REFERENCES
Abramov, A.A., Zh. Vychislit. Mat. Mat. Fiz., 2001, vol. 41, no. 1, pp. 29–38.
Balla, K. and März, R., Zeitschrift für Analysis und ihre Anwendungen, 2002, vol. 21, no. 3, pp. 783–802.
Abramov, A.A., Balla, K., Ul'yanova, V.I., and Yukhno, L.F., Zh. Vychislit. Mat. Mat. Fiz., 2002, vol. 42, no. 7, pp. 996–1012.
Abramov, A.A., Balla, K., Ul'yanova, V.I., and Yukhno, L.F., Zh. Vychislit. Mat. Mat. Fiz., 2003, vol. 43, no. 3, pp. 410–421.
März, R., The Index of Linear Differential Algebraic Equations with Properly Stated Leading Terms, Preprint Humboldt-Univ., Berlin, 2001 no. 2001–7.
Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow, 1953.
Brenan, K.E., Campbell, S.L., and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Elsevier Science Publishing, 1989.
Boyarintsev, Yu.E., Metody resheniya nepreryvnykh i diskretnykh zadach dlya singulyarnykh sistem uravnenii (Methods for Solving Continuous and Discrete Problems for Singular Systems of Equations), Novosibirsk, 1996.
Yukhno, L.F., Zh. Vychislit. Mat. Mat. Fiz., 1987, vol. 27, no. 9, pp. 1320–1326.
Moszynski, K., Algoritmy, 1964, vol. 11, no. 3, pp. 25–43.
Griepentrog, E. and März, R., Differential-Algebraic Equations and Their Numerical Treatment, Leipzig, 1986.
Balla, K., Computers and Mathematics with Applications, 1996, vol. 31, no. 10, pp. 1–5.
Balla, K. and März, R., SIAM J. Numer. Anal., 1996, vol. 33, no. 6, pp. 2318–2332.
März, R., Acta Numerica, 1992, pp. 141–198.
Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Approximations), Moscow, 1977.
Abramov, A.A., Zh. Vychislit. Mat. Mat. Fiz., 1961, vol. 1, no. 3, pp. 542–545.
Petry, T., SIAM J. Numer. Anal., 1998, vol. 35, no. 1, pp. 201–216.
Faddeev, D.K. and Faddeeva, V.N., Vychislitel'nye metody lineinoi algebry (Numerical Methods of Linear Algebra), Moscow, 1960.
Kiełbasiński, A. and Schwetlik, H., Numerische lineare Algebra, VEB Deutscher Verlag der Wissenschaften, 1988. DIFFERENTIAL EQUATIONS Vol. 39 No. 7 2003
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abramov, A.A., Balla, K., Ul'yanova, V.I. et al. A Nonlinear Self-Adjoint Spectral Problem for Differential-Algebraic Equations. Differential Equations 39, 913–925 (2003). https://doi.org/10.1023/B:DIEQ.0000009187.44920.3e
Issue Date:
DOI: https://doi.org/10.1023/B:DIEQ.0000009187.44920.3e