Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces
Qixiang Dong, School of Mathematical Science, Yangzhou University, Yangzhou, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 47. (2009), pp. 1-13.
Gang Li, School of Mathematical Science, Yangzhou University, Yangzhou, P. R. China
| Communicated by S. K. Ntouyas. | Received on 2009-04-12 Appeared on 2009-07-23 |
Abstract: This paper is concerned with semilinear differential equations with nonlocal conditions in Banach spaces. Using the tools involving the measure of noncompactness and fixed point theory, existence of mild solutions is obtained without the assumption of compactness or equicontinuity on the associated linear semigroup.
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