Existence of eigenvalues for second-order differential systems
Existence of eigenvalues for second-order differential systems
The paper is concerned with establishing the existence of eigenvalues for the second order differential systemλ)y, together with boundary conditions y{a) = A(λ)y(b) + B(λ)z(b), z(a) = C(λ)y(b) + D(λ)z(b).A general theorem is obtained establishing the existence of eigenvalues for both self-adjoint and nonself-adjoint boundary problems.This result is then simplified …