caa a22 4500 605460949 CHVBK 20210128100241.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10114-015-3097-z doi (NATIONALLICENCE)springer-10.1007/s10114-015-3097-z Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces [Elektronische Daten] [Qi Dong, Gang Li] This paper is concerned with the measure of noncompactness in the spaces of continuous functions and semilinear functional differential equations with nonlocal conditions in Banach spaces. The relationship between the Hausdorff measure of noncompactness of intersections and the modulus of equicontinuity is studied for some subsets related to the semigroup of linear operators in Banach spaces. The existence of mild solutions is obtained for a class of nonlocal semilinear functional differential equations without the assumption of compactness or equicontinuity on the associated semigroups of linear operators. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 Measure of noncompactness nationallicence equicontinuity nationallicence differential equation nationallicence nonlocal condition nationallicence C 0-semigroup nationallicence mild solution nationallicence Dong Qi School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China aut Li Gang School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 140-150 1439-8516 31:1<140 2015 31 10114 https://doi.org/10.1007/s10114-015-3097-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3097-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dong Qi School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China aut NATIONALLICENCE 700 1- Li Gang School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 140-150 1439-8516 31:1<140 2015 31 10114