scholarly journals On extensions of holomorphic functions satisfying a polynomial growth condition on algebraic varieties in ${\bf C}^n$

1974 ◽  
Vol 24 (4) ◽  
pp. 157-165 ◽  
Author(s):  
Jean Erik Björk
Keyword(s):  
Growth Condition ◽  
Polynomial Growth ◽  
Holomorphic Functions ◽  
Algebraic Varieties ◽  
Polynomial Growth Condition

scholarly journals On a Third-Order Three-Point Boundary Value Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
A. Guezane-Lakoud ◽  
N. Hamidane ◽  
R. Khaldi
Keyword(s):  
Boundary Value Problem ◽  
Growth Condition ◽  
Nontrivial Solution ◽  
Polynomial Growth ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
Nonlinear Alternative ◽  
Generalized Polynomial ◽  
Polynomial Growth Condition

We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results.

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