Existence and regularity of solutions for neutral partial integro-differential equations with nonlocal conditions

2020 ◽  
Vol 22 (2) ◽  
Author(s):  
Jianbo Zhu ◽  
Xianlong Fu
Keyword(s):  
Differential Equations ◽  
Nonlocal Conditions ◽  
Regularity Of Solutions

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 Impulsive integro-differential equations with nonlocal conditions in Banach spaces

2017 ◽  
Vol 171 (3) ◽  
pp. 304-315 ◽  
Author(s):  
Mouhamadou Alpha Diallo ◽  
Khalil Ezzinbi ◽  
Abdoulaye Séne
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Nonlocal Conditions
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