Asymptotic Integration for a System of Certain Nonlinear Functional Differential Equations

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概要

• 論文の詳細を見る

• The author discusses the asymptotic estimate of solutions of the nonlinear functional differential equation x'(t)=[A+V(t)+R(t)]x(t)+B(t)x(g(t))+f(t, T(t, x)) with 0<g(t)<t and g(0)=0,where x(t) is an n-dimensional column vector and A is a constant square matrix with simple characteristic roots, V(t)→0 as t→∞ and is absolutely continuous on some interval [t_0,∞), the elements of R(t) are integrable, B(t) is an n×n matrix with complex bounded entries and f is a nonlinear functional perturbation term satisfying a certain condition concerning the asymptotic behavior of it, and our results are general enough to include perturbation terms with retarded and advanced arguments. Thus, we can consider the system with two kinds of deviating arguments. We give several examples to illustrate the significance of our results.

• 東海大学の論文
• 1986-03-01

著者

• TAKAHASHI Nobuhiro

  Department of Life Sciences, Graduate School of Arts and Sciences, The University of Tokyo

• Takahashi N

  Department Of Electronics School Of Engineering Tokai University

• Takahashi Nobuhiro

  Department Of Bioengineering United Graduate School Of Agriculture Tokyo University Of Agriculture A

• Takahashi Nobuhiro

  Department Of Applied Biological Science Tokyo University Of Agriculture And Technology

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