On monotone iterative method for initial value problems of nonlinear second-order integro-differential equations in Banach spaces

Applied Mathematics and Mechanics ◽

10.1007/bf02459031 ◽

2000 ◽

Vol 21 (5) ◽

pp. 509-518 ◽

Author(s):

Chen Fangqi ◽

Chen Yushu

Keyword(s):

Differential Equations ◽

Iterative Method ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

Monotone Iterative Method ◽

Initial Value ◽

Monotone Iterative

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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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Initial Value Problems for Nonlinear Second Order Impulsive Integro-differential Equations in Banach Spaces

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0186 ◽

1996 ◽

Vol 200 (1) ◽

pp. 1-13 ◽

Author(s):

Dajun Guo

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

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Existence and uniqueness of solutions for initial value problems of second order ordinary differential equations in Banach spaces

Applied Mathematics and Mechanics ◽

10.1007/bf02463855 ◽

1999 ◽

Vol 20 (3) ◽

pp. 290-299

Author(s):

Hong Shihuang ◽

Hu Shigeng

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Banach Spaces ◽

Existence And Uniqueness ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Uniqueness Of Solutions

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Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces

Applications of Mathematics ◽

10.1007/s10492-014-0044-8 ◽

2014 ◽

Vol 59 (1) ◽

pp. 99-120 ◽

Author(s):

Pengyu Chen ◽

Yongxiang Li

Keyword(s):

Differential Equations ◽

Iterative Method ◽

Banach Spaces ◽

Nonlocal Conditions ◽

Monotone Iterative Method ◽

Monotone Iterative

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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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The Solutions of Initial Value Problems for Second-order Integro-differential Equations with Delayed Arguments in Banach Spaces

Turkish Journal of Analysis and Number Theory ◽

10.12691/tjant-3-6-3 ◽

2016 ◽

Vol 3 (6) ◽

pp. 154-159

Author(s):

Tingting Guan

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Delayed Arguments

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Monotone Iterative Method for Initial Value Problem to Fractional Differential Equations of Variable-Order of Variable-Order

Dynamic Systems and Applications ◽

10.46719/dsa20213027 ◽

2021 ◽

Vol 30 (2) ◽

Author(s):

Xuping Zhang ◽

Yongwei Jia ◽

Jiahui An

Keyword(s):

Differential Equations ◽

Iterative Method ◽

Fractional Differential Equations ◽

Initial Value Problem ◽

Variable Order ◽

Monotone Iterative Method ◽

Initial Value ◽

Monotone Iterative ◽

Fractional Differential

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

Nonlinear Analysis ◽

10.1016/j.na.2006.01.002 ◽

2007 ◽

Vol 66 (5) ◽

pp. 1025-1036 ◽

Author(s):

Hua Su ◽

Lishan Liu ◽

Xiaoyan Zhang

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Equations Of Mixed Type

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Initial Value Problems for Nonlinear Second Order Impulsive Integro-Differential Equations in Banach Spaces

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181074285 ◽

1999 ◽

Vol 11 (3) ◽

pp. 405-419

Author(s):

Jinqing Zhang

Keyword(s):

Differential Equations ◽

Banach Spaces ◽

Initial Value Problems ◽

Second Order ◽

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