Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions.
Positive almost automorphic solutions for some nonlinear delay integral equations.
Exponential convergence of solutions of SICNNs with mixed delays.
Existence and uniqueness of periodic solutions for a class of nonlinear equations with -Laplacian-like operators.
Uniform boundedness of solutions for a class of Liénard equations.
Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces.
Almost automorphic solutions to abstract fractional differential equations.
Asymptotically almost automorphic solutions of differential equations with piecewise constant argument
This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do not assume...
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