This article is cited in 6 papers

Nonlinear vibrations of a nonhomogeneous string

I. A. Rudakov

Bryansk State Pedagogical University

Abstract: We consider a semilinear equation for the forced vibrations of a finite string with $x$-dependent coefficients under Dirichlet boundary conditions. The existence of the time-periodic solution in nonresonant case is proved. It isn't require the Lipschitz condition. The proof uses the method of monotonic operators and principe Leray–Schauder of the fixed point.

UDC: 517.946

Received: 01.04.2000

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