scholarly journals Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces

2009 ◽  
Vol 52 (1) ◽  
pp. 113-137 ◽  
Author(s):  
Eduardo Hernández M. ◽  
Hernán R. Henríquez
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Nonlocal Conditions ◽  
Existence Results ◽  
Second Order ◽  
Second Order Differential Equations

scholarly journals Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Meili Li ◽  
Chunhai Kou
Keyword(s):  
Differential Equations ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Fractional Power ◽  
Existence Results ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Functional Differential ◽  
Fractional Power Of Operators

The existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.

scholarly journals An Existence Result for Second-Order Impulsive Differential Equations with Nonlocal Conditions

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Meili Li ◽  
Haiqiang Liu
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Existence Result ◽  
Existence Of Solutions ◽  
Nonlocal Conditions ◽  
Impulsive Differential Equations ◽  
Second Order

The Leray-Schauder alternative is used to investigate the existence of solutions for second-order impulsive differential equations with nonlocal conditions in Banach spaces. The results improve some recent results.

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