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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology
CAS - Institute of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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)).

Original language	English
Pages (from-to)	217-224
Number of pages	8
Journal	Chinese Annals of Mathematics. Series B
Volume	21
Issue number	2
DOIs	https://doi.org/10.1142/S0252959900000248
Publication status	Published - 2000

Keywords

Differential-iterative equation
Fixed point
Quasi-isoclinic curve

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10.1142/S0252959900000248

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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",

author = "Weigao Ge and Cuizhe Li and Yuanhong Yu",

year = "2000",

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T1 - On the existence of solutions to a type of nonlinear differential-iterative equations

AU - Ge, Weigao

AU - Li, Cuizhe

AU - Yu, Yuanhong

PY - 2000

Y1 - 2000

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

U2 - 10.1142/S0252959900000248

DO - 10.1142/S0252959900000248

M3 - Article

AN - SCOPUS:0034382955

SN - 0252-9599

VL - 21

SP - 217

EP - 224

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

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

Abstract

Keywords

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