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Existence for implicit differential equations with nonmonotone perturbations

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Abstract

This paper is devoted to the existence of solutions for a class of implicit Cauchy problems. The main tools in our study will be a convergent approximation procedure and the theory of pseudomonotone perturbations of maximal monotone mappings.

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References

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Authors and Affiliations

  1. Department of Mathematics, Changsha University of Electric Power, 410077, Changsha, People’s Republic of China

    Liu Zhenhai

Authors
  1. Liu Zhenhai
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Corresponding author

Correspondence to Liu Zhenhai.

Additional information

This research is supported by the National Natural Science Foundation of China (No. 10171008).

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Zhenhai, L. Existence for implicit differential equations with nonmonotone perturbations. Isr. J. Math. 129, 363–372 (2002). https://doi.org/10.1007/BF02773170

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  • DOI: https://doi.org/10.1007/BF02773170

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