Existence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methods |
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| Authors: | Qiongfen Zhang Kai Chen |
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| Institution: | 1. College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, PR China
2. Department of Information Engineering, Guilin College of Aerospace Technology, Guilin, Guangxi, 541004, PR China
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| Abstract: | By applying Symmetric Mountain Pass Theorem in critical point theory, the existence of infinitely many homoclinic solutions is obtained for the following aperiodic system $$\frac{d}{dt}(A(t)\dot{u}(t))-B(t)u(t)+\nabla W(t,u(t))=0,$$ where t???, u??? N , A,B:???? N×N and W:?×? N ??? are not periodic in t. |
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