Abstract:
For a closed differential operator generated by the Dirichlet problem studied spectra: continuous andresidual spectrum of the operator of a closed form the empty set $C \sigma L=R \sigma L=\oslash$ . The point spectrum $P \sigma L$ of theoperator $L: H_t,x \mapsto H_t,x$ located on the real axis of the complex plane C. Proper vector function of L form a Rieszbasis in the Hilbert space $H_t,x$ .
Keywords:system of differential equations, boundary value problems, closed operators, spectrum, basis, orthogonal basis, a Riesz basis.
