On some singular hyperbolic evolution equations in Hilbert spaces

Author(s):  
M. Povoas
2020 ◽  
Vol 102 (1) ◽  
pp. 287-318
Author(s):  
Piermarco Cannarsa ◽  
Giuseppe Da Prato ◽  
Hélène Frankowska

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Li Xi-liang ◽  
Han Yu-liang

This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the existence, uniqueness, and asymptotical stability results of square-mean almost automorphic mild solutions to such stochastic equations are established. As an application, square-mean almost automorphic solution to a concrete nonautonomous integro-differential stochastic evolution equation is analyzed to illustrate our abstract results.


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