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Stability and instability regions of second-order equations with periodic point interactions on time scales

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Abstract

This paper studies the stability and instability regions of second-order equations with periodic point interaction on time scales. By the Floquet theory and the inequalities among eigenvalues of second-order equations with coupled boundary conditions, our main results are obtained.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, P.R. China

    Chao Zhang & Shurong Sun

Authors
  1. Chao Zhang
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  2. Shurong Sun
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Correspondence to Chao Zhang.

Additional information

This research was supported by the NNSF of China (Grant 11071143 and 11101241), the NNSF of Shandong Province (Grant ZR2009AL003, ZR2010AL016, and ZR2011AL007), the Scientific Research and Development Project of Shandong Provincial Education Department (J11LA01), and the NSF of University of Jinan (XKY0918).

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Zhang, C., Sun, S. Stability and instability regions of second-order equations with periodic point interactions on time scales. J. Appl. Math. Comput. 41, 351–365 (2013). https://doi.org/10.1007/s12190-012-0612-6

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  • DOI: https://doi.org/10.1007/s12190-012-0612-6

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