Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient

1971 ◽  
Vol 5 (1) ◽  
pp. 9-18 ◽  
Author(s):  
M. L. Gorbachuk
Keyword(s):  
Differential Equation ◽  
Unbounded Operator ◽  
Order Differential Equation ◽  
Second Order ◽  
Operator Coefficient ◽  
Boundary Problems ◽  
Second Order Differential Equation ◽  
Unbounded Operator Coefficient

scholarly journals An inverse problem for a second-order differential equation in a Banach space

2004 ◽  
Vol 2004 (12) ◽  
pp. 997-1005 ◽  
Author(s):  
Y. Eidelman
Keyword(s):  
Differential Equation ◽  
Unbounded Operator ◽  
Operator Function ◽  
Order Differential Equation ◽  
Sufficient Conditions ◽  
Second Order ◽  
Cosine Operator Function ◽  
Second Order Differential Equation ◽  
The Right ◽  
Necessary And Sufficient

We consider the problem of determining the unknown term in the right-hand side of a second-order differential equation with unbounded operator generating a cosine operator function from the overspecified boundary data. We obtain necessary and sufficient conditions of the unique solvability of this problem in terms of location of the spectrum of the unbounded operator and properties of its resolvent.

A mechanical method for the solution of second-order linear differential equations

1931 ◽  
Vol 27 (4) ◽  
pp. 546-552 ◽  
Author(s):  
E. C. Bullard ◽  
P. B. Moon
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Second Order ◽  
Linear Differential Equations ◽  
Mechanical Method ◽  
Order Linear ◽  
Second Order Differential Equation ◽  
Linear Differential

A mechanical method of integrating a second-order differential equation, with any boundary conditions, is described and its applications are discussed.

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