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Boundary value problems of discrete generalized Emden-Fowler equation

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Abstract

By using the critical point theory, some sufficient conditions for the existence of the solutions to the boundary value problems of a discrete generalized Emden-Fowler equation are obtained. In a special case, a sharp condition is obtained for the existence of the boundary value problems of the above equation. For a linear case, by the discrete variational theory, a necessary and sufficient condition for the existence, uniqueness and multiplicity of the solutions is also established.

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Authors and Affiliations

  1. College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China

    Yu Jianshe & Guo Zhiming

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  1. Yu Jianshe
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  2. Guo Zhiming
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Correspondence to Yu Jianshe.

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Yu, J., Guo, Z. Boundary value problems of discrete generalized Emden-Fowler equation. SCI CHINA SER A 49, 1303–1314 (2006). https://doi.org/10.1007/s11425-006-1999-z

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  • DOI: https://doi.org/10.1007/s11425-006-1999-z

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