scholarly journals Study of Ulam Hyers stability of integrodifferential equations with nonlocal condition in Banach spaces

2020 ◽  
Keyword(s):  
Banach Spaces ◽  
Nonlocal Condition ◽  
Integrodifferential Equations

On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces

2014 ◽  
Vol 20 (2) ◽  
Author(s):  
S. D. Kendre ◽  
V. V. Kharat
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Integral Inequality ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Nonlocal Condition ◽  
Integrodifferential Equations ◽  
Uniqueness Of Solutions

AbstractIn the present paper we investigate the existence and uniqueness of solutions of nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces. The technique used in our analysis is based on fixed point theorems and Pachpatte's integral inequality.

scholarly journals Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces

1991 ◽  
Vol 4 (1) ◽  
pp. 47-69 ◽  
Author(s):  
Dajun Guo
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theory ◽  
Index Theory ◽  
Point Theory ◽  
Second Order ◽  
Integrodifferential Equations ◽  
Third Order ◽  
Nonnegative Solutions ◽  
Fixed Point Index Theory

In this paper, we combine the fixed point theory, fixed point index theory and cone theory to investigate the nonnegative solutions of two-point BVP for nonlinear second order integrodifferential equations in Banach spaces. As application, we get some results for the third order case. Finally, we give several examples for both infinite and finite systems of ordinary nonlinear integrodifferential equations.

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