On the existence of solutions to a type of nonlinear differential-iterative equations

Weigao Ge; Cuizhe Li; Yuanhong Yu

doi:10.1142/S0252959900000248

On the existence of solutions to a type of nonlinear differential-iterative equations

Weigao Ge^*
, Cuizhe Li
, Yuanhong Yu

^*此作品的通讯作者

数学学院

Beijing Institute of Technology
CAS - Institute of Applied Mathematics

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x′(t) = g(x(t)) -h(x(x(i))) is discussed according to the behavior of the quasi-isoclinic curve C: x = h^-1(g(t)).

源语言	英语
页（从-至）	217-224
页数	8
期刊	Chinese Annals of Mathematics. Series B
卷	21
期	2
DOI	https://doi.org/10.1142/S0252959900000248
出版状态	已出版 - 2000

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10.1142/S0252959900000248

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链接到 Scopus 的出版物

引用此

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title = "On the existence of solutions to a type of nonlinear differential-iterative equations",

abstract = "Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x′(t) = g(x(t)) -h(x(x(i))) is discussed according to the behavior of the quasi-isoclinic curve C: x = h-1(g(t)).",

keywords = "Differential-iterative equation, Fixed point, Quasi-isoclinic curve",

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AU - Ge, Weigao

AU - Li, Cuizhe

AU - Yu, Yuanhong

PY - 2000

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N2 - Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x′(t) = g(x(t)) -h(x(x(i))) is discussed according to the behavior of the quasi-isoclinic curve C: x = h-1(g(t)).

AB - Under the assumption that h(z) is strictly monotone the existence of solutions to a type of nonlinear differential-iterative equations in the form of x′(t) = g(x(t)) -h(x(x(i))) is discussed according to the behavior of the quasi-isoclinic curve C: x = h-1(g(t)).

KW - Differential-iterative equation

KW - Fixed point

KW - Quasi-isoclinic curve

UR - https://www.scopus.com/pages/publications/0034382955

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DO - 10.1142/S0252959900000248

M3 - Article

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EP - 224

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

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