On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case

2012 ◽  
Vol 14 (3) ◽  
pp. 445-460 ◽  
Author(s):  
S. M. Chuiko ◽  
A. S. Chuiko
Keyword(s):  
Approximate Solution ◽  
Least Squares ◽  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Critical Case ◽  
Least Squares Method ◽  
Boundary Value ◽  
Periodic Boundary Value Problems

scholarly journals Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chatthai Thaiprayoon ◽  
Decha Samana ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Jump Conditions ◽  
Comparison Result ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems ◽  
Minimal And Maximal Solutions

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions. An example is also given to illustrate our results.

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