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International Journal of Control Volume 81, 2008 - Issue 5
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Original Articles

On a class of non-linear parabolic control systems with memory effects

K. Sakthivel Department of Mathematics, Bharathiar University, Coimbatore – 641 046, IndiaCorrespondence[email protected]
,
K. Balachandran Department of Mathematics, Bharathiar University, Coimbatore – 641 046, India
&
B. R. Nagaraj TIFR Centre, Indian Institute of Science Campus, Bangalore – 560 012, India
Pages 764-777 | Received 14 Dec 2006, Accepted 12 May 2007, Published online: 08 Apr 2008

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Elimhan N. Mahmudov & Dilara Mastaliyeva. (2023) Optimisation of parabolic type polyhedral discrete, discrete-approximate and differential inclusions. International Journal of Control 0:0, pages 1-11.
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Elimhan N. Mahmudov. (2022) Optimal control of parabolic differential inclusions in one space dimension. International Journal of Control 95:11, pages 2931-2942.
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Tran Nhat Luan & Tra Quoc Khanh. (2021) On the backward problem for parabolic equations with memory. Applicable Analysis 100:7, pages 1414-1431.
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Qiang Tao & Hang Gao. (2020) On the null controllability of parabolic equations with nonlinear memory. International Journal of Control 93:7, pages 1745-1753.
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K. Sakthivel, G. Devipriya, K. Balachandran & J.-H. Kim. (2010) Controllability of a Reaction-Diffusion System Describing Predator–Prey Model. Numerical Functional Analysis and Optimization 31:7, pages 831-851.
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Articles from other publishers (17)

Hengzhi Zhao, Jiwei Zhang & Jing Lu. (2023) Numerical approximate controllability for unidimensional parabolic integro-differential equations. Mathematics and Computers in Simulation 204, pages 575-596.
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. (2023) Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations. Mathematical Control and Related Fields 13:1, pages 265-302.
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Brahim Allal, Genni Fragnelli & Jawad Salhi. (2022) Null Controllability for a Degenerate Population Equation with Memory. Applied Mathematics & Optimization 86:3.
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Hengzhi Zhao & Jiwei Zhang. (2022) Approximate controllability of a parabolic integro-differential equation with nonconstant memory kernel under a weak constraint condition. Journal of Mathematical Analysis and Applications 507:1, pages 125773.
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Brahim Allal & Genni Fragnelli. (2021) Null controllability of degenerate parabolic equation with memory. Mathematical Methods in the Applied Sciences 44:11, pages 9163-9190.
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Brahim Allal, Genni Fragnelli & Jawad Salhi. (2021) Null controllability for a singular heat equation with a memory term. Electronic Journal of Qualitative Theory of Differential Equations:14, pages 1-24.
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Lingfei Li, Xiuxiang Zhou & Hang Gao. (2018) The stability and exponential stabilization of the heat equation with memory. Journal of Mathematical Analysis and Applications 466:1, pages 199-214.
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K. Harish Kumar & V. Antony Vijesh. (2018) Wavelet based iterative methods for a class of 2D-partial integro differential equations. Computers & Mathematics with Applications 75:1, pages 187-198.
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Cristi Guevara & Hugo Leiva. (2016) Controllability of the Impulsive Semilinear Heat Equation with Memory and Delay. Journal of Dynamical and Control Systems 24:1, pages 1-11.
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Qiang Tao & Hang Gao. (2016) On the null controllability of heat equation with memory. Journal of Mathematical Analysis and Applications 440:1, pages 1-13.
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Qiang Tao, Hang Gao, Bo Zhang & Zheng'an Yao. (2014) Approximate controllability of a parabolic integrodifferential equation. Mathematical Methods in the Applied Sciences 37:15, pages 2236-2244.
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Qiang Tao, Hang Gao & Bo Zhang. (2012) Approximate controllability of a parabolic equation with memory. Nonlinear Analysis: Hybrid Systems 6:2, pages 839-845.
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Qiang Tao & Hang Gao. (2011) Controllability for parabolic equations with nonlinear memory. Computers & Mathematics with Applications 61:3, pages 538-545.
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N. Baranibalan, K. Sakthivel, K. Balachandran & J.-H. Kim. (2010) Reconstruction of two time independent coefficients in an inverse problem for a phase field system. Nonlinear Analysis: Theory, Methods & Applications 72:6, pages 2841-2851.
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K. Sakthivel, G. Devipriya, K. Balachandran & J.-H. Kim. (2009) Exact null controllability of a semilinear parabolic equation arising in finance. Nonlinear Analysis: Hybrid Systems 3:4, pages 565-577.
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N. Baranibalan, K. Sakthivel & K. Balachandran. (2008) Uniqueness and stability in inverse parabolic equations with memory. Nonlinear Analysis: Hybrid Systems 2:4, pages 1077-1088.
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. (2008) Robust and nonlinear control literature survey (No. 7). International Journal of Robust and Nonlinear Control 18:12, pages 1323-1326.
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