Abstract and Applied Analysis
Volume 6 (2001), Issue 4, Pages 215-228
doi:10.1155/S1085337501000562

On the solvability of a system of wave and beam equations

Abstract

We prove new existence results for linearly coupled system of wave and beam equations. The main concept is the matrix spectrum which is a natural extension of standard definition. Using invariant subspaces together with degree theoretic argument we obtain information about the range of the abstract operator.