期刊文献+

测度链上三阶强超线性和强次线性动力方程振动性

Oscillation of third-order strongly super-linear and strongly sub-linear dynamic equations in measure chain
下载PDF
导出
摘要 采用积分法研究了测度链上的三阶强超线性和强次线性动力方程(r(axΔ)Δ)Δ(t)+f(t,xσ(t))=0,t≥t0的振动性,建立了一些新的振动准则。 Oscillation of third-order strong super-linear and strong sub-linear dynamic equation(r(axΔ)Δ)Δ(t)+f(t,xσ(t))=0,t≥t0.in measure chain is studied by using the integration method.Some new oscillation criteria are established.
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2010年第5期622-624,629,共4页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金资助项目(60604004) 河北省自然科学基金数学研究专项资助项目(07M005)
关键词 测度链 动力方程 强超线性 强次线性 振动性 measure chain dynamic equation strong superlinear strong sublinear oscillation
  • 相关文献

参考文献6

  • 1BOHNER M, PETERSON A. Dynamic equations on time scales: an introduction with applications[ M]. Boston: Birkhauser, 2001.
  • 2SAID R G, RAVI P A, MARTIN B, et al. Oscillation of second - order strongly superlinear and strongly sublinear dynamic equations[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(8) : 3463 -3471.
  • 3RAVI P A. Defferenee equations and inequalities [ M ]. New York:Marcel Dekker, Inc, 2000:20 -32.
  • 4张炳根.测度链上微分方程的进展[J].中国海洋大学学报(自然科学版),2004,34(5):907-912. 被引量:32
  • 5ZHANG B G, ZHU Shan - liang. Oscillation of second order nonlinear delay dynamic equations on time scales [ J ]. Computers Mathematics with Applications,2005,49 : 599 - 609.
  • 6BOHNER M, CASTILLO J E. Mimetic methods on measure chains[ J]. Comput Math Appl, 2001,42:705 -710.

二级参考文献37

  • 1Hilger S.Analysis on measure chains_a unified approach to continuous and discrete calculus [J].Results Math,1990,18:18-56.
  • 2Kaymakcalan B,Lakshmikantham V,Sivasundaram S.Dynamic Systems on Measure Chains [M].Boston:Kluwer Academic Publishers,1996.
  • 3Martin Bohner,Allan Peterson.Dynamic Equations on Time Scales,An Introduction with Applications [M].Boston:Birkhauser,2001.
  • 4Agarwal R P,Bohner M,O'Regan D,et al.Dynamic equations on time scales:a survey [J].J Comput Appl Math,2002,141 (1-2):1-26.
  • 5Bohner M,Guseinov G,Peterson A.Introduction to the Time Scales Calculus,Advances in Dynamic Equations on Time Scales,1-15 [M].Boston M A:Birkhanser,2003.
  • 6Agarwal R P,Bohner M.Basic calculus on time scales and some of its applications [J].Results Math,1999,35:3-22.
  • 7Kaymakalan B,Lawrence B A.Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales.Nonlinear Analysis [J].Real World Appl,2003,2:245-259.
  • 8Zhang B G,Zhu shanliang.Oscillation of second order nonlinear delay dynamic equations on time scales [J].Compnters Math.Applic.to a appear.
  • 9Erbe L,Hilger S.Sturmian theory on measure chains [J].Differential Equations Dynam.Systems,1993,1:223-246.
  • 10Erbe L H,Peterson A.Green functions and comparison theorems for differential equations on measure chains [J].Dynamics Contin Discrete Impuls Systems,1999,6:121-137.

共引文献31

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