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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 4
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Original Articles

Set Differential Equations and Flow Invariance

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Pages 357-368 | Published online: 09 Sep 2010

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T. Gnana Bhaskar & J. Vasundhara Devi . (2005) Nonuniform stability and boundedness criteria for set differential equations. Applicable Analysis 84:2, pages 131-143.
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Keke Jia, Shihuang Hong, Xiaoyu Cao & Jieqing Yue. (2022) Exponential stability for a class of set dynamic equations on time scales. Journal of Inequalities and Applications 2022:1.
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A. Khastan, R. Rodríguez-López & M. Shahidi. (2021) New differentiability concepts for set-valued functions and applications to set differential equations. Information Sciences 575, pages 355-378.
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Peiguang Wang, Xiran Wu & Huina Liu. (2021) Higher order convergence for a class of set differential equations with initial conditions. Discrete & Continuous Dynamical Systems - S 14:9, pages 3233.
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Samaneh Soradi-Zeid & Hadi Jahanshahi. 2021. Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications. Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications 461 483 .
Nguyen Dinh Phu, Truong Vinh An & Nguyen Nhut Hung. (2019) Weakly contractive mappings in partially ordered metric space and solutions of delay interval-valued differential equations under generalized Hukuhara differentiability. Journal of Intelligent & Fuzzy Systems 36:1, pages 637-647.
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Nguyen Dinh Phu, Nguyen Nhut Hung & Nguyen Hoang Giang. (2019) Global existence and uniqueness of the solution to the impulsive interval-valued differential equations under generalized Hukuhara differentiability. Journal of Intelligent & Fuzzy Systems 36:1, pages 423-433.
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Truong Vinh An, Ngo Van Hoa & Nguyen Anh Tuan. (2017) Impulsive hybrid interval-valued functional integro-differential equations. Journal of Intelligent & Fuzzy Systems 32:1, pages 529-541.
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Le Thanh Quang, Ngo Van Hoa, Nguyen Dinh Phu & Tran Thanh Tung. (2016) Existence of extremal solutions for interval-valued functional integro-differential equations. Journal of Intelligent & Fuzzy Systems 30:6, pages 3495-3512.
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Mohadeseh Ramezanadeh, Mohammad Heidari, Omid Solaymani Fard & Akbar Hashemi Borzabadi. (2015) On the interval differential equation: novel solution methodology. Advances in Difference Equations 2015:1.
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Ngo Van Hoa. (2015) The initial value problem for interval-valued second-order differential equations under generalized H-differentiability. Information Sciences 311, pages 119-148.
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Le Thanh Quang. (2014) On the solutions for box differential equations under generalized Hukuhara derivative. Advances in Difference Equations 2014:1.
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Nguyen Dinh Phu, Truong Vinh An, Ngo Van Hoa & Nguyen Thi Hien. (2014) Interval-valued functional differential equations under dissipative conditions. Advances in Difference Equations 2014:1.
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Ngo Van Hoa, Nguyen Dinh Phu, Tran Thanh Tung & Le Thanh Quang. (2014) Interval-valued functional integro-differential equations. Advances in Difference Equations 2014:1.
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Van Hoa Ngo & Dinh Phu Nguyen. (2013) Global existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivative. Advances in Difference Equations 2013:1.
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Vinh An Truong, Van Hoa Ngo & Dinh Phu Nguyen. (2013) Global existence of solutions for interval-valued integro-differential equations under generalized H-differentiability. Advances in Difference Equations 2013:1.
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Barnabás Bede & Luciano Stefanini. (2013) Generalized differentiability of fuzzy-valued functions. Fuzzy Sets and Systems 230, pages 119-141.
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Y. Chalco-Cano, A. Rufián-Lizana, H. Román-Flores & M.D. Jiménez-Gamero. (2013) Calculus for interval-valued functions using generalized Hukuhara derivative and applications. Fuzzy Sets and Systems 219, pages 49-67.
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Marek T. Malinowski. (2012) Interval Cauchy problem with a second type Hukuhara derivative. Information Sciences 213, pages 94-105.
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Marek T. Malinowski. (2012) On set differential equations in Banach spaces – a second type Hukuhara differentiability approach. Applied Mathematics and Computation 219:1, pages 289-305.
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Marek T. Malinowski. (2012) Second type Hukuhara differentiable solutions to the delay set-valued differential equations. Applied Mathematics and Computation 218:18, pages 9427-9437.
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Shihuang Hong & Jiao Liu. (2011) Phase spaces and periodic solutions of set functional dynamic equations with infinite delay. Nonlinear Analysis: Theory, Methods & Applications 74:9, pages 2966-2984.
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Y. Chalco-Cano, H. Román-Flores & M.D. Jiménez-Gamero. (2011) Generalized derivative and π-derivative for set-valued functions. Information Sciences 181:11, pages 2177-2188.
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Y. Chalco-Cano & W. Lodwick. (2010) On difference of intervals and differentiability of interval-valued functions. On difference of intervals and differentiability of interval-valued functions.
Shihuang Hong. (2010) Stability criteria for set dynamic equations on time scales. Computers & Mathematics with Applications 59:11, pages 3444-3457.
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Bashir Ahmad. (2010) VARIATIONAL LYAPUNOV METHOD AND STABILITY ANALYSIS FOR PERTURBED SETVALUED IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH DELAY. Taiwanese Journal of Mathematics 14:2.
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Shihuang Hong. (2009) Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations. Nonlinear Analysis: Theory, Methods & Applications 71:9, pages 3622-3637.
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Luciano Stefanini & Barnabás Bede. (2009) Generalized Hukuhara differentiability of interval-valued functions and interval differential equations. Nonlinear Analysis: Theory, Methods & Applications 71:3-4, pages 1311-1328.
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S. Leela & J. Vasundhara Devi. (2008) Heartfelt tribute to the person with an amazing legacy. Nonlinear Analysis: Theory, Methods & Applications 69:3, pages 781-785.
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B. Ahmad. (2008) Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions. Journal of Applied Analysis 14:2.
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Bashir Ahmad & S. Sivasundaram. (2006) The monotone iterative technique for impulsive hybrid set valued integro-differential equations. Nonlinear Analysis: Theory, Methods & Applications 65:12, pages 2260-2276.
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Bashir Ahmad & S. Sivasundaram. (2006) Dynamics and stability of impulsive hybrid setvalued integro-differential equations with delay. Nonlinear Analysis: Theory, Methods & Applications 65:11, pages 2082-2093.
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T. Gnana Bhaskar & J. Vasundhara Devi. (2005) Set differential systems and vector Lyapunov functions. Applied Mathematics and Computation 165:3, pages 539-548.
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T. Gnana Bhaskar & J. Vasundhara Devi. (2005) Stability criteria for set differential equations. Mathematical and Computer Modelling 41:11-12, pages 1371-1378.
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T.Gnana Bhaskar, V. Lakshmikantham & Vasundhara Devi. (2004) Revisiting fuzzy differential equations. Nonlinear Analysis: Theory, Methods & Applications 58:3-4, pages 351-358.
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V. Lakshmikantham & A.A. Tolstonogov. (2003) Existence and interrelation between set and fuzzy differential equations. Nonlinear Analysis: Theory, Methods & Applications 55:3, pages 255-268.
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