期刊文献+

非线性三阶边值问题的正解 被引量:1

Positive Solution to Nonlinear Three Order Boundary Value
下载PDF
导出
摘要 利用不动点定理研究了一类三阶边值问题,u'''(t)=+a(t)f(u(t))=0,0<t<1,u(0)=0,u(1)-au(η)=b正解的存在性及不存在性。在适当的假设下,证明了当f为超线性时,此问题对于足够小的b有一个正解,对于足够大的b没有正解。当f为次线性时,此问题对于所有b>0有一个正解。
作者 何希萍
出处 《甘肃广播电视大学学报》 2013年第3期1-5,共5页 Journal of Gansu Radio & Television University
  • 相关文献

参考文献13

  • 1Agarwal R P, O'Regan D, Wong P J Y. Positive Solutions of Dierential ] Difference and Integral Equations [ M ]. Klu- wer Academic Publishers, Dordrecht, 1999. 被引量:1
  • 2Bernis F, Peleter L A. Two problems from draining flows involving third - order ordinary differential equation [ J ]. SIAM J. Math. Anal, 1996,27:515-527. 被引量:1
  • 3Troy WC. Solutions of third order differential equations rel- evant to draining and coating flows [ J ]. SIAM J Math Anal 1993, 24 : 155 - 171. 被引量:1
  • 4Yao Q, Feng Y. The existence of solution for a third - or- der two- point boundary value problem [ J ]. Appl Math Lett. 2002,15:227 -232. 被引量:1
  • 5Grossinbo M R, Minhos F M. Existence result for some third order separated boundary value problems [ J ]. Nonlin- ear Anal, 2001,47:2407 - 2418. 被引量:1
  • 6何希萍,孙红蕊.三阶非线性系统三点边值问题的正解(英文)[J].兰州大学学报(自然科学版),2010,46(4):84-88. 被引量:3
  • 7马如云著..非线性常微分方程非局部问题[M].北京:科学出版社,2004:233.
  • 8Anderson D, Davis JM. Multiple solutions and eigenvalues for third -order right focal boundary value problems[ J]. J Math Anal Appl 2002, 267 : 135 - 157. 被引量:1
  • 9Bai Z, Fei X. Existence of triple positive solutions for a third order generalized right focal problem [ J ]. Math Ine- qual Appl. 2006,9:437-444. 被引量:1
  • 10Graef J R, Yang B. Multiple positive solutions to a three point third order boundary value problem [ J ]. Discrete Contin. Dyn Syst , 2005, Supp: 1 - 8. 被引量:1

二级参考文献1

共引文献2

同被引文献10

  • 1Chen H.Positive solutions for the nonhomogeneous three-point boundary value problem of second-order differential equations[M].Math.Comput.Model.2007,45:844-852. 被引量:1
  • 2Krasnosel'skii M A.Positive Solutions of Operator Equations[M].Noordhoff,Groningen,1964. 被引量:1
  • 3Kilbas A A,Srivastava H M,Trujillo J J.Theory and Applications of Fractional Differential Equations,in:NorthHolland Mathematics studies,vol.204,Elsevier Science B.V.Amsterdam,2006. 被引量:1
  • 4Li Y N,Sun H R,Zhang Q G.Existence of solutions of a class of fractional boundary value problem with parameter[J].Electronic J.Differ.Equ.2013,141:1-12. 被引量:1
  • 5Sun H R,Zhang Q G.Existence of solution for a fractional boundary value problem via Mountain Pass method and iterative technique[J].Comput.Math.Appl.2012,64:3436-3443. 被引量:1
  • 6Zhang S.Existence of positive solution for some class of nonlinear fractional differential equations[J].J.Math.Anal.Appl.2003,278:136-148. 被引量:1
  • 7Hao X,Liu L,Wu Y.On positive solutions of an m-point nonhomogeneous singular boundary value problem[J].Nonlinear Anal.2010,73:2532-2540. 被引量:1
  • 8Wang C X,Sun H R.Positive solutions for a class of singular third-order three-point nonhomogeneous boundary value problem[J].Dynam.Systems Appl.2010,19:225-234. 被引量:1
  • 9Podlubny I.Fractional Differential Equations[M].Academic Press,San Diego,1999. 被引量:1
  • 10Agarwal R P,Benchohra M,Hamani S.A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions[J].Acta Appl.Math.2010,109:973-1033. 被引量:1

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部