scholarly journals Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness

2012 ◽  
Vol 05 (03) ◽  
pp. 195-205 ◽  
Author(s):  
M. Mallika Arjunan ◽  
V. Kavitha ◽  
S. Selvi
Keyword(s):  
Differential Equations ◽  
Nonlocal Conditions ◽  
Impulsive Differential Equations ◽  
Existence Results ◽  
Measures Of Noncompactness

scholarly journals Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet Spaces

2020 ◽  
Vol 7 (1) ◽  
pp. 272-280
Author(s):  
Mamadou Abdoul Diop ◽  
Kora Hafiz Bete ◽  
Reine Kakpo ◽  
Carlos Ogouyandjou
Keyword(s):  
Differential Equations ◽  
Resolvent Operator ◽  
Mild Solutions ◽  
Linear Part ◽  
Nonlocal Conditions ◽  
Existence Results ◽  
Fréchet Spaces ◽  
Local Conditions ◽  
State Dependent ◽  
Darbo Fixed Point Theorem

AbstractIn this work, we present existence of mild solutions for partial integro-differential equations with state-dependent nonlocal local conditions. We assume that the linear part has a resolvent operator in the sense given by Grimmer. The existence of mild solutions is proved by means of Kuratowski’s measure of non-compactness and a generalized Darbo fixed point theorem in Fréchet space. Finally, an example is given for demonstration.

scholarly journals Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum

2010 ◽  
Vol 2010 ◽  
pp. 1-15
Author(s):  
Piao-Piao Shi ◽  
Wen-Xia Wang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Solution Method ◽  
Boundary Value ◽  
Impulsive Differential Equations ◽  
Existence Results ◽  
Second Order ◽  
Comparison Result ◽  
Upper Solution ◽  
Lower And Upper Solution

We investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.

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 Existence results for φ-Laplacian impulsive differential equations with periodic conditions

2019 ◽  
Vol 4 (6) ◽  
pp. 1610-1633
Author(s):  
Johnny Henderson ◽  
◽  
Abdelghani Ouahab ◽  
Samia Yousfie ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Existence Results
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