References
Bauer, W.F.: Modified Sturm-Liouville Systems. Quart. appl. Math.11, 273–282 (1953)
Bôcher, M.: Lecons sur les méthodes de Sturm. Paris: Gauthier-Villars 1917
Churchill, R.V.: Expansions in series of non-orthogonal functions. Bull. Amer. math. Soc.48, 143–149 (1942)
Cohen, D.S.: An integral transform associated with boundary conditions containing an eigenvalue parameter. SIAM J. appl. Math.14, 1164–1175 (1966)
Courant, R.: Über die Anwendung der Variationsrechnung in der Theorie der Eigenschwingungen und über neue Klassen von Funktionalgleichungen. Acta math.49, 1–68 (1926)
Courant, R., Hilbert, D.: Methoden der mathematischen Physik, I. Berlin: Springer 1924
Evans, W.D.: A non-self-adjoint differential operator inL 2σ [a,b). Quart. J. Math. Oxford, II. Ser.21, 371–383 (1970)
Friedman, B.: Principles and techniques of applied mathematics. New York: John Wiley & Sons 1956
Glazman, J.M.: Direct methods of qualitative spectral analysis. Jerusalem: Israel Program for Scientific Translations 1965
Greco, D.: Su un problema ai limiti per un'equazione differenziale lineare ordinaria del secondo ordine. Giorn Mat. Battaglini, IV. Ser.,78, 216–237 (1949)
Greco, D.: Gli sviluppi in serie di autosoluzioni in un problema ai limiti relativo ad un equazione differentiale lineare del secondo ordine. Giorn. Mat. Battaglini, IV. Ser.,79, 86–120 (1949)
Hartman, P.: Ordinary differential equations. New York: John Wiely & Sons 1964
Hellwig, G.: Differentialoperatoren der mathematischen Physik. Berlin-Göttingen-Heidelberg: Springer 1964
Hille, E.: Note on the preceding paper by Mr. Peek. Annals of Math.30, 270–271 (1929)
Hölder, E.: Entwicklungssätze aus der Theorie der zweiten Variation. Acta math.70, 193–242 (1939)
Iglisch, R.: Über lineare Integralgleichungen mit vom Parameter abhängigem Kern. Math. Ann.117, 129–139 (1939)
Ince, E.L.: Ordinary differential equations. New York: Dover Publications, Inc., 1956
Jörgens, K.: Lineare Integraloperatoren. Stuttgart: Teubner 1970
Kamke, E.: Differentialgleichungen, I. Leipzig: Akademische Verlagsgesellschaft Geest & Portig K-G. 1969
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966
Kneser, A.: Belastete Integralgleichungen. Rend. Circ. mat. Palermo, II. Ser.37, 169–197 (1914)
Langer, R.E.: Fourier's series. The genesis and evolution of a theory. Amer. math. Monthly Suppl.54, 1–86 (1947)
Manià, B.: Autovalori di nuclei dipendenti dal parametro. Ann. Scuola norm. sup. Pisa, II. Ser.,8, 89–104 (1939)
Miranda, C.: Su di un problema al contorno relativo all'equazione del calore. Rend. Sem. mat. Univ. Padova8, 1–20 (1937)
Miranda, C.: Su di una classe di equazioni integrali il cui nucleo è funzione del parametro. Rend. Circ. mat. Palermo60, 286–304 (1936)
Morgan, G.W.: Some remarks on a class of eigenvalue problems with special boundary conditions. Quart. appl. Math.11, 157–165 (1953)
Morse, M.: The calculus of variation in the large. Amer. Math. Soc. Colloquium Publications, vol. 18, 1934
Neumark, M.A.: Lineare Differentialoperatoren. Berlin: Akademie-Verlag 1963
Odhnoff, J.: Operators generated by differential problems with eigenvalue parameter in equation and boundary condition. Meddel. Lunds Univ. mat. Sem.14, 1–80 (1959)
Peyerimhoff, A.: Gewöhnliche Differentialgleichungen, I und II. Frankfurt a. M.: Akademische Verlagsgesellschaft 1970
Reid, W.T.: Ordinary differential equations. New York: John Wiley & Sons, Inc., 1971
Sansone, G.: Equazioni differenziali nel campo reale, I. Bologna: Zanichelli 1956
Schäfke, F.W., Schneider, A.:S=hermitesche Rand-Eigenwertprobleme I, II, III. Math. Ann.162, 9–26 (1966);165, 236–260 (1966);177, 67–94 (1968)
Smirnov, W.J.: Lehrgang der höheren Mathematik, IV. Berlin: VEB Deutscher Verlag der Wissenschaften 1968
Tamarkin, J.D.: On Fredholm's integral equations whose kernels are analytic in a parameter. Ann. of Math. (2)28, 127–152 (1927)
Zecca, P.: Su un problema al contorno per l'equazione Δu+λu=0. Rend. Accad. Sci. fis. mat. Napoli, IV. Ser.33, 279–303 (1966)
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Walter, J. Regular eigenvalue problems with eigenvalue parameter in the boundary condition. Math Z 133, 301–312 (1973). https://doi.org/10.1007/BF01177870
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DOI: https://doi.org/10.1007/BF01177870