On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients
Ivan Hlaváček (1971)
Aplikace matematiky
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Ivan Hlaváček (1971)
Aplikace matematiky
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Clark, Marcondes Rodrigues (1994)
International Journal of Mathematics and Mathematical Sciences
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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...
Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
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