Positive solutions and eigenvalue regions of two-delay singular systems with a twin parameter |
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Authors: | Dingyong Bai Yuantong Xu |
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Affiliation: | 1. Department of Mathematics, Zhongshan University, Guangzhou 510275, PR China;2. Department of Mathematics, Shaoguan University, Shaoguan 512005, PR China |
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Abstract: | The paper is concerned with a two-delay singular differential system with a twin parameter. Applying fixed-point index theory, we show the relationship between the asymptotic behaviors of nonlinearities (at zero and infinity) and the open regions (eigenvalue regions) of parameters, which are correlated with delays, such that the system has zero, one and two positive solution(s). |
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Keywords: | 34B15 34K10 |
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