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  • 标题:Periodic Solutions of Second Order Nonlinear Difference Equations with Singular <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-3.294pt;width:12.7875px;" id="M1" height="21.4625" version="1.1" viewBox="0 0 12.7875 21.4625" width="12.7875"> <g transform="matrix(.022,-0,0,-.022,.062,15.55)"><path id="x1D719" d="M542 242q0 -106 -80 -176.5t-192 -72.5l-55 -251l-6 -3q-18 7 -28 38t1 91l23 124q-85 16 -133.5 72.5t-48.5 137.5q0 95 62.5 159.5t166.5 97.5l14 -31q-77 -32 -115 -82.5t-38 -128.5q0 -63 31.5 -107t74.5 -59l125 597l56 43l16 -10l-40 -168q-9 -40 3 -45&#xA;q77 -33 120 -85.5t43 -140.5zM469 232q0 67 -37 115t-77 62l-76 -370q89 -4 139.5 52.5t50.5 140.5z"></path></g> </svg>-Laplacian Operator
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  • 作者:Ruyun Ma ; Yanqiong Lu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/637242
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We obtain some existence results of solutions for discrete periodic boundary value problems with singular -Laplacian operator , , , and by using the upper and lower solutions method and Brouwer degree theory, where is a constant, , , , and is a parameter. We also give some examples with singular nonlinearities to illustrate our main results.
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