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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 94 of 98

  1. This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and t...

    Authors: Thabet Abdeljawad (Maraaba), Fahd Jarad and Dumitru Baleanu
    Citation: Advances in Difference Equations 2009 2009:840386
  2. By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existenc...

    Authors: Meiqiang Feng, Xuemei Zhang, Xianggui Li and Weigao Ge
    Citation: Advances in Difference Equations 2009 2009:737461
  3. We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of per...

    Authors: Dongmei Chen, Xianyi Li and Yanqin Wang
    Citation: Advances in Difference Equations 2009 2009:235691
  4. We consider special basic difference equations which are related to discretizations of Schrödinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids...

    Authors: Andreas Ruffing, Maria Meiler and Andrea Bruder
    Citation: Advances in Difference Equations 2009 2009:569803
  5. In this paper we study the boundedness, the persistence, the attractivity and the stability of the positive solutions of the nonlinear difference equation http://static-content.springer.com/image/art%3A10.1155%2F2009%2F327649/MediaObjects/13662_2009_Article_1184_IEq2_HTML.gif

    Authors: C. J. Schinas, G. Papaschinopoulos and G. Stefanidou
    Citation: Advances in Difference Equations 2009 2009:327649
  6. We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: http://static-content.springer.com/image/art%3A10.1155%2F2009%2F618463/MediaObjects/13662_2008_Article_1209_IEq1_HTML.gif , ...

    Authors: M. Eshaghi Gordji and M. Bavand Savadkouhi
    Citation: Advances in Difference Equations 2009 2009:618