scholarly journals EXISTENCE OF SOLUTIONS IN THE α-NORM FOR NEUTRAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

2014 ◽  
Vol 27 (1) ◽  
pp. 89-97 ◽  
Author(s):  
Sung Kyu Choi ◽  
Hyun Ho Jang ◽  
Namjip Koo ◽  
Chanmi Yun
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Nonlocal Conditions ◽  
Neutral Differential Equations

scholarly journals EXISTENCE OF SOLUTIONS FOR IMPULSIVE NEUTRAL FUNCTIONAL INTEGRO DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

2017 ◽  
Vol 4 (3) ◽  
pp. 1-6
Author(s):  
Valliammal N ◽  
Ravichandran C
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Mild Solution ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Nonlocal Conditions ◽  
Fractional Power ◽  
Integrodifferential Equations ◽  
Fractional Power Of Operators

In this paper, by using fractional power of operators and Sadovskii’s fixed point theorem, we study the existence of mild solution for a certain class of impulsive neutral functional integrodifferential equations with nonlocal conditions. The results we obtained are a generalization and continuation of the recent resultson this issue.

A class of fractional impulsive functional differential equations with nonlocal conditions

2016 ◽  
Vol 66 (4) ◽  
Author(s):  
Yiliang Liu ◽  
Jiangfeng Han
Keyword(s):  
Differential Equations ◽  
Comparison Theorem ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Monotone Iterative Technique ◽  
Extremal Solutions ◽  
Iterative Technique ◽  
Monotone Iterative ◽  
Functional Differential

AbstractIn this paper, we deal with the existence of solutions for the fractional impulsive functional differential equations with nonlocal conditions. Then we build a new comparison theorem and obtain the existence of extremal solutions and quasi-solutions by use of the monotone iterative technique and the method of lower and upper solutions.

Existence of Solutions for Abstract Non-Autonomous Neutral Differential Equations

2012 ◽  
Vol 55 (4) ◽  
pp. 736-751 ◽  
Author(s):  
Eduardo Hernández ◽  
Donal O’Regan
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Classical Solutions ◽  
Neutral Functional Differential Equations ◽  
Neutral Differential Equations ◽  
Functional Differential

AbstractIn this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

Existence of solutions for a class of abstract differential equations with nonlocal conditions

2011 ◽  
Vol 74 (7) ◽  
pp. 2624-2634 ◽  
Author(s):  
Eduardo Hernández ◽  
Jair Silvério dos Santos ◽  
Katia A.G. Azevedo
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Nonlocal Conditions ◽  
Abstract Differential Equations

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.

scholarly journals Existence of solutions for a class of abstract neutral differential equations

2017 ◽  
Vol 37 (5) ◽  
pp. 2455-2482 ◽  
Author(s):  
Hernán R. Henríquez ◽  
◽  
Claudio Cuevas ◽  
Juan C. Pozo ◽  
Herme Soto ◽  
...  
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Neutral Differential Equations
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