scholarly journals Extremal Solutions and Strong Relaxation for Second Order Multivalued Boundary Value Problems

2005 ◽  
Vol 55 (4) ◽  
pp. 827-844 ◽  
Author(s):  
Leszek Gasinski ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Extremal Solutions ◽  
Strong Relaxation

scholarly journals On coupled first and second order boundary value problems in ordered Banach spaces

2010 ◽  
Vol 43 (3) ◽  
Author(s):  
Gerd Herzog ◽  
Roland Lemmert
Keyword(s):  
Boundary Value Problems ◽  
Banach Spaces ◽  
Boundary Value ◽  
Second Order ◽  
Extremal Solutions ◽  
Differential Inequalities ◽  
Intermediate Value Theorem ◽  
Intermediate Value ◽  
Ordered Banach Spaces

AbstractBy means of a result on coupled first and second order differential inequalities and an intermediate value theorem in ordered Banach spaces, we obtain the existence of extremal solutions of boundary value problems of the form

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