Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605460949 | ||
| 003 | CHVBK | ||
| 005 | 20210128100241.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-3097-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3097-z | ||
| 245 | 0 | 0 | |a Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces |h [Elektronische Daten] |c [Qi Dong, Gang Li] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Measure of noncompactness |2 nationallicence | |
| 690 | 7 | |a equicontinuity |2 nationallicence | |
| 690 | 7 | |a differential equation |2 nationallicence | |
| 690 | 7 | |a nonlocal condition |2 nationallicence | |
| 690 | 7 | |a C 0-semigroup |2 nationallicence | |
| 690 | 7 | |a mild solution |2 nationallicence | |
| 700 | 1 | |a Dong |D Qi |u School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China |4 aut | |
| 700 | 1 | |a Li |D Gang |u School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 140-150 |x 1439-8516 |q 31:1<140 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3097-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3097-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dong |D Qi |u School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Li |D Gang |u School of Mathematical Sciences, Yangzhou University, 225002, Yangzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 140-150 |x 1439-8516 |q 31:1<140 |1 2015 |2 31 |o 10114 | ||