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Impulsive differential equations with initial data difference

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Języki publikacji
EN
Abstrakty
EN
In this paper, we present some results on impulsive differential inequalities and equations with initial and impulsive data difference.
Rocznik
Strony
55--69
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
Bibliografia
  • [1] B. Ahmed, Integro-differential equations with initial time difference, Dynam. Systems Appl. 16(2007), no.3, 497-506.
  • [2] Jun Yan Bao, Chun Xia Gao, Xian Wang, Boundedness of differential equations with initial time difference, Math. Practice Theory 38(2008), 215-218.
  • [3] T. Jankowski, Delay integro-differential inequalities with initial time difference and applications, J. Math. Anal. Appl. 291(2004), 605-624.
  • [4] T. Jankowski, Systems of differential inequalities with initial time difference, Ukra¨in. Math. Zh. 56(2004), no.I, 139-145.
  • [5] T. Jankowski, Quadratic convergence of monotone iterations for differential equations with initial time difference, Dynam. Systems Appl. 14(2005), no. 2, 245-251.
  • [6] T. Jankowski, Delay differential inequalities with initial time difference, Proceedings of Neural, Parallel, and Scientific Computations Vol.3, 82-88, Dynamic, Atlanta, GA, 2006.
  • [7] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of impulsive differential equations, World Scientific Publishing, (1989).
  • [8] V. Lakshmikantham, S. Leela, Differential and integral inequalities, vol.I, Academic Press (1969).
  • [9] V. Lakshmikantham, S. Leela, J. Vasundhara Devi, Another approach to the theory of differential inequalities relative to changes in the initial times, J. Inequal. Appl. 4 (1999), 163-174.
  • [10] V. Lakshmikantham, A.S. Vatsala, Differential inequalities with initial time difference and applications, J. Inequal. Appl. 3 (1999), 233-244.
  • [11] M.D. Shaw, C. Yakar, Generalized variation of parameters with initial time difference and a comparison result in terms Lyapunov like functions, International Journal of Non-Linear Differential Equations 5(1999), 86-108.
  • [12] L. Skóra, Remarks on first order impulsive ordinary differential equations with anti-periodic boundary conditions, Fasciculi Mathematici 36 (2005), 103-108.
  • [13] L. Skóra, Monotone iterative method for differential systems with impulses and anti-periodic boundary condition, Ann. Soc. Math. Polon., Series I: Commentationes Mathematicae XLII (2) (2002), 237-249.
  • [14] Xinyu Song, Senlin Li, An Li, Practical stability of nonlinear differential equation with initial time difference, Appl. Math. Comput. 203(2008), 157-162.
  • [15] Xinyu Song, An Li, Zhixiang Wang, Study on the stability of nonlinear differential equations with initial time difference, Nonlinear Anal. Real World Appl. 11(2010), 1304-1311.
  • [16] Y. Zhang, B. Zhang, Impulsive differential equations with initial time difference and applications, Dyn. Contin. Discrete Impuls. Syst. Ser. A, Math. Anal. 9 (2002), 439-447.
  • [17] Y. Zhang, Yi Zhang, Theory of functional differential equation with initial data difference, Dynamic Systems and Applications 10 (2001), 523-532.
  • [18] C. Yakar, Variation-of-parameters formulae and Lipschitz stability criteria for nonlinear matrix differential equations with initial time difference, Differential & difference equations and applications, 1201-1216, Hindawi Publ. Corp., New York, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0012-0013
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