Abramov, A. A.; Yukhno, L. F. A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions. (English. Russian original) Zbl 1364.34026 Comput. Math. Math. Phys. 56, No. 7, 1264-1268 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 7, 1294-1298 (2016). MSC: 34B09 34B16 34A30 34B40 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{L. F. Yukhno}, Comput. Math. Math. Phys. 56, No. 7, 1264--1268 (2016; Zbl 1364.34026); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 7, 1294--1298 (2016) Full Text: DOI
Abramov, A. A.; Yukhno, L. F. Associated functions of a nonlinear spectral problem for a system of ordinary differential equations. (English. Russian original) Zbl 1354.34137 Differ. Equ. 52, No. 7, 836-844 (2016); translation from Differ. Uravn. 52, No. 2, 878-886 (2016). MSC: 34L10 34A30 34B09 65L15 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{L. F. Yukhno}, Differ. Equ. 52, No. 7, 836--844 (2016; Zbl 1354.34137); translation from Differ. Uravn. 52, No. 2, 878--886 (2016) Full Text: DOI
Abramov, A. A.; Yukhno, L. F. Solving a system of linear ordinary differential equations with redundant conditions. (Russian, English) Zbl 1313.34038 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 4, 585- 590 (2014); translation in Comput. Math. Math. Phys. 54, No. 4, 598-603 (2014). MSC: 34A30 34B10 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{L. F. Yukhno}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 4, 585- 590 (2014; Zbl 1313.34038); translation in Comput. Math. Math. Phys. 54, No. 4, 598--603 (2014) Full Text: DOI
Abramov, A. A.; Yukhno, L. F. Nonlinear spectral problem for a Hamiltonian system of differential equations with redundant conditions. (English. Russian original) Zbl 1309.34017 Differ. Equ. 50, No. 7, 866-872 (2014); translation from Differ. Uravn. 50, No. 7, 877-883 (2014). MSC: 34B09 37J99 47E05 47B25 34B10 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{L. F. Yukhno}, Differ. Equ. 50, No. 7, 866--872 (2014; Zbl 1309.34017); translation from Differ. Uravn. 50, No. 7, 877--883 (2014) Full Text: DOI
Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F. A nonlocal problem for singular linear systems of ordinary differential equations. (Russian, English) Zbl 1249.34052 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1228-1235 (2011); translation in Comput. Math. Math. Phys. 51, No. 7, 1146-1152 (2011). MSC: 34B10 34A30 34B40 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1228--1235 (2011; Zbl 1249.34052); translation in Comput. Math. Math. Phys. 51, No. 7, 1146--1152 (2011) Full Text: DOI
Abramov, A. A. A modification of one method for solving nonlinear self-adjoint eigenvalue problems for Hamiltonian systems of ordinary differential equations. (Russian, English) Zbl 1224.34025 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 39-43 (2011); translation in Comput. Math. Math. Phys. 51, No. 1, 35-39 (2011). MSC: 34B07 34L15 34B09 65L15 PDFBibTeX XMLCite \textit{A. A. Abramov}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 39--43 (2011; Zbl 1224.34025); translation in Comput. Math. Math. Phys. 51, No. 1, 35--39 (2011) Full Text: DOI
Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F. On the general nonlinear self-adjoint spectral problem for differential-algebraic systems. (English. Russian original) Zbl 1176.65084 Differ. Equ. 45, No. 7, 966-972 (2009); translation from Differ. Uravn. 45, No. 7, 947-953 (2009). MSC: 65L15 65L80 34A09 34L16 34L30 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Differ. Equ. 45, No. 7, 966--972 (2009; Zbl 1176.65084); translation from Differ. Uravn. 45, No. 7, 947--953 (2009) Full Text: DOI
Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F. Multiparameter spectral problem for some weakly coupled systems of Hamiltonian equations. (English. Russian original) Zbl 1178.65090 Differ. Equ. 44, No. 7, 945-951 (2008); translation from Differ. Uravn. 44, No. 7, 918-923 (2008). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L15 34L16 37J05 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Differ. Equ. 44, No. 7, 945--951 (2008; Zbl 1178.65090); translation from Differ. Uravn. 44, No. 7, 918--923 (2008) Full Text: DOI
Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F. Nonlinear eigenvalue problem for second-order Hamiltonian systems. (Russian, English) Zbl 1164.34323 Zh. Vychisl. Mat. Mat. Fiz. 48, No. 6, 999-1002 (2008); translation in Comput. Math. Math. Phys. 48, No. 6, 942-945 (2008). MSC: 34B07 34A30 37J99 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Zh. Vychisl. Mat. Mat. Fiz. 48, No. 6, 999--1002 (2008; Zbl 1164.34323); translation in Comput. Math. Math. Phys. 48, No. 6, 942--945 (2008) Full Text: DOI
Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F. On certain properties of a nonlinear eigenvalue problem for Hamiltonian Systems of Ordinary Differential Equations. (Russian, English) Zbl 1210.34023 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 638-645 (2007); translation in Comput. Math. Math. Phys. 46, No. 4, 612-619 (2007). MSC: 34B07 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 638--645 (2007; Zbl 1210.34023); translation in Comput. Math. Math. Phys. 46, No. 4, 612--619 (2007) Full Text: DOI
Abramov, A. A. Numerical stability of a method for transferring boundary conditions. (Russian, English) Zbl 1210.34011 Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 401-406 (2006); translation in Comput. Math. Math. Phys. 46, No. 3, 382-387 (2006). MSC: 34A30 34B05 PDFBibTeX XMLCite \textit{A. A. Abramov}, Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 401--406 (2006; Zbl 1210.34011); translation in Comput. Math. Math. Phys. 46, No. 3, 382--387 (2006)
Abramov, A. A.; Aslanyan, A. A. On a singular boundary-value problem for linear Hamiltonian systems of ordinary differential equations. (English. Russian original) Zbl 0918.65058 Comput. Math. Math. Phys. 36, No. 8, 1017-1026 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 8, 45-56 (1996). Reviewer: O.Došlý (Brno) MSC: 65L10 34B05 37-XX PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{A. A. Aslanyan}, Comput. Math. Math. Phys. 36, No. 8, 1017--1026 (1996; Zbl 0918.65058); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 8, 45--56 (1996)
Abramov, A. A.; Aslanyan, A. A.; Balla, K. Comparison of solution of shooting equations under the transfer of boundary conditions at infinity for Hamilton linear systems. (English. Russian original) Zbl 1026.34500 Comput. Math. Math. Phys. 35, No. 12, 1453-1460 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 12, 1808-1818 (1995). MSC: 34A30 34A45 34C11 65L99 PDFBibTeX XMLCite \textit{A. A. Abramov} et al., Comput. Math. Math. Phys. 35, No. 12, 1453--1460 (1995; Zbl 1026.34500); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 12, 1808--1818 (1995)
Abramov, A. A.; Konyukhova, N. B. Admissible boundary conditions at infinity or in a singular point for systems of linear ordinary differential equations. (Russian) Zbl 0741.34005 Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 181-198 (1990). Reviewer: M.Dmitriev (Ashkhabad) MSC: 34B05 34A30 65J99 65L10 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{N. B. Konyukhova}, Banach Cent. Publ. None, 181--198 (1990; Zbl 0741.34005)
Abramov, A. A.; Konyukhova, N. B. Transfer of admissible boundary conditions from a singular point for systems of linear ordinary differential equations. (English) Zbl 0825.34012 Sov. J. Numer. Anal. Math. Model. 1, No. 4, 245-265 (1986). MSC: 34B05 34C05 PDFBibTeX XMLCite \textit{A. A. Abramov} and \textit{N. B. Konyukhova}, Sov. J. Numer. Anal. Math. Model. 1, No. 4, 245--265 (1986; Zbl 0825.34012)
Abramov, A. A.; Konyukhova, N. B. On admissible boundary conditions in a singular point of the type of a pole for systems of ordinary differential equations. (Russian) Zbl 0537.34026 Current problems of numerical and applied mathematics, Collect. Artic., Novosibirsk 1983, 28-33 (1983). Reviewer: Gh.Aniculăesei MSC: 34B99 34C05 34A30 PDFBibTeX XML
Abramov, A. A.; Birger, E. S.; Konyukhova, Nadyezhda B.; Ulyanova, Valentyina I. On methods of numerical solution of boundary value problems for systems of linear ordinary differential equations. (English) Zbl 0437.65064 Numerical methods, Keszthely 1977, Colloq. Math. Soc. Janos Bolyai 22, 33-67 (1980). MSC: 65L10 34B05 PDFBibTeX XML