Existence, Uniqueness, and Continuous Dependence of Solutions of Delay-Differential Equations with Infinite Delays in a Banach Space

S. Kato

doi:10.1006/jmaa.1995.1343

Existence, Uniqueness, and Continuous Dependence of Solutions of Delay-Differential Equations with Infinite Delays in a Banach Space

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1995.1343 ◽

1995 ◽

Vol 195 (1) ◽

pp. 82-91 ◽

Cited By ~ 5

Author(s):

S. Kato

Keyword(s):

Banach Space ◽

Differential Equations ◽

Delay Differential Equations ◽

Continuous Dependence ◽

Infinite Delays ◽

Delay Differential ◽

Continuous Dependence Of Solutions

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Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space

Nonlinear Analysis ◽

10.1016/0362-546x(78)90020-2 ◽

1978 ◽

Vol 2 (3) ◽

pp. 311-327 ◽

Cited By ~ 20

Author(s):

V. Lakshmikantham ◽

S. Leela ◽

V. Moauro

Keyword(s):

Banach Space ◽

Differential Equations ◽

Delay Differential Equations ◽

Existence And Uniqueness ◽

Closed Subset ◽

Uniqueness Of Solutions ◽

Delay Differential

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Almost periodic solutions for delay-differential equations with infinite delays

Journal of Differential Equations ◽

10.1016/0022-0396(81)90046-2 ◽

1981 ◽

Vol 41 (3) ◽

pp. 416-425 ◽

Cited By ~ 14

Author(s):

George Seifert

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Delay Differential Equations ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Infinite Delays ◽

Delay Differential

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Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space

Annales Polonici Mathematici ◽

10.4064/ap-50-2-117-128 ◽

1989 ◽

Vol 50 (2) ◽

pp. 117-128 ◽

Cited By ~ 1

Author(s):

Michał Kisielewicz

Keyword(s):

Banach Space ◽

Differential Equations ◽

Continuous Dependence ◽

Continuous Dependence Of Solutions

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On continuous dependence of solutions of linear differential equations on a parameter in a Banach space

Ukrainian Mathematical Journal ◽

10.1007/bf02513486 ◽

1999 ◽

Vol 51 (2) ◽

pp. 311-318

Author(s):

Fam Ngok Boi ◽

Nguyen Tkhe Hoan

Keyword(s):

Banach Space ◽

Differential Equations ◽

Continuous Dependence ◽

Linear Differential Equations ◽

Linear Differential ◽

Continuous Dependence Of Solutions

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Continuous dependence on initial values for impulsive delay differential equations

Applied Mathematics Letters ◽

10.1016/s0893-9659(04)90094-8 ◽

2004 ◽

Vol 17 (4) ◽

pp. 483-490 ◽

Cited By ~ 12

Author(s):

Xinzhi Liu ◽

G Ballinger

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Continuous Dependence ◽

Initial Values ◽

Impulsive Delay Differential Equations ◽

Impulsive Delay ◽

Delay Differential

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Nonlinear stability of explicit and diagonally implicit Runge–Kutta methods for neutral delay differential equations in Banach space

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.10.040 ◽

2008 ◽

Vol 199 (2) ◽

pp. 787-803 ◽

Cited By ~ 4

Author(s):

Wansheng Wang ◽

Liping Wen ◽

Shoufu Li

Keyword(s):

Banach Space ◽

Differential Equations ◽

Nonlinear Stability ◽

Delay Differential Equations ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

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Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.10.026 ◽

2010 ◽

Vol 233 (10) ◽

pp. 2423-2437 ◽

Cited By ~ 7

Author(s):

Wansheng Wang ◽

Liping Wen ◽

Shoufu Li

Keyword(s):

Banach Space ◽

Differential Equations ◽

Delay Differential Equations ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Delay Differential

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Delay Differential Equations - With Applications in Population Dynamics

10.1016/s0076-5392(08)x6164-8 ◽

1993 ◽

Keyword(s):

Population Dynamics ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Neutral uncertain delay differential equations

Green Communications and Networks ◽

10.2495/gcn131342 ◽

2014 ◽

Author(s):

Xintong Ge

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Growth on Meromorphic Solutions of Non-linear Delay Differential Equations

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1553047233 ◽

2019 ◽

Vol 26 (1) ◽

pp. 131-147 ◽

Cited By ~ 2

Author(s):

Pei-Chu Hu ◽

Qiong-Yan Wang

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Meromorphic Solutions ◽

Linear Delay ◽

Non Linear ◽

Delay Differential

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