Monotone iteration scheme for impulsive three-point nonlinear boundary value problems with quadratic convergence

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참고문헌 (47)

1. A. R. Abd-Ellateef Kamar, "Generalized quasilinearization for systems of nonlinear differential equations with periodic boundary conditions", Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 12(1), pp.77~85 (2005)
2. B. Ahmad, "A quasilinearization method for a class of integro-differential equations with mixed nonlinearities", Nonlinear Analysis: Real World Applications, 7(5), pp.997~1004 (2006)
3. B. Ahmad, "Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions", Nonlinear Analysis (2007)
4. B. Ahmad, "Rapid unilateral monotone scheme for impulsive hybrid nonlinear boundary value problems", International Journal of Hybrid Systems, 4, pp.345~354 (2004)
5. C. Altafini, "Hybrid control of a truck and trailer vehicle, In: Hybrid Systems: Computation and Control, volume 2289, Lecture Notes in Computer Science" (2002), Springer Verlag
6. R. Alur, "Model-checking for real-time systems, Fifth Annual IEEE Symposium on Logic in Computer Science (Philadelphia, PA, 1990)", pp.414~425 (1990), IEEE Comput. Soc. Press
7. P. J. Antsaklis, "Hybrid Control Systems: An Introductory Discussion to the Special Issue", IEEE Transactions on Automatic Control, 43(4), pp.457~460 (1998)
8. C. Bai, "Existence of solutions for second-order nonlinear impulsive with periodic boundary value conditions", boundary value problem, pp.13~ (2007)
9. A. Balluchi, "Automotive engine control and hybrid systems: Challenges and opportunities", Proceedings of the IEEE, 통권 : 7, pp.888~912 (2000)
10. A. Balluchi, "Hybrid feedback control for path tracking by a bounded-curvature vehicle, In: Hybrid Systems: Computation and Control, volume 2034, Lecture Notes in Computer Science" (2001), Springer Verlag
11. R. Bellman, "Methods of Nonlinear Analysis, Vol. 2" (1973), Academic Press
12. R. Bellman, "Quasilinearization and Nonlinear Boundary Value Problems" (1965), Amer. Elsevier
13. M. Benchohra, "Impulsive Differential Equations and Inclusions, Contemporary Mathematics and Its Applications", pp.2~ (2006), Hindawi Publishing Corporation
14. J. Chen, "On the solvability of periodic boundary value problems with impulse", Journal of Mathematical Analysis and Applications, 331(2), pp.902~912 (2007)
15. M. Choisy, "Dynamics of infectious diseases and pulse vaccination: teasing apart the embedded resonance effects", Journal of Physics D, 223(1), pp.26~35 (2006)
16. W. Ding, "Periodic boundary value problem for the second-order impulsive functional differential equations", Computers & Mathematics with Applications, 50(3), pp.491~507 (2005)
17. V. Doddaballapur, "Quadratic Convergence of approximate solutions of two-point boundary value problems with impulse, Proceedings of the Third Mississippi State Conference on Difference Equations and Computational Simulations (Mississippi State, MS, 1997)", Electron. J. Differ. Equ. Conf., 통권 : 1, pp.81~95 (1998), Southwest Texas State Univ.
18. A. d’Onofrio, "On pulse vaccination strategy in the SIR epidemic model with vertical transmission", Applied Mathematics Letters, 18(7), pp.729~732 (2005)
19. P. Egbunonu, "Identification of switched linear systems using subspace and integer programming techniques", Nonlinear Analysis: Hybrid Systems, 1(4), pp.577~592 (2007)
20. P. W. Eloe, "Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions", Applied Mathematics Letters, 18(5), pp.521~527 (2005)
21. P. W. Eloe, "Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions", Electronic Journal of Qualitative Theory of Differential Equations, (10), pp.1~14 (2002)
22. P. Eloe, "The method of quasilinearization and a three-point boundary value problem", Journal of the Korean Mathematical Society, 39(2), pp.319~330 (2002)
23. P. W. Eloe, "A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 33(5), pp.443~453 (1998)
24. S. Engell, "Lecture Notes In Control and Information Sciences; Modelling, Analysis and Design of Hybrid Systems" (2002), Springer Verlag
25. S. Engell, "Continuous-discrete interactions in chemical process plants", Proceedings of the IEEE, 통권 : 7, pp.1050~1068 (2000)
26. S. Gao, "Analysis of a delayed epidemic model with pulse vaccination and saturation incidence", Vaccine, 24, pp.6037~6045 (2006)
27. C. P. Gupta, "A second order m-point boundary value problem at resonance", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 24(10), pp.1483~1489 (1995)
28. C. P. Gupta, "A priori estimates for the existence of a solution for a multi-point boundary value problem", Journal of Inequalities and Applications, 5(4), pp.351~365 (2000)
29. I. T. Kiguradze, "On certain boundary value problems for secondorder linear ordinary differential equations with singularities", Journal of Mathematical Analysis and Applications, 101(2), pp.325~347 (1984)
30. B. Krogh, "Hybrid Systems: Computation and Control, Lecture Notes in Computer Science, Vol. 1790" (2000), Springer Verlag
31. V. Lakshmikantham, "An extension of the method of quasilinearization", Journal Optimization Theory & Applications, 82(2), pp.315~321 (1994)
32. V. Lakshmikantham, "Further improvement of generalized quasilinearization method", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 27(2), pp.223~227 (1996)
33. V. Lakshmikantham, "Theory of Impulsive Differential Equations" (1989), World Scientific
34. V. Lakshmikantham, "Generalized Quasilinearization for Nonlinear Problems" (1998), Kluwer Academic Publishers
35. V. Lakshmikantham, "Generalized quasilinearization versus Newton’s method", Applied Mathematics and Computation, 164(2), pp.523~530 (2005)
36. X. Liu, "Advances in Impulsive Differential Equations", Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 9(3), pp.313~462 (2002)
37. J. Lygeros, "A verified hybrid controller for automated vehicles", IEEE Transactions on Automatic Control, 43(4), pp.522~539 (1998)
38. V. B. Mandelzweig, "Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs", Computer Physics Communications, 141(2), pp.268~281 (2001)
39. D. L. Pepyne, "Optimal control of hybrid systems in manufacturing", Proceedings of the IEEE, 통권 : 7, pp.110~1123 (2000)
40. Y. V. Rogovchenko, "Impulsive evolution systems: main results and new trends", Dynamics of Continuous Discrete and Impulsive Systems, 3(1), pp.57~88 (1997)
41. A. M. Samoilenko, "Impulsive Differential Equations" (1995), World Scientific Publishing Co., Inc.
42. S. Tang, "Density-dependent birth rate, birth pulses and their population dynamic consequences", Journal of Mathematical Biology, 44(2), pp.185~199 (2002)
43. C. Tomlin, "Conflict resolution for air traffic management: a study in multiagent hybrid systems", IEEE Transactions on Automatic Control, 43(4), pp.509~521 (1998)
44. F. Vaandrager, "Hybrid Systems: Computation and Control, Lecture Notes in Computer Science, Vol. 1569" (1999), Springer Verlag
45. P. Varaiya, "Smart cars on smart roads: problems of control", IEEE Transactions on Automatic Control, 38(2), pp.195~207 (1993)
46. I. Yermachenko, "Quasilinearization and multiple solutions of the Emden-Fowler type equation", Mathematical Modelling and Numerical Analysis, 10(1), pp.41~50 (2005)
47. S. T. Zavalishchin, "Dynamic Impulse Systems, Theory and applications. Mathematics and its Applications", pp.394~ (1997), Kluwer Academic Publishers Group

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