The initial-boundary value problem for some pseudoparabolic system in unbounded domain.
Domańska, G., Lavrenyuk, S. (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Domańska, G., Lavrenyuk, S. (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Wiciak, Margareta (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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J. Rossmann (1992)
Banach Center Publications
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Zhang, Zhongxiang (2005)
General Mathematics
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Werner, T. (1995)
Georgian Mathematical Journal
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Dariusz Idczak (1996)
Banach Center Publications
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In the paper, the generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order is proved. Some application of this theorem to the coercive Dirichlet problem is given.
Dauylbaev, M.K. (2000)
Siberian Mathematical Journal
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Kilbas, Anatoly, Marzan, Sergei (2004)
Fractional Calculus and Applied Analysis
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The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate...
Aliev, A.V., Tarnavskij, G.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Kilbas, Anatoly, Trujillo, Juan, Voroshilov, Aleksandr (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 35A15, 44A15, 26A33 The paper is devoted to the study of the Cauchy-type problem for the differential equation [...] involving the Riemann-Liouville partial fractional derivative of order α > 0 [...] and the Laplace operator.
Mirotin, A.R. (2002)
Sibirskij Matematicheskij Zhurnal
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Lupaş, Alexandru, Lupaş, Luciana (2002)
General Mathematics
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Grebenshchikov, B.G. (2001)
Siberian Mathematical Journal
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