Some Remarks on Some Second-order
Hyperbolic Differential Equations |
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Authors: | Email author" target="_blank">Toka?DiaganaEmail author |
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Institution: | (1) Department of Mathematics, Howard University, 2441 6th Street, N.W. Wasington D.C. 20059, USA |
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Abstract: | We are concerned with the almost automorphic solutions to the second-order
hyperbolic differential equations of type ü(s) + 2B ù(s) + Au(s) = f(s) (*),
where A, B are densely defined closed linear operators acting in a Hilbert space
H, and f : R |—> H is a vector-valued almost automorphic function. Using
invariant subspaces, it will be shown that under appropriate assumptions, every
solution to (*) is almost automorphic. |
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Keywords: | |
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