scholarly journals Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Nigar Mahar Aslanova
Keyword(s):  
Differential Equation ◽  
Trace Formula ◽  
Second Order ◽  
Eigenvalue Distribution ◽  
Operator Differential Equation ◽  
Order Operator ◽  
Asymptotic Eigenvalue ◽  
Asymptotic Eigenvalue Distribution

scholarly journals On the Stepanov-almost periodic solution of a second-order operator differential equation

1975 ◽  
Vol 19 (3) ◽  
pp. 261-263 ◽  
Author(s):  
Aribindi Satyanarayan Rao
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Periodic Solution ◽  
Almost Periodic Solution ◽  
Second Order ◽  
Almost Periodicity ◽  
Operator Differential Equation ◽  
Almost Periodic ◽  
Order Operator ◽  
Image Position

Suppose X is a Banach space and J is the interval −∞<t<∞. For 1 ≦ p<∞, a function is said to be Stepanov-bounded or Sp-bounded on J if(for the definitions of almost periodicity and Sp-almost periodicity, see Amerio-Prouse (1, pp. 3 and 77).

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