Fundamental solutions for semi-linear neutral retarded integro-differential systems and applications to control problems

[1]  Yong Zhou,et al.  Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces , 2019 .

[2]  F. Kappel,et al.  Series Expansions for Resolvents of Volterra Integrodifferential Equations in Banach Space , 1984 .

[3]  Fatima Zahra Mokkedem,et al.  Approximate controllability of semi-linear neutral integro-differential systems with finite delay , 2014, Appl. Math. Comput..

[4]  Kai Liu.  The Fundamental Solution and Its Role in the Optimal Control of Infinite Dimensional Neutral Systems , 2009 .

[5]  A. Pritchard,et al.  Analytic resolvent operators for integral equations in Banach space , 1983 .

[6]  Alessandra Lunardi,et al.  On the linear heat equation with fading memory , 1990 .

[7]  Yongxiang Li,et al.  Approximate Controllability of Non-autonomous Evolution System with Nonlocal Conditions , 2018, Journal of Dynamical and Control Systems.

[8]  C. C. Travis,et al.  Existence, stability, and compactness in the -norm for partial functional differential equations , 1978 .

[9]  R. Grimmer.  Resolvent operators for integral equations in a Banach space , 1982 .

[10]  Hans Zwart,et al.  An Introduction to Infinite-Dimensional Linear Systems Theory , 1995, Texts in Applied Mathematics.

[11]  H. Henríquez,et al.  EXISTENCE RESULTS FOR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY , 2011 .

[12]  Rong Huang,et al.  Existence of solutions for neutral integro-differential equations with state-dependent delay , 2013, Appl. Math. Comput..

[13]  Yu Zhang,et al.  EXISTENCE OF SOLUTIONS FOR NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS , 2012 .

[14]  Fatima Zahra Mokkedem,et al.  Approximate controllability of a semi‐linear neutral evolution system with infinite delay , 2017 .

[15]  Piermarco Cannarsa,et al.  Global solutions of abstract semilinear parabolic equations with memory terms , 2003 .

[16]  T. Caraballo,et al.  Existence and exponential stability for neutral stochastic integro–differential equations with impulses driven by a Rosenblatt process , 2020, Discrete & Continuous Dynamical Systems - B.

[17]  Nagarajan Sukavanam,et al.  Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique , 2020, Appl. Math. Comput..

[18]  K. Mourad.  Approximate controllability of fractional neutral stochastic evolution equations in Hilbert spaces with fractional Brownian motion , 2018 .

[19]  On a New Class of Abstract Neutral Integro-Differential Equations and Applications , 2017 .

[20]  Surendra Kumar,et al.  Mild Solution and Fractional Optimal Control of Semilinear System with Fixed Delay , 2017, J. Optim. Theory Appl..

[21]  Yong-Kui Chang,et al.  Degenerate type fractional evolution hemivariational inequalities and optimal controls via fractional resolvent operators , 2018, Int. J. Control.

[22]  Juan J. Nieto,et al.  Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential , 2018, J. Comput. Appl. Math..

[23]  Boris S. Mordukhovich,et al.  Optimal control of delay-differential inclusions with functional endpoint constraints in infinite dimensions , 2009 .

[24]  Jiongmin Yong,et al.  Optimal Control Theory for Infinite Dimensional Systems , 1994 .

[25]  Shin-ichi Nakagiri,et al.  Optimal Control of Linear Retarded Systems in Banach Spaces , 1986 .

[26]  K. Ezzinbi,et al.  Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions , 2019, Numerical Functional Analysis and Optimization.

[27]  J. Nohel,et al.  Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels , 1981 .

[28]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[29]  Nazim I. Mahmudov,et al.  On Concepts of Controllability for Deterministic and Stochastic Systems , 1999 .

[30]  J. Lions.  Optimal Control of Systems Governed by Partial Differential Equations , 1971 .

[31]  W. Desch,et al.  Some considerations for Linear integrodifferential equations , 1984 .

[32]  Jin-Mun Jeong,et al.  Optimal Control Problems for Semilinear Retarded Functional Differential Equations , 2015, J. Optim. Theory Appl..

[33]  Jace W. Nunziato,et al.  On heat conduction in materials with memory , 1971 .

[34]  Wolfgang Desch,et al.  Wellposedness and wave propagation for a class of integrodifferential equations in Banach space , 1988 .

[35]  A. Sène,et al.  Optimal control problem for some integrodifferential equations in Banach spaces , 2018 .

[36]  Xianlong Fu,et al.  Approximate controllability of semi-linear stochastic integro-differential equations with infinite delay , 2020, IMA J. Math. Control. Inf..

[37]  Jin-Mun Jeong,et al.  Time Optimal Control of Semilinear Control Systems Involving Time Delays , 2015, J. Optim. Theory Appl..

[38]  Jan Prüss,et al.  Global existence for a semilinear parabolic Volterra equation , 1992 .

[39]  Fatima Zahra Mokkedem,et al.  Optimal Control Problems for a Semilinear Evolution System with Infinite Delay , 2019 .

[40]  R. K. Miller,et al.  An integrodifferential equation for rigid heat conductors with memory , 1978 .

[41]  Hernán R. Henríquez,et al.  Existence of S-asymptotically ω-periodic solutions to abstract integro-differential equations , 2015, Appl. Math. Comput..

[42]  P. Balasubramaniam,et al.  The Solvability and Optimal Controls for Impulsive Fractional Stochastic Integro-Differential Equations via Resolvent Operators , 2017, J. Optim. Theory Appl..

[43]  Nagarajan Sukavanam,et al.  Approximate controllability of a delayed semilinear control system with growing nonlinear term , 2011 .