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On S-asymptotically omega-periodic functions on Banach spaces and applications
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
This paper is devoted to the study of the class of continuous and bounded functions f : [0, infinity] -> X for which exists omega > 0 such that lim(t ->infinity) (f (t + omega) - f (t)) = 0 (in the sequel called S-asymptotically ...
On S-asymptotically omega-periodic functions and applications
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2012)
Let (X, parallel to . parallel to) be a Banach space and omega is an element of R. A bounded function u is an element of C([0, infinity); X) is called S-asymptotically omega-periodic if lim(t ->infinity)[u(t + omega) - ...
A note on S-asymptotically periodic functions
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a ...
Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space
(2011)
We establish the existence of bounded, almost periodic solutions and asymptotically almost periodic solutions for functional difference equations with infinite delay on abstract phase space. An application to Volterra ...
Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
The paper establishes the existence and uniqueness of asymptotically almost automorphic mild solution to an abstract partial neutral integro-differential equation with unbounded delay. An example is given to illustrate our ...