Numerical solution of a parabolic equation with a weakly singular positive-type memory term.
Slodička, Marián (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Slodička, Marián (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alborova, M.S. (2000)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Korkut, Luka, Pas̆ić, Mervan, Z̆ubrinić (2000)
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Oinarov, R., Rakhimova, S.Y. (2010)
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Girg, Petr (2000)
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Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...