On solution of one linear problem with initial and boundary conditions

S.S. Kritskaia (Dnipropetrovsk State University)


We solve one boundary problem of fourth order with initial conditions, that appears, for example, when one solves the problem about lateral oscillations of elastic-viscous-relaxating rod of variable profile with variable momentum of inertia with freely supported ends.


Levitan B.M., Sargasian I.S. Introduction to Spectral Theory, Nauka, 1970. (in Russian)

Kritskaia S.S. "Mathematical consideration of the problem about lateral oscillations of the rod with freely supported ends, taking into account the rotation inertia", Res. Math., 1972; 3: pp. 139-142. (in Russian)

DOI: https://doi.org/10.15421/247729



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991