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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 15
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Articles

On second order differential equations with state-dependent delay

Eduardo HernándezFaculdade de Filosofia Ciências e Letras de Ribeirão Preto, Departamento de Computação e Matemática, Universidade de São Paulo, Ribeirão Preto, Brazil.Correspondence[email protected]
,
Katia A. G. AzevedoFaculdade de Filosofia Ciências e Letras de Ribeirão Preto, Departamento de Computação e Matemática, Universidade de São Paulo, Ribeirão Preto, Brazil.
&
Donal O’ReganDepartment of Mathematics, National University of Ireland, Galway, Ireland.
Pages 2610-2617 | Received 07 Mar 2017, Accepted 17 Sep 2017, Published online: 04 Oct 2017

Citations (11)

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Read on this site (3)

Anurag Shukla & N. Sukavanam. (2024) Interior approximate controllability of second-order semilinear control systems. International Journal of Control 97:3, pages 615-624.
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Kulandhivel Karthikeyan, Dhatchinamoorthy Tamizharasan & Ozgur Ege. (2023) Results on controllability and well-posedness of functional abstract second-order differential equations with state-dependent delay. Applicable Analysis 102:11, pages 3185-3198.
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Mamadou Niang, Amadou Diop, Mohamed Didiya & Mamadou Abdoul Diop. (2022) Existence results of mild solutions for some stochastic integrodifferential equations with state-dependent delay and noninstantaneous impulses in Hilbert spaces. Research in Mathematics 9:1.
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Articles from other publishers (8)

G. Arthi, M. Vaanmathi & Yong-Ki Ma. (2023) Controllability Analysis of Impulsive Multi-Term Fractional-Order Stochastic Systems Involving State-Dependent Delay. Fractal and Fractional 7:10, pages 727.
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Kulandhivel Karthikeyan, Dhatchinamoorthy Tamizharasan, Thabet Abdeljawad & Kottakkaran Sooppy Nisar. (2023) Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay. International Journal of Nonlinear Sciences and Numerical Simulation 24:4, pages 1355-1368.
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Seyedeh Marzieh Ghavidel. (2023) A characterization of well‐posedness for the second order abstract Cauchy problems with finite delay. Mathematische Nachrichten 296:6, pages 2352-2365.
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Eduardo Hernández. (2022) Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay. Mathematische Nachrichten 295:1, pages 124-139.
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K Karthikeyan, D Tamizharasan, J J Nieto & Kottakkaran Sooppy Nisar. (2021) Controllability of second-order differential equations with state-dependent delay. IMA Journal of Mathematical Control and Information 38:4, pages 1072-1083.
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Shahram Rezapour, Hernán R. Henríquez, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar & Anurag Shukla. (2021) A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay. Fractal and Fractional 5:3, pages 126.
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Kulandhivel Karthikeyan, Dhatchinamoorthy Tamizharasan & Dimplekumar N. Chalishajar. (2021) Analysis on Controllability Results for Wellposedness of Impulsive Functional Abstract Second-Order Differential Equation with State-Dependent Delay. Axioms 10:3, pages 188.
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Xiaofeng Su & Xianlong Fu. (2020) APPROXIMATE CONTROLLABILITY OF SECOND-ORDER SEMILINEAR EVOLUTION SYSTEMS WITH STATE-DEPENDENT INFINITE DELAY. Journal of Applied Analysis & Computation 10:3, pages 1118-1148.
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