|
[1] N. U. Ahmed, Semigroup theory with applications to systems and control, Pitman Res. Notes in Math. Ser. 246, Longman Scientific and Technical and John Wiley, London, New York, 1991.
[2] W. Arendt, Resolvent positive operators and integrated semigroup, Proc. London Math. Soc. 3(54) (1987), 321-349.
[3] W. Arendt, Vector valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-352.
[4] J. P. Aubin and A. Cellina, Differential Inclusions, Springer-Verlag, Berlin, 1984.
[5] K. Balachandran and J. Dauer, Controllability of nonlinear systems in Banach spaces: a survey. Dedicated to Professor Wolfram Stadler, J. Optim. Theo. Appl. 115(1) (2002), 7-28.
[6] K. Balachandran and P. Manimegalai, Controllability of nonlinear abstract neutral evolution integrodifferential systems, Nonlinear Funct. Anal. Appl. 7 (2002), 85-100.
[7] D. D. Bainov and P. S. Simeonov, Systems with Impulse Effect, Ellis Horwood Ltd., Chichister, 1989.
[8] M. Benchohra, E. P. Gatsori, L. Górniewicz and S. K. Ntouyas, Controllability results for evolution inclusions with non-local conditions, Z. Anal. Anwendungen 22 (2003), 411-431.
[9] M. Benchohra, L. Górniewicz, S. K. Ntouyas and A. Ouahab, Existence results for nondensely defined impulsive semilinear functional differential equations, Nonlinear Analysis and Applications, R. Agarwal and D. O’Regan, eds., Kluwer Publisher, 2003.
[10] M. Benchohra, L. Górniewicz, S. K. Ntouyas and A. Ouahab, Controllability results for impulsive functional differential inclusions, Reports Math. Physics 54 (2004), 211-227.
[11] M. Benchohra, J. Henderson and S. K. Ntouyas, Impulsive Differential Equations and Inclusions, Vol. 2, Hindawi Publishing Corporation, New York, 2006.
[12] M. Benchohra and S. K. Ntouyas, Existence of mild solutions for certain delay semilinear evolution inclusions with nonlocal condition, Dynam. Systems Appl. 9(3) (2000), 405-412.
[13] M. Benchohra and S. K. Ntouyas, Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces, J. Math. Anal. Appl. 258(2) (2001), 573-590.
[14] M. Benchohra and S. K. Ntouyas, Existence of mild solutions of semilinear evolution inclusions with nonlocal conditions, Georgian Math. J. 7(2) (2002), 221-230.
[15] M. Benchohra and S. K. Ntouyas, Existence and controllability results for multivalued semilinear differential equations with nonlocal conditions, Soochow J. Math. 29 (2003), 157-170.
[16] M. Benchohra, S. K. Ntouyas and L. Górniewicz, Controllability of some nonlinear systems in Banach spaces, The Fixed Point Theory Approach, Plock Univ. Press, 2003.
[17] A. Bensoussan, G. Da Prato, M. C. Delfour and S. K. Mitter, Representation and control of infinite dimension systems, Systems and Control: Foundations and Applications, Vol. 2, Birkhäuser, Boston, 1993.
[18] A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
[19] S. Busenberg and B. Wu, Convergence theorems for integrated semigroups, Differential Integral Equations 5(3) (1992), 509-520.
[20] C. Castaing and M. Valadier, Convex analysis and measurable multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin, Heidelberg, New York, 1977.
[21] H. Covitz and S. B. Nadler, Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
[22] R. Curtain and H. J. Zwart, An Introduction to Infinite Dimensional Linear Systems Theory, Springer-Verlag, New York, 1995.
[23] G. Da Prato and E. Sinestrari, Differential operators with non-dense domains, Ann. Scuola Norm. Sup. Pisa Sci. 14 (1987), 285-344.
[24] K. Deimling, Multivalued Differential Equations, Walter De Gruyter, Berlin, New York, 1992.
[25] J. Dugundji and A. Granas, Fixed Point Theory, Springer-Verlag, New York, 2003.
[26] K. J. Engel and R. Nagel, One-parameter Semigroups for Linear Evolution Equations, Springer-Verlag, New York, 2000.
[27] K. Ezzinbi, Existence and stability for some partial functional differential equations with infinite delay, Electron. J. Differential Equations 2003 (2003), 1-13.
