Almost automorphic solutions of second-order equations involving time scales with boundary conditions

Choquehuanca, Mario; Mesquita, Jaqueline; Pereira, Aldo

doi:10.1090/proc/16211

Almost automorphic solutions of second-order equations involving time scales with boundary conditions
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by Mario Choquehuanca, Jaqueline G. Mesquita and Aldo Pereira;

Proc. Amer. Math. Soc. 151 (2023), 1055-1070

DOI: https://doi.org/10.1090/proc/16211

Published electronically: December 15, 2022

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Abstract:

In this article, we investigate the existence and uniqueness of solutions of linear and semilinear second–order equations involving time scales. To obtain such results, we make use of exponential dichotomy and fixed point results. Also, we present some examples and applications to illustrate our main results.

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