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Existence of solutions of a family of nonlinear boundary value problems in L 2-spaces

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Abstract

By using the perturbation results of sums of ranges of accretive mappings of Calvert and Gupta (1978), the abstract results on the existence of solutions of a family of nonlinear boundary value problems in L 2(Ω) are studied. The equation discussed in this paper and the methods used here are extension and complement to the corresponding results of Wei Li and He Zhen’s previous papers. Especially, some new techniques are used in this paper.

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References

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hebei University of Economics and Business, 050061, Shijiazhuang, China

    Wei Li & Zhou Haiyun

  2. Inst. of Appl. Math. and Mech., Ordnance Engineering College, 050003, Shijiazhuang, China

    Wei Li & Zhou Haiyun

Authors
  1. Wei Li
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  2. Zhou Haiyun
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Supported by the National Natural Science Foundation of China (10471033).

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Li, W., Haiyun, Z. Existence of solutions of a family of nonlinear boundary value problems in L 2-spaces. Appl. Math. Chin. Univ. 20, 175–182 (2005). https://doi.org/10.1007/s11766-005-0050-4

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  • DOI: https://doi.org/10.1007/s11766-005-0050-4

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