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On the Uniqueness Theorem for Generalized Solutions of Initial-Boundary Problems for the Marguerre—Vlasov Vibrations of Shallow Shells with Clamped Boundary Conditions

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Abstract.

The uniqueness theorem for generalized solutions of initial-boundary problems for the Marguerre—Vlasov vibrations of shallow shells with clamped boundary conditions is proved. A unique method developed by the author, based upon a nonstandard treatment of smoothing operators, is applied instead of using an enclosure theorem at the critical values of indices.

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Authors and Affiliations

  1. Department of Mathematics, National Academy of Economy, Bolshaya Sadovaya 69, Rostov-on-Don 344007, Russia , , , , , , RU

    V. I. Sedenko

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  1. V. I. Sedenko
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Accepted 10 November 1997

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Sedenko, V. On the Uniqueness Theorem for Generalized Solutions of Initial-Boundary Problems for the Marguerre—Vlasov Vibrations of Shallow Shells with Clamped Boundary Conditions . Appl Math Optim 39, 309–326 (1999). https://doi.org/10.1007/s002459900108

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  • DOI: https://doi.org/10.1007/s002459900108

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