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Some nonlinear delay discrete inequalities and their applications

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Języki publikacji
EN
Abstrakty
EN
In this paper, we establish some nonlinear delay discrete inequalities which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay difference equations.
Wydawca
Rocznik
Strony
771--782
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
autor
autor
  • Department of Mathematics Binzhou University Shandong 256603, People's Republic of China, wnli@263.net
Bibliografia
  • [1] R. P. Agarwal, Difference Equations and Inequalities,Marcel Dekker Inc., New York, 1997.
  • [2] T. Lü, Y. Huang, A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind, J. Math. Anal. Appl. 282 (2003) 56–62.
  • [3] F. W. Meng, W. N. Li, On some new nonlinear discrete inequalities and their applications, J. Comput. Appl. Math. 158 (2003), 407–417.
  • [4] B. G. Pachpatte, Inequalities for Finite Difference Equations, Marcel Dekker Inc., New York, 2002.
  • [5] B. G. Pachpatte, On some new discrete inequalities useful in the theory of partial finite difference equations, Ann. Differential Equations 12 (1996), 1–12.
  • [6] B. G. Pachpatte, Inequalities applicable in the theory of finite difference equations, J. Math. Anal. Appl. 222 (1998), 438-459.
  • [7] B. G. Pachpatte, Some new finite difference inequalities, Comput. Math. Appl. 28 (1994), 227–241.
  • [8] B. G. Pachpatte, On some fundamental integral inequalities and their discrete analogues, J. Ineq. Pure Appl. Math. 2 (2001), Article 15.[On-line: http://jipam.vu.edu.au/]
  • [9] J. Popenda, R. P. Agarwal, Discrete Gronwall inequalities in many variables, Comput. Math. Appl. 38 (1999), 63–70.
  • [10] E. H. Yang, Generalizations of Pachpatte's integral and discrete inequalities, Ann. Differential Equations 13 (1997), 180–188.
  • [11] E. H. Yang, On some nonlinear and discrete inequalities related to Ou-Iang's inequality, Acta Math. Sinica 41 (1998), 475–480, (in Chinese).
  • [12] E. H. Yang, A new integral inequality with power nonlinear and its discrete analogue, Acta Math. Appl. Sinica 17 (2001), 233–239.
  • [13] E. H. Yang, A new nonlinear discrete inequality and its application, Ann. Differential Equations 17 (2001), 261–267.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0018-0006
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