A method for solving nonlinear spectral problems for a class of systems of differential algebraic equations

Computational Mathematics and Mathematical Physics

Volumn 47, Issue 5, 2007, Pages 791-796

  Abramov, A A ^a   Ul'yanova, V I ^a   Yukhno, L F ^b  

^a DORODNICYN COMPUTING CENTER   (Russian Federation)

^b INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

Author keywords

Differential algebraic equation; Eigenvalue calculation; Nonlinear spectral problem

Indexed keywords

EID: 34249673807     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S0965542507050065     Document Type: Article

References (14)

1. E. Griepentrog and R. März, Differential-Algebraic Equations and Their Numerical Treatment (Teubner, Leipzig, 1986).
2. Yu. E. Boyarintsev, Methods for Solving Continuous and Discrete Problems for Singular Systems of Equations (Nauka, Novosibirsk, 1996) [in Russian].
3. K. Balla and R. März, "Transfer of Boundary Conditions for DAE's of Index 1," SIAM J. Numer. Anal. 33 (6), 2318-2332(1996).
4. K. Balla, "Boundary Conditions and Their Transfer for Differential-Algebraic Equations of Index 1," Comput. Math. Appl. 31 (10), 1-5 (1996).
5. K. Balla and R. März, "A Unified Approach to Linear Differential Algebraic Equations and Their Adjoints," Z. Analys. und Anwendungen 21, 783-802 (2002).
6. A. A. Abramov, K. Balla, V. I. Ul'yanova, and L. F. Yukhno, "A Nonlinear Self-Adjoint Spectral Problem for Differential-Algebraic Equations," Differ. Uravn. 39, 867-878 (2003)
7. [Differ. Equations 39, 913-925 (2003)].
8. A. A. Abramov, V. I. Ul'yanova, and L. F. Yukhno, "A Method for Solving Boundary Value Problems and Spectral Problems for Linear Differential-Algebraic Systems," Differ. Uravn. 42, 874-882 (2006)
9. [Differ. Equations 42, 932-940 (2006)].
10. A. A. Abramov, V. I. Ul'yanova, and L. F. Yukhno, "The Argument Principle in a Spectral Problem for Systems of Ordinary Differential Equations with Singularities," Zh. Vychisl. Mat. Mat. Fiz. 38, 61-67 (1998)
11. [Comput. Math. Math. Phys. 38, 57-63 (1998)].
12. A. A. Abramov, V. I. Ul'yanova, and L. F. Yukhno, "A Method for Solving the Nonlinear Nonself-Adjoint Eigenvalue Problem for Certain Systems of Linear Ordinary Differential Equations," Zh. Vychisl. Mat. Mat. Fiz. 44, 104-110 (2004)
13. [Comput. Math. Math. Phys. 44, 93-99 (2004)].
14. S.A. Dzhangirova, "On Multipoint Problems for Systems of Linear Ordinary Differential Equations," Zh. Vychisl. Mat. Mat. Fiz. 27, 1375-1380 (1987).