Document Zbl 1053.35041

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Solutions to a partial differential equation appeared in mechanics. (English) Zbl 1053.35041

Bull., Cl. Sci. Math. Nat., Sci. Math. 127, No. 28, 41-60 (2003).

Existence and uniqueness of solutions to a model partial differential equation arising in rod mechanics is presented. Several special cases are treated corresponding to an elastic rod with and without axial force and with various boundary and initial conditions. Explicit solutions are obtained and their properties discussed.

Reviewer: Teodor Atanacković (Novi Sad)

MSC:

35D05

Existence of generalized solutions of PDE (MSC2000)

Keywords:

tempered distributions; Laplace transform

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