Determination of the solutions of the first boundary value problem for a system of Kármán equations having an unbounded energy integral
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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