Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities

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作者
Xiumei Xing
Lingling Wang
Shaoyong Lai
机构
[1] Yili Normal University,The School of Math. and Statis.
[2] Southwestern University of Finance and Economics,The School of Math.
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关键词
Periodic solution; Singular potential; Existence; Multiplicity; 34C11; 34C28;
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摘要
We investigate a second-order periodic system with singular potential and resonance. Utilizing the main integral method and fixed point theorems, we establish the existence and multiplicity of periodic solutions with respect to time under certain assumptions on the unbounded or oscillatory term.
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