Controllability of second-order impulsive functional differential equations with state-dependent delay

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참고문헌 (35)

1. W. G. Aiello, "Analysis of a model representing stage-structured population growth with state-dependent time delay", SIAM J. Appl. Math, 52(3), pp.855~869 (1992)
2. A. Anguraj, "Existence results for an impulsive neu- tral functional differential equation with state-dependent delay", Appl. Anal, 86(7), pp.861~872 (2007)
3. K. Balachandran, "Controllability of second-order semilinear neutral functional differential systems in Banach spaces", Comput. Math. Appl, 41(10), pp.1223~1235 (2001)
4. M. Bartha, "Periodic solutions for differential equations with state-dependent delay and positive feedback", Nonlinear Anal, 53(6), pp.839~857 (2003)
5. Y. Cao, "The effects of state-dependent time delay on a stage- structured population growth model", Nonlinear Anal, 19(2), pp.95~105 (1992)
6. Y.-K. Chang, "Existence results for a second order impulsive functional differential equation with state-dependent delay", Differ. Equ. Appl, 1(3), pp.325~339 (2009)
7. F. Chen, "Periodicity in a food-limited population model with toxicants and state-dependent delays", J. Math. Anal. Appl, 288(1), pp.136~146 (2003)
8. A. Domoshnitsky, "On equations with delay depending on solution", Nonlinear Anal, 49(5), pp.689~701 (2002)
9. R. D. Driver, "A neutral system with state-dependent delay", J. Differential Equations, 54(1), pp.73~86 (1984)
10. H. O. Fattorini, "Second Order Linear Differential Equations in Banach Spaces" (1985), North- Holland
11. F. Hartung, "Parameter estimation by quasilinearization in functional differential equa- tions with state-dependent delays: a numerical study", Proceedings of the Third World Congress of Nonlinear Analysts, Part 7 (Catania, 2000), Nonlinear Anal. 47, 통권 : 7, pp.4557~4566 (2001)
12. F. Hartung, "Parameter identification in classes of neutral differential equations with state-dependent delays", Nonlinear Anal, 39(3), pp.305~325 (2000)
13. F. Hartung, "Functional Differential Equations with State-Dependent Delays: Theory and Applications, In Handbook of Differential Equations : Ordinary Differential Equations" (2006), Elsevier B. V
14. F. Hartung, "Identification of parameters in delay equations with state- dependent delays", Nonlinear Anal, 29(11), pp.1303~1318 (1997)
15. E. Hernandez, "Existence of solutions for a second order abstract functional differential equation with state-dependent delay", Electron. J. Differential Equations, (21), pp.10~ (2007)
16. E. Hernandez, "On state-dependent delay partial neutral functional differential equations", Appl. Math. Comput, 186(1), pp.294~301 (2007)
17. E. Hernandez, "Existence results for partial neutral functional differential equations with state-dependent delay", Math. Comput. Modelling, 49(5), pp.1260~1267 (2009)
18. E. Hernandez, "Existence results for an impulsive abstract partial differential equation with state-dependent delay", Comput. Math. Appl, 52(3), pp.411~420 (2006)
19. E. Hernandez, "A note on partial functional differen- tial equations with state-dependent delay", Nonlinear Anal. Real World Appl, 7(4), pp.510~519 (2006)
20. E. Hernandez, "Existence results for impulsive evolution dif- ferential equations with state-dependent delay, Electron", J. Differential Equations, (28), pp.11~ (2008)
21. Y. Hino, "Functional Differential Equations with Infinite Delay", Lecture Notes in Mathematics, 1473 (1991), Springer-Verlag
22. Jin-Mun Jeong, "Controllability for semilinear functional integrodifferential equations", 대한수학회보, 46(3), pp.463~475 (2009), 대한수학회
23. J. Kisynski, "On cosine operator functions and one parameter group of operators", Studia Math, 49, pp.93~105 (1972)
24. V. Lakshmikantham, "Theory of Impulsive Differential Equations" (1989), World Scientific
25. W. S. Li, "Solvability of impulsive neutral evolution differ- ential inclusions with state-dependent delay", Math. Comput. Modelling, 49(9), pp.1920~1927 (2009)
26. S. K. Ntouyas, "Some remarks on controllability of evolution equations in Banach spaces", Electron. J. Differential Equations, (79), pp.6~ (2009)
27. J. Y. Park, "Controllability for some second order differential equations", Bull. Korean Math. Soc, 34(3), pp.411~419 (1997)
28. J. Y. Park, "Controllability of second-order impulsive neutral functional differential inclusions in Banach spaces", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 33(3), pp.249~262 (2010), JOHN WILEY SONS LTD
29. B. N. Sadovskii, "On a fixed point principle", Funct. Anal. Appl, 1(2), pp.74~76 (1967)
30. R. Sakthivel, "On controllability of second-order non-linear impulsive differential systems", Nonlinear Anal, 71(1), pp.45~52 (2009)
31. A. M. Samoilenko, "Impulsive Differential Equations" (1995), World Scien-tific
32. J. G. Si, "Analytic solutions of a second-order functional differential equation with a state dependent delay", Results Math, 39(3), pp.345~352 (2001)
33. C. C. Travis, "Compactness, regularity and uniform continuity properties of strongly continuous cosine families", Houston J. Math, 3(4), pp.555~567 (1977)
34. C. C. Travis, "Cosine families and abstract nonlinear second order differential equations", Acta Math. Acad. Sci. Hungar, 32(1), pp.75~96 (1978)
35. Z. Yang, "Existence of periodic solutions in neutral state-dependent delay equations and models", J. Comput. Appl. Math, 174(1), pp.179~199 (2005)

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