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具阻尼项非线性梁方程的整体解 被引量：1

The Global Solutions for the Nonlinear Beam Equation with Damping
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摘要 本文在考虑强阻尼效应的情形下,建立了一类轴向载荷作用下的Kirchhoff-type梁方程。研究一类具有强阻尼Kirchhoff-type梁方程的初边值问题整体解的性态。以Sobolev空间的性质为工具,利用Galerkin方法,证明了在非线性边界条件下该方程整体解的存在唯一性。 By considering the strong damping effect, this paper established a kind of Kirchhoff-type beam equations subjected to axial force. The existence and uniqueness of global solutions for the equations under nonlinear boundary conditions are proved by means of the Galerkin method in the Sobolev space.
作者 柴玉珍 张建文 李庆士
机构地区 太原理工大学数学系
出处 《工程数学学报》 CSCD 北大核心 2008年第1期62-66,共5页 Chinese Journal of Engineering Mathematics
基金 山西省自然科学基金(2006011005) 国家自然科学基金(107721231)
关键词 非线性边界:Krichoff-type粱方程 强阻尼 GALERKIN方法 整体解 nonlinear boundary Kirchhoff-type beam equations strong damping Galerkin method global solutions
分类号 O175.27 [理学—基础数学]
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参考文献8

二级参考文献22

  • 1[1]Medeiros L A. On a new class of nonlinear wave equations[J]. J. Math. Anal. Appl. 1979,69:252～262.
  • 2[2]De Brito E H. Decay estimates for the generalized damped extensible string and beam equations[J].Nonlinear Anal. Theory Methods Appl. 1984,8(12):1489～1496.
  • 3[3]Biler. Remark on the decay for damped string and beam equations[J]. Nonlinear Anal. Theory MethodsAppl. 1986,10(9) :839～842.
  • 4[4]Ghidaglia J M, Temam R. Attractors for damped nonlienar hyperbolic equations[J]. J. Math. pures etappl., 1987,66:273～319.
  • 5[5]Lions J L. Quelques méthodes de résolution des problémes aux limites non linéaires[M]. Paris: DunodGauthiers Villars, 1968.
  • 6[6]Temam R. Infinite dimensional dynamical systems in mechnics and physics[M]. New York: SpringerVerlag, 1988.
  • 7[1]Medeiros L A. On a new class of nonlinear wave equations[J]. J Math Anal Appl,1979;69:252-262
  • 8[2]Brito E H. Decay estimates for the generalized damped extensible string and beam equations[J]. Nonlinear Anal Theory Methods Appl,No.8:1984;12:1489-1496
  • 9[3]Biler. Remark on the decay for damped string and beam equations[J]. Nonlinear Anal Theory Methods Appl No.10:1986;9:839-842
  • 10[4]Ghidaglia J M, Temam R. Attractors for damped nonlinear hyperbolic equations[J]. J Math pures et appl,1987;66:273-319

共引文献17

同被引文献11

  • 1刘炳妹,刘立山.二阶方程组解的存在唯一性[J].工程数学学报,2007,24(4):757-760. 被引量：13
  • 2郭大钧.非线性分析中的序方法[M].济南:山东科技出版社,2000.
  • 3Ma R Y, Tisdell C C. Positive solution of singular sublinear fourth-order boundary value problem[J]. Applicable Analysis, 2005, 84(12): 1199-1220.
  • 4Yao Q L. Positive solution for eigenvalue problems of fourth-order elastic beam equations[J}. Applied Mathematics Letters, 2004, 17:237-243.
  • 5Zhang X G, Liu L S. Positive solutions of fourth-order multi-point boundary value problems with bending term[J]. Applied Mathematics and Computation, 2007, 194(2): 321-332.
  • 6Bai Z B, Huang B J, Ge W G. The iterative solutions for some fourth-order p-Laplace equation boundary value problems[J]. Applied Mathematics Letters, 2006, 19(1): 8-14.
  • 7Yao Q L. Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends[J]. Nonlinear Analysis: TMA, 2008, 69:2683 - 2694.
  • 8Bo Y. Estimates of positive solutions to a boundary value problem for the beam equation[J]. Comm Math Anal, 2007, 2(1): 13-21.
  • 9Yuan C J, Jiang D Q, O'Regan Donal. Existence and uniqueness of solutions for singular fourth-order nonlinear singular continuous and discrete boundary value problems[J]. Applied Mathematics and Computation, 2008, 203:194-201.
  • 10Lin X N, Jiang D Q, Li X Y. Existence and uniqueness of solutions for singular (k, n - k) conjugate boundary value problems[J]. Computers and Mathematics with Applications, 2006, 52:375-382.

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工程数学学报
2008年 第1期

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