Abstract
For n first order differential equations in one variable involving n functions Yr, r = 1, ...,n, we shall consider the initial value problem
with
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Bibliography for Section 17.1
[ENGE87], 10.1; [FRIE79]; [GEAR71/1], 1.1, 3; [HAIR87] 1; [LUTH87], 1,2; [STET76], 9; [STOE91], 7; [WERN79], §1.
Bibliography for Section 17.2
[ENGE87], 10.2; [GEAR71/1], 1.2; [HAIR87] 1; [HALL76], 1; [HENR68], 0.3; [LAPI71], 1; [LUTH87], 3; [STET73], 1; [STOE91], 7.2; [STUM82], 11.1, 12.1; [WERN86], chap.1, 2.
Bibliography for Section 17.3.4
[DORM80]; [DORM8!]; [FEHL60]; [FEHL66]; [FEHL69]; [FEHL70]; [FEHL75]; [HAIR87] 2.6; [HULL72]; [LUTH87]; [VERN78].
Bibliography for Section 17.3.5
[GLAS66]; [GRIG77]; [HAIR87] 2.7; [SOMM67].
Bibliography for Section 17.3
[BJÖR74], 8.1-8.3; [COLL66], II, §2; [CONT80], 6; [ENGE87], 10.3, 11.1; [GEAR71/1]' 2; [GRIG77], vol.1; [HAIR87] 2; [HENR68], part I; [LAPI71] 2,3; [LUTH87], 4.1-4.3; [NOBL65], II, 10.2-10.5; [RALS79] vol.1, 9; [RICE77], p.257-276; [SCHW89], 9.1; [STET73], 3; [STUM82], 11; [WERN79], IV, §6,7; [ZURM65], §25, 27.
Bibliography for Section 17.4
[CARN69], 6.8-6.12; [COLL73], II, 4.2; [CONT80], 6.6-6.8, 6.11; [ENGE87], 10.4; [GEAR71/1], 7-10; [HAIR87] 3; [HENR64], 14.6-14.7; [HENR68], 5,6; [LAPI71], 4.7; [LUTH87], 4.4; [McCA67], 9.2; [RALS67] vol.1, 8.; [SCHW89], 9.2; [STET73], 4; [STOE91], 7.2.6 - 13; [STUM82], 12; [WERN79], IV, §§8-10.
Bibliography for Section 17.5
[GEAR71/1], 6; [GRIG77], 5,2; [HAIR87] 2.9; [HALL76], 6; [LAPI71], 5; [STET73], 6.3; [STOE91], 7.2.14.
Bibliography for Section 17.6
[ATKI78], 6.8; [HAIR87]; [HALL76], 2; [JELT76]; [JELT78]; [LINI77]; [LUTH87], 12; [RUTI52]; [STOE91], 7.2; [WERN79], §9-11.
Bibliography for Section 17.7
[AHLB67]; [GEAR71/1]; [GEAR71/2]; [GEAR71/3]; [GEAR74]; [GRIG77] vol.2, 3.3; [HAIR91]; [HALL76] , Part 2; [HULL72]; [HULL75]; [LAPI71], 6; [LIND77]; [LINI77]; [LUTH87], 13; [SHAM75]; [WERN86], chap.5.
Bibliography for Section 17.8
[ENRI76]; [GEAR71/1], 12; [HAIR87]; [HAIR91]; [HULL72]; [HULL75]; [KAPS81]; [KROG66]; [KROG68]; [WERN86], 4.8, 5.5.
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© 1996 Springer-Verlag Berlin Heidelberg
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Engeln-Müllges, G., Uhlig, F. (1996). Initial Value Problems for Ordinary Differential Equations. In: Numerical Algorithms with C. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61074-5_17
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DOI: https://doi.org/10.1007/978-3-642-61074-5_17
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