On the Solvability of a Class of Second Order Degenerate Operators

2020 ◽  
pp. 207-226
Author(s):  
Serena Federico ◽  
Alberto Parmeggiani
Keyword(s):  
Second Order ◽  
Order Degenerate ◽  
Degenerate Operators

Periodic Solutions of Second Order Degenerate Differential Equations with Delay in Banach Spaces

2018 ◽  
Vol 61 (4) ◽  
pp. 717-737 ◽  
Author(s):  
Shangquan Bu ◽  
Gang Cai
Keyword(s):  
Sufficient Conditions ◽  
Complex Banach Space ◽  
Second Order ◽  
Linear Operators ◽  
Bounded Linear ◽  
Order Degenerate ◽  
Degenerate Differential Equations ◽  
Necessary And Sufficient ◽  
Equations With Delay ◽  
Closed Linear Operators

AbstractWe give necessary and sufficient conditions of the Lp-well-posedness (resp. -wellposedness) for the second order degenerate differential equation with finite delayswith periodic boundary conditions (Mu)(0) = (Mu)(2π), (Mu)′ (0) = (Mu)′ (2π), where A, B, and M are closed linear operators on a complex Banach space X satisfying D(A) ∩ D(B) ⊂ D(M), F and G are bounded linear operators from into X.

Second-Order Degenerate Identification Differential Problems

2009 ◽  
Vol 141 (1) ◽  
pp. 13-36 ◽  
Author(s):  
M. Al Horani ◽  
A. Favini ◽  
A. Lorenzi
Keyword(s):  
Second Order ◽  
Order Degenerate
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