Abstract
For the nonzero solutions of a homogeneous Kármán system, satisfying homogeneous boundary conditions of the first kind at the boundary of an infinite strip, one proves that the energy integral, taken over a piece of the strip of length t, increases not slower than t2 when t→∞. Then, one poses and one solves a boundary value problem for the nonhomogeneous system, where the applied actions need not decrease at infinity.
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Translated from Zaplski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akad. Nauk SSSR, Vol. 96, pp. 97–100, 1980.
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Kalantarov, V. Determination of the solutions of the first boundary value problem for a system of Kármán equations having an unbounded energy integral. J Math Sci 21, 711–714 (1983). https://doi.org/10.1007/BF01094433
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DOI: https://doi.org/10.1007/BF01094433