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Existence of
eigenvalues for second-order differential systems
Stephen Tefteller |
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Vol. 86 (1980), No. 2, 601–610
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Abstract |
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The paper is concerned with establishing the existence of eigenvalues for the second order differential system y′ = k(x,λ)z, z′ = g(x,λ)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 for nonself-adjoint problems, extending the previous work of H. J. Ettlinger and E. Kamke. |
Mathematical Subject Classification 2000
Primary: 34B05
Secondary: 34C20
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Milestones
Received: 23 November 1976
Revised: 13 July 1978
Published: 1 February 1980
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Authors |
| Stephen Tefteller | |
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