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Solvability of boundary value problem at resonance for third-order functional differential equations

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This paper is devoted to the study of boundary value problem of third-order functional differential equations. We obtain some existence results for the problem at resonance under the condition that the nonlinear terms is bounded or generally unbounded. In this paper we mainly use the topological degree theory.

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Authors and Affiliations

  1. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, Hebei Province, 05003, People’s Republic of China

    Pinghua Yang

  2. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, People’s Republic of China

    Zengji Du

  3. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Weigao Ge

Authors
  1. Pinghua Yang
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  2. Zengji Du
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  3. Weigao Ge
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Correspondence to Zengji Du.

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Yang, P., Du, Z. & Ge, W. Solvability of boundary value problem at resonance for third-order functional differential equations. Proc Math Sci 118, 307–318 (2008). https://doi.org/10.1007/s12044-008-0023-7

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  • DOI: https://doi.org/10.1007/s12044-008-0023-7

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