A SPECTRAL THEOREM FOR A PAIR OF SECOND ORDER DIFFERENTIAL EQUATIONS

BASUDEB RAY PALADHI

Abstract


The present paper deals with the problem involving the nature of the spectrum of a second order matrix differential equation with a prescribed set of boundary conditions at an end point. The method used is Titclzmarsh's complex variable method as initiated in his Eigen function expansion associated with the second order differential equations.

Keywords


Spectrum; boudary condition vector; Kronecker delta, L-solution; eigen value parameter; principle of reflection; entire function.

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