Boundary value problems for systems of functional differential equations
Applications of Mathematics (2002)
- Volume: 47, Issue: 5, page 427-458
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topJankowski, Tadeusz. "Boundary value problems for systems of functional differential equations." Applications of Mathematics 47.5 (2002): 427-458. <http://eudml.org/doc/33124>.
@article{Jankowski2002,
abstract = {Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented.},
author = {Jankowski, Tadeusz},
journal = {Applications of Mathematics},
keywords = {boundary value problems; functional differential equations; difference method; consistency; convergence; methods of arbitrary order; boundary value problem; functional differential equation; difference method; consistency; convergence; methods of arbitrary order},
language = {eng},
number = {5},
pages = {427-458},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundary value problems for systems of functional differential equations},
url = {http://eudml.org/doc/33124},
volume = {47},
year = {2002},
}
TY - JOUR
AU - Jankowski, Tadeusz
TI - Boundary value problems for systems of functional differential equations
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 5
SP - 427
EP - 458
AB - Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented.
LA - eng
KW - boundary value problems; functional differential equations; difference method; consistency; convergence; methods of arbitrary order; boundary value problem; functional differential equation; difference method; consistency; convergence; methods of arbitrary order
UR - http://eudml.org/doc/33124
ER -
References
top- Difference Equations and Inequalities, Theory, Methods, and Applications, Marcel Dekker, Inc., New York, 1992. (1992) Zbl0925.39001MR1155840
- Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice Hall, New Jersey, 1988. (1988) MR1000177
- On a method of two-sided approximations for a boundary value problem, Izv. Acad. Nauk. Turkm. Ser. Fiz.-Mat. Tekhn. Khim. Geol. Nauk, No. 1 (1985), 8–10. (Russian) (1985) Zbl0649.34024MR0798362
- Nonlinear Two Point Boundary Value Problems, Academic Press, New York and London, 1968. (1968) MR0230967
- The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments, Appl. Math. 34 (1989), 1–17. (1989) MR0982339
- A Runge-Kutta-Nyström method for delay differential equations, In: Numerical Boundary Value ODEs, U. M. Ascher, R. D. Russell (eds.), Birkhäuser, Boston, Basel, Stuttgard, 1985, pp. 271–285. (1985) Zbl0566.65066MR0832900
- 10.1007/BF02243775, Computing 32 (1984), 307–318. (1984) MR0748933DOI10.1007/BF02243775
- An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York, London, 1974. (1974) MR0445048
- 10.1090/S0025-5718-1971-0303739-1, Math. Comp. 25 (1971), 729–732. (1971) MR0303739DOI10.1090/S0025-5718-1971-0303739-1
- 10.1007/BF01399080, Numer. Math. 27 (1976), 1–10. (1976) MR0455409DOI10.1007/BF01399080
- 10.1007/BF01396496, Numer. Math. 33 (1979), 69–75. (1979) MR0545743DOI10.1007/BF01396496
- Computation and Theory in Ordinary Differential Equations, W. H. Freeman and Company, San Francisco, 1970. (1970) MR0267765
- 10.1090/S0002-9904-1968-12114-7, Bull. Amer. Math. Soc. 74 (1968), 997–1000. (1968) MR0228785DOI10.1090/S0002-9904-1968-12114-7
- 10.1007/BF01817758, Aequationes Math. 4 (1970), 176–190. (1970) MR0262632DOI10.1007/BF01817758
- 10.1007/BF02252383, Computing 20 (1978), 351–361. (1978) MR0619909DOI10.1007/BF02252383
- 10.2478/dema-1989-0106, Demonstratio Math. 22 (1989), 51–65. (1989) Zbl0708.65060MR1024200DOI10.2478/dema-1989-0106
- Difference methods for boundary value problems of deviated differential equations with discontinuities, Zeszyty Nauk. Politech. Gdańsk. Mat. 15 (1991), 55–66. (1991) Zbl0744.34066
- Theory of Difference Equations, Academic Press, Inc., Toronto, 1988. (1988) MR0939611
- 10.1016/0022-247X(71)90041-2, J. Math. Anal. Appl. 36 (1971), 588–597. (1971) MR0298166DOI10.1016/0022-247X(71)90041-2
- Solutions of a boundary value problem for a second-order ordinary differential equations, Latv. Mat. Ezhegodnik 31 (1988), 87–90. (Russian) (1988) MR0942118
- Boundary value problems of quasilinear ordinary differential systems on a finite interval, Math. Japon. 34 (1989), 447–458. (1989) MR1003933
- Introduction to Numerical Analysis, Springer-Verlag, New York-Heidelberg-Berlin, 1993. (1993) MR1295246
- Necessary and sufficient conditions for the solvability of a two-point boundary value problem, Boundary Value Problems for Ordinary Differential Equations, Latv. Gos. Univ. Riga, 1987, pp. 53–68. (Russian) (1987) MR0901975
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.