[28] K. Ezzinbi and J. Liu, Periodic solutions of non-densely defined evolution equations, J. Appl. Math. Stochastic Anal. 15(2) (2002), 113-123.
[29] M. Frigon and A. Granas, Théorèmes d’existence pour des inclusions différentielles sans convexité, C. R. Acad. Sci. Paris, Ser. I 310 (1990), 819-822.
[30] L. Górniewicz, Topological fixed point theory of multivalued mappings, Mathematics and its Applications, Vol. 495, Kluwer Academic Publishers, Dordrecht, 1999.
[31] G. Guhring, F. Rabiger and W. Ruess, Linearized stability for semilinear non- autonomous evolution equations to retarded differential equations, Differential Integral Equations 13 (2000), 503-527.
[32] J. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkcial Ekvac 21 (1978), 11-41.
[33] J. K. Hale and S. M. Verduyn Lunel, Introduction to functional differential equations, Applied Mathematical Sciences, Vol. 99, Springer-Verlag, New York, 1993.
[34] E. Hernandez and H. R. Henriquez, Existence results for partial neutral functional-differential equations with unbounded delay, J. Math. Anal. Appl. 221(2) (1998), 452-475.
[35] E. Hernandez, M. Pierri and H. R. Henriquez, Existence results for an impulsive abstract partial differential equations with state-dependent delay, Comput. Math. Appl. 52 (2006), 411-420.
[36] E. Hernandez, M. Rabello and H. R. Henriquez, Existence of solutions for impulsive partial neutral functional differential equations, J. Math. Anal. Appl. 331 (2007), 1135-1158.
[37] Y. Hino, S. Murakani and T. Naito, Functional differential equations with infinite delay, Lecture Notes in Mathematics 1473, Springer-Verlag, Berlin, 1991.
[38] Sh. Hu and N. Papageorgiou, Handbook of Multivalued Analysis, Vol. I: Theory, Kluwer, Dordrecht, 1997.
[39] M. Kamenskii, V. Obukhovskii and P. Zecca, Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces, Walter de Gruyter & Co., Berlin, 2001.
[40] H. Kellermann and M. Hieber, Integrated semigroup, J. Funct. Anal. 84 (1989), 160-180.
[41] M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer, Dordrecht, The Netherlands, 1991.
[42] V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
[43] A. Lasota and Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
[44] G. Li and X. Xue, Controllability of evolution inclusions with nonlocal conditions, Appl. Math. Comput. 141 (2003), 375-384.
[45] X. Li and J. Yong, Optimal Control Theory for Infinite Dimensional Systems, Birkhäuser, Berlin, 1995.
[46] R. Nagel and E. Sinestrari, Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators, Functional Analysis, K. D. Bierstedt, A. Pietsch, W. M. Ruess and D. Voigt, eds., pp. 51-70, Marcel Dekker, 1998.
[47] F. Neubrander, Integrated semigroups and their applications to the abstract Cauchy problems, Pacific J. Math. 135 (1988), 111-155.
[48] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
[49] M. D. Quinn and N. Carmichael, An approach to nonlinear control problems using fixed-point methods, degree theory and pseudo-inverses, Numer. Funct. Anal. Optim. 7(2-3) (1984/85), 197-219.
[50] Y. V. Rogovchenko, Impulsive evolution systems: main results and new trends, Dyn. Contin. Discrete Impuls. Syst. 3(1) (1997), 57-88.
[51] Y. V. Rogovchenko, Nonlinear impulsive evolution systems and applications to population models, J. Math. Anal. Appl. 207(2) (1997), 300-315.
[52] A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, Singapore, 1995.
[53] H. Thieme, Integrated semigroups and integrated solutions to abstract Cauchy problems, J. Math. Anal. Appl. 152 (1990), 416-447.
[54] A. A. Tolstonogov, Differential Inclusions in a Banach Space, Kluwer, Dordrecht, 2000.
[55] J. Wu, Theory and applications of partial functional differential equations, Applied Mathematical Sciences, Vol. 119, Springer-Verlag, New York, 1996.
[56] K. Yosida, Functional Analysis, 6th ed., Springer-Verlag, Berlin, 1980.
[57] J. Zabczyk, Mathematical Control Theory, Birkhäuser, Berlin, 1992. |