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This article is cited in 2 scientific papers (total in 2 papers)
Nonclassical Analog of the Goursat Problem for a Three-Dimensional Equation with Highest Derivative
I. G. Mamedov Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan
Abstract:
In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with $L_p$-coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.
Keywords:
three-dimensional equation with highest derivative of fifth order, Goursat problem, Volterra integral equation, Sobolev space.
Received: 18.08.2009 Revised: 20.06.2012
Citation:
I. G. Mamedov, “Nonclassical Analog of the Goursat Problem for a Three-Dimensional Equation with Highest Derivative”, Mat. Zametki, 96:2 (2014), 251–260; Math. Notes, 96:2 (2014), 239–247
Linking options:
https://www.mathnet.ru/eng/mzm8569https://doi.org/10.4213/mzm8569 https://www.mathnet.ru/eng/mzm/v96/i2/p251
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Abstract page: | 748 | Full-text PDF : | 179 | References: | 83 | First page: | 33 |
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