刘锡平, 贾梅, 相秀芬. 一类具复杂偏差变元的中立型迭代微分方程[J]. 信阳师范学院学报(自然科学版), 2004, 17(2): 148-151.
引用本文: 刘锡平, 贾梅, 相秀芬. 一类具复杂偏差变元的中立型迭代微分方程[J]. 信阳师范学院学报(自然科学版), 2004, 17(2): 148-151.
LIU Xi-ping, JIA Mei, XIANG Xiu-fen. A class of neutral functional differential-iterative equations with complex deviating argument[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(2): 148-151.
Citation: LIU Xi-ping, JIA Mei, XIANG Xiu-fen. A class of neutral functional differential-iterative equations with complex deviating argument[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(2): 148-151.

一类具复杂偏差变元的中立型迭代微分方程

A class of neutral functional differential-iterative equations with complex deviating argument

  • 摘要: 研究了一类在未知函数的导数中含有复杂偏差变元的新型迭代泛函微分方程x′(x(t))+λx′(t)=ax(t)+bx(x(t))满足一定初始条件的解的存在性及其性态,讨论了λ,a,b为确定常数时的解的情况.

     

    Abstract: It is discussed that the existence and behavior of solutions to a type of functional differential-iterative equations x′(x(t))+λx′(t)=ax(t)+bx(x(t)) with complex deviation argument in the derivative,when the equation satisfies initial condition x(ξ)=η.General solution of the equations when the coefficients λ,a,b are special values is given.

     

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