Bounded solutions to some classes of nonautonomous higher-order differential equations
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- Diagana, T. Afr. Mat. (2013) 24: 33. doi:10.1007/s13370-011-0036-8
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In this paper we study and obtain under some reasonable assumptions the existence of bounded and pseudo-almost automorphic mild solutions to some classes of nonautonomous higher-order abstract differential equations on an infinite dimensional separable Hilbert space. To illustrate our abstract results, we discuss the existence of bounded and pseudo almost automorphic mild solutions to Sine–Gordon type boundary value problems.