal relationships called necessary conditions. Remark that the directions of the derivatives given in the boundary conditions are arbitrary. Tangent directions may be some subset of the given directions.
Keywords
Inclined Derivatives, Normal Derivative, Necessary Conditions, Theory of Potentials, Fredholm Integral Equations of Second Kind
To cite this article
Mekhtiyev Magomed Farman, Aliyev Nihan Alipanah, Fomina Nina Ilyinichna, On One 3-Dimensional Boundary-Value Problem with Inclined Derivatives, Science Journal of Applied Mathematics and Statistics. Vol. 3, No. 4, 2015, pp. 188-193. doi: 10.11648/j.sjams.20150304.14
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