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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 7
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Controllability for a class of second-order evolution differential inclusions without compactness

V. VijayakumarDepartment of Mathematics, Info Institute of Engineering, Coimbatore, India.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-5976-5794
ORCID Icon &
R. MurugesuDepartment of Mathematics, SRMV College of Arts and Science, Coimbatore, India.
Pages 1367-1385 | Received 25 Jul 2017, Accepted 23 Dec 2017, Published online: 03 Jan 2018

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Elimhan N. Mahmudov. (2023) Optimal control of differential inclusions with endpoint constraints and duality. Applicable Analysis 102:17, pages 4717-4732.
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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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M. Johnson & V. Vijayakumar. (2023) Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators. Numerical Functional Analysis and Optimization 44:6, pages 439-460.
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M. Johnson, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar & Bipan Hazarika. (2023) Existence and approximate controllability results for second-order impulsive stochastic neutral differential systems. Applicable Analysis 0:0, pages 1-25.
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Urvashi Arora, V. Vijayakumar, Arun Kumar Singh, Harish Kumar Sahu & Anurag Shukla. (2022) Results on approximate controllability for a second-order semilinear nonlocal control system with monotonic nonlinearity. Journal of Control and Decision 0:0, pages 1-10.
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Elimhan N. Mahmudov. (2022) Second-order viability problems for differential inclusions with endpoint constraint and duality. Applicable Analysis 101:3, pages 1130-1146.
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Vikram Singh, Renu Chaudhary & Dwijendra N. Pandey. (2021) Approximate controllability of second-order non-autonomous stochastic impulsive differential systems. Stochastic Analysis and Applications 39:2, pages 339-356.
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P.K. Lakshmi Priya & K. Kaliraj. (2022) An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system. Chaos, Solitons & Fractals 164, pages 112647.
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K. Kavitha & V. Vijayakumar. (2022) A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay. Mathematical Sciences.
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Kamalendra Kumar, Rohit Patel, Velusamy Vijayakumar, Anurag Shukla & Chokkalingam Ravichandran. (2022) A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations. Mathematical Methods in the Applied Sciences 45:13, pages 8193-8215.
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K. Kavitha & V. Vijayakumar. (2022) An Analysis Regarding to Approximate Controllability for Hilfer Fractional Neutral Evolution Hemivariational Inequality. Qualitative Theory of Dynamical Systems 21:3.
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Samundra Regmi, Ioannis K. Argyros, Santhosh George & Christopher I. Argyros. (2022) Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications. Symmetry 14:7, pages 1484.
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A. Afreen, A. Raheem & A. Khatoon. (2022) Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control. Chaos, Solitons & Fractals 155, pages 111763.
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Krishnan Kavitha, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla, Wedad Albalawi & Abdel-Haleem Abdel-Aty. (2022) Existence and controllability of Hilfer fractional neutral differential equations with time delay via sequence method. AIMS Mathematics 7:7, pages 12760-12780.
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Yong-Ki Ma, Kamalendra Kumar, Rohit Patel, Anurag Shukla, Kottakkaran Sooppy Nisar & Velusamy Vijayakumar. (2022) An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space. AIMS Mathematics 7:7, pages 11687-11707.
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Luisa Malaguti, Stefania Perrotta & Valentina Taddei. (2022) $ L^p $-exact controllability of partial differential equations with nonlocal terms. Evolution Equations and Control Theory 11:5, pages 1533.
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Ali Turab & Wutiphol Sintunavarat. (2021) A unique solution of the iterative boundary value problem for a second-order differential equation approached by fixed point results. Alexandria Engineering Journal 60:6, pages 5797-5802.
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Kottakkaran Sooppy Nisar & V. Vijayakumar. (2021) Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system. Mathematical Methods in the Applied Sciences 44:17, pages 13615-13632.
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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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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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V. Vijayakumar, Sumati Kumari Panda, Kottakkaran Sooppy Nisar & Haci Mehmet Baskonus. (2020) Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay. Numerical Methods for Partial Differential Equations 37:2, pages 1200-1221.
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Hai Huang & Xianlong Fu. (2019) Approximate Controllability of Semi-Linear Neutral Integro-Differential Equations with Nonlocal Conditions. Journal of Dynamical and Control Systems 26:1, pages 127-147.
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Manar A. Alqudah, C. Ravichandran, Thabet Abdeljawad & N. Valliammal. (2019) New results on Caputo fractional-order neutral differential inclusions without compactness. Advances in Difference Equations 2019:1.
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V. Vijayakumar. (2018) Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke’s Subdifferential Type. Results in Mathematics 73:1.
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