scholarly journals A CLASS OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITION AT RESONANCE

2020 ◽  
Author(s):  
Bouteraa NOUREDDİNE
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Integral Condition ◽  
Third Order ◽  
At Resonance

A note on a third-order multi-point boundary value problem at resonance

2011 ◽  
Vol 284 (13) ◽  
pp. 1690-1700 ◽  
Author(s):  
Xiaojie Lin ◽  
Zengji Du ◽  
Fanchao Meng
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
At Resonance ◽  
Problem At Resonance

scholarly journals Existence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type

2021 ◽  
Vol 26 (5) ◽  
pp. 914-927
Author(s):  
Sergey Smirnov
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Unique Solution ◽  
Point Theorem ◽  
Boundary Value ◽  
Nonlocal Conditions ◽  
Integral Condition ◽  
Banach Fixed Point Theorem ◽  
Third Order

The existence of a unique solution for a third-order boundary value problem with integral condition is proved in several ways. The main tools in the proofs are the Banach fixed point theorem and the Rus’s fixed point theorem. To compare the applicability of the obtained results, some examples are considered.

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