Discontinuous initial value problems for functional differential–algebraic equations of mixed type

Journal of Differential Equations ◽

10.1016/j.jde.2012.06.012 ◽

2012 ◽

Vol 253 (7) ◽

pp. 1959-2024 ◽

Author(s):

H. dʼAlbis ◽

E. Augeraud-Véron ◽

H.J. Hupkes

Keyword(s):

Initial Value Problems ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Initial Value ◽

Equations Of Mixed Type ◽

Functional Differential

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Well-posedness of initial value problems for functional differential and algebraic equations of mixed type

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2011.30.737 ◽

2011 ◽

Vol 30 (3) ◽

pp. 737-765 ◽

Author(s):

Hermen Jan Hupkes ◽

◽

Emmanuelle Augeraud-Véron ◽

Keyword(s):

Initial Value Problems ◽

Well Posedness ◽

Algebraic Equations ◽

Initial Value ◽

Equations Of Mixed Type ◽

Functional Differential

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Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.07.103 ◽

2007 ◽

Vol 330 (2) ◽

pp. 1139-1151 ◽

Author(s):

Hua Su ◽

Lishan Liu ◽

Xiaoyan Zhang ◽

Yonghong Wu

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Global Solutions ◽

Second Order ◽

Initial Value ◽

Equations Of Mixed Type

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Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2005.09.004 ◽

2006 ◽

Vol 64 (11) ◽

pp. 2562-2574 ◽

Author(s):

Xinguang Zhang ◽

Lishan Liu

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Equations Of Mixed Type

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On initial value problems for ordinary differential-algebraic equations

ACM SIGSAM Bulletin ◽

10.1145/297049.570091 ◽

1998 ◽

Vol 32 (2) ◽

pp. 61

Author(s):

F. Leon Pritchard ◽

William Y. Sit

Keyword(s):

Initial Value Problems ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

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A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00366-9 ◽

2002 ◽

Vol 275 (1) ◽

pp. 369-385 ◽

Author(s):

Li Shan Liu ◽

Congxin Wu ◽

Fei Guo

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Unique Solution ◽

Initial Value Problems ◽

Initial Value ◽

First Order ◽

Equations Of Mixed Type

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On initial value problems in differential-algebraic equations and their numerical treatment

Computing ◽

10.1007/bf02240144 ◽

1985 ◽

Vol 35 (1) ◽

pp. 13-37 ◽

Author(s):

Roswitha März

Keyword(s):

Initial Value Problems ◽

Differential Algebraic Equations ◽

Numerical Treatment ◽

Algebraic Equations ◽

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On Initial Value Problems for Ordinary Differential-Algebraic Equations

Gröbner Bases in Symbolic Analysis ◽

10.1515/9783110922752.283 ◽

2007 ◽

pp. 283-340 ◽

Author(s):

F. Leon Pritchard ◽

William Y. Sit

Keyword(s):

Initial Value Problems ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

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Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2003.1130 ◽

2003 ◽

Vol 459 (2032) ◽

pp. 797-815 ◽

Author(s):

J. R. Cash

Keyword(s):

Numerical Methods ◽

Initial Value Problems ◽

Review Paper ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Initial Value ◽

Stiff Initial Value Problems

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Absolutely continuous global solutions of the initial value problem for neutral functional differential equations of mixed type

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/bf02844656 ◽

1981 ◽

Vol 30 (3) ◽

pp. 435-452 ◽

Author(s):

V. G. Angelov ◽

D. D. Bainov

Keyword(s):

Differential Equations ◽

Initial Value Problem ◽

Functional Differential Equations ◽

Global Solutions ◽

Initial Value ◽

Neutral Functional Differential Equations ◽

Absolutely Continuous ◽

Equations Of Mixed Type ◽

Functional Differential

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Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2005.02.028 ◽

2005 ◽

Vol 61 (8) ◽

pp. 1363-1382 ◽

Author(s):

Fei Guo ◽

Lishan Liu ◽

Yonghong Wu ◽

Peg-Foo Siew

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Global Solutions ◽

Second Order ◽

Initial Value ◽

Equations Of Mixed Type

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