Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control

2012 ◽  
Vol 75 (8) ◽  
pp. 3598-3617 ◽  
Author(s):  
Daewook Kim ◽  
Sangil Kim ◽  
Il Hyo Jung
Keyword(s):  
Feedback Control ◽  
Type Equation ◽  
Boundary Feedback Control ◽  
Kirchhoff Type ◽  
Boundary Feedback ◽  
Kirchhoff Type Equation ◽  
Axially Moving

scholarly journals Solutions of Nonlocal -Laplacian Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Mustafa Avci ◽  
Rabil Ayazoglu (Mashiyev)
Keyword(s):  
Laplace Operator ◽  
Variational Approach ◽  
Nonlocal Problem ◽  
Type Equation ◽  
Multiplicity Of Solutions ◽  
Kirchhoff Type ◽  
Existence And Multiplicity ◽  
Kirchhoff Type Equation ◽  
Laplacian Equations

In view of variational approach we discuss a nonlocal problem, that is, a Kirchhoff-type equation involving -Laplace operator. Establishing some suitable conditions, we prove the existence and multiplicity of solutions.

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