JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 99-103.doi: 10.6040/j.issn.1671-9352.4.2015.003

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Existence of weak solutions for a second order Dirichlet boundary value problem on time scales

JIANG Jing1, GAO Qing-ling1, ZHANG Ke-yu1,2   

  1. 1. Department of Mathematics, Qilu Normal University, Jinan 250200, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2015-01-21 Online:2016-06-20 Published:2016-06-15

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Abstract: The existence of weak solutions for a second order Dirichlet boundary value problem on time scales is studied. Under some conditions involving the first eigenvalues of relevant operator, utilize the variational method and critical point theory to establish our main results.

Key words: weak solution, variational method, time scales, boundary value problem, critical point theory

CLC Number: 

  • O174
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