On the spectrum of a linear differential operator of second order in a Hilbert space of vector functions with values in an abstract Hilbert space. II

1970 ◽  
pp. 65-73
Author(s):  
F. Z Ziatdinov
Keyword(s):  
Hilbert Space ◽  
Differential Operator ◽  
Linear Differential Operator ◽  
Second Order ◽  
Linear Differential

scholarly journals Ulam Stability of a Second Linear Differential Operator with Nonconstant Coefficients

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1451
Author(s):  
Liviu Cădariu ◽  
Dorian Popa ◽  
Ioan Raşa
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Differential Operator ◽  
Global Solution ◽  
Linear Differential Operator ◽  
Second Order ◽  
Order Differential Operator ◽  
Ulam Stability ◽  
Riccati Differential Equation ◽  
Linear Differential

In this paper, we obtain a result on Ulam stability for a second order differential operator acting on a Banach space. The result is connected to the existence of a global solution for a Riccati differential equation and some appropriate conditions on the coefficients of the operator.

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