ALMOST PERIODIC SOLUTION TO A NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATION WITH DEVIATING ARGUM
1.
In this article, we prove sufficient conditions for the existence of
almost periodic solutions to a non-instantaneous impulsive differential equation
with deviating argument. The results are established with the help of fixed
point theorem. We also show that the solution is asymptotically stable. We
conclude the article with an example to illustrate the main results.
Weighted norm inequalities for one sided vector valued Hardy-Littlewood maximal function on one side
1.
In this article, we study the boundedness of one-sided Hardy-Littlewood maximal operator in vector-valued setting on one-sided weighted like Morrey space. We establish Fefferman-Stein’s weighted lemma for one-sided Hardy-Littlewood maximal operator considering the one-sided weighted Morrey like space eventhough the Fefferman-Stein’s weighted lemma is not true generally in Morrey space.
