References
G. Freiling. Boundary value problems with multiple roots of the characteristic equation. Results in Mathematics 11, 44–62 (1987).
G. Freiling. General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation. Proc. Royal. Soc. Edingburgh 108A, 45–56 (1988).
G. Freiling. Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter; Part I. Results in Mathematics, to appear.
G. Feiling. Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen. Math. Z. 171, 113–131 (1980).
M.A. Naimark. Linear differential operators, Part I. Ungar, New York, (1967).
F.J. Kaufmann. Abgeleitete Birkhoff-Reihen bei Randeigenwertproblemen zu N(y) = λP(y) mit λ-abhängigen Randbedingungen. Mitteilungen Math. Sem. Giessen, Heft 190, 107p. (1989).
A.S. Pechentsov.On basic properties of the eigenfunctions of a boundary problem in the case of a multiple root of the characteristic polynomial. Diff. Uravn. 24,703–705 (1988) (in russian).
H.L. Turrittin. Asymptotic solutions of certain ordinary differential equations associated with multiple roots of the characteristic equation. Am. J. of Math. 58, 364–376 (1936).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Freiling, G. Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter; Part II. Results. Math. 17, 241–255 (1990). https://doi.org/10.1007/BF03322461
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322461