Existence of solutions for nonlinear operator equations

Yucheng Bu; Yujun Dong

doi:10.3934/dcds.2019180

Article Contents

2019, Volume 39, Issue 8: 4429-4441. Doi: 10.3934/dcds.2019180

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Existence of solutions for nonlinear operator equations

Yucheng Bu^1,2, and
Yujun Dong^1, ,

1.
School of Mathematical Science, Nanjing Normal University, Nanjing 210023, China
2.
Danyang Normal School, Zhenjiang College, Zhenjiang 212300, China

^* Corresponding author: Yujun Dong at yjdong@njnu.edu.cn
^* Corresponding author: Yujun Dong at yjdong@njnu.edu.cn

Received: June 30, 2018

Published: May 2019

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Abstract

We investigate solutions for nonlinear operator equations and obtain some abstract existence results by linking methods. Some well-known theorems about periodic solutions for second-order Hamiltonian systems by M. Schechter are special cases of these results.

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Mathematics Subject Classification: Primary: 47J05, 49J35; Secondary: 35B38, 58E30.

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References

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