Sign-changing Solutions to the nonlinear Sturm-Liouville boundary value problem

JI Hong-wei

doi:10.13718/j.cnki.xsxb.2018.05.004

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 5

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JI Hong-wei. Sign-changing Solutions to the nonlinear Sturm-Liouville boundary value problem[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(5): 17-22. doi: 10.13718/j.cnki.xsxb.2018.05.004

Citation:

JI Hong-wei. Sign-changing Solutions to the nonlinear Sturm-Liouville boundary value problem[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(5): 17-22. doi: 10.13718/j.cnki.xsxb.2018.05.004

Sign-changing Solutions to the nonlinear Sturm-Liouville boundary value problem

JI Hong-wei

Department of mathematics and physics, Nantong Teachers College, Nantong Jiangshu 226010, China

More Information

Received Date: 20/03/2017

Abstract

In this paper, consider the existence of sign-changing solutions for the nonlinear Sturm-Liouville boundary value problemLφ=fφ, 0 ≤ x ≤ 1αφ(0)-βφ'(0)=0, γφ(1)+δφ'(1)=0Besides, the existence of sign-changing solutions and the more general case of the Hammerstein integral equation are studied, and the general results are obtained, and the previous work is improved.
- Sturm-LiouvilleTwo point boundary value problem,
- sign-changing solutions,
- Hammerstein integral equation

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