Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 257, Issue -, Pages 252-263Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.12.068
Keywords
Positive solution; First eigenvalue; Spectral analysis; Signed measure; Singularity; Fixed point index
Categories
Funding
- National Natural Science Foundation of China [11371221]
- Natural Science Foundation of Shandong Province of China [ZR2014AM009]
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In this paper, by using the spectral analysis of the relevant linear operator and Gelfand's formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established. (C) 2014 Elsevier Inc. All rights reserved.
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