Sidorov, A. M. Spectral pairs of linear problems for functional-differential equations. (English. Russian original) Zbl 1264.34128 J. Math. Sci., New York 71, No. 6, 2796-2798 (1994); translation from Issled. Prikl. Mat. 17, 114-120 (1990). From the text: We derive conditions when the eigenvalues and eigenfunctions of linear problems for functional-differential equations depend analytically on a parameter. Deviating arguments require refining the notion of solution. We use the approach based on the notion of \(\varphi\)-solution. MSC: 34K05 General theory of functional-differential equations 34L05 General spectral theory of ordinary differential operators × Cite Format Result Cite Review PDF Full Text: DOI References: [1] V. S. Mokeichev, Differential Equation with Deviating Arguments [in Russian], Kazan’ (1985). [2] F. Rellich, ”Störungstheorie der Spektralzerlegung, IV,” Mathem. Annal.,117, No. 3, 336–384 (1940). · Zbl 0023.13503 [3] A. M. Sidorov, On Analyticity of Perturbations of Double Eigenvalues of Linear Operators [in Russian], Kazan’ (1987), Unpublished manuscript, VINITI 4.6.87, No. 4007-V87. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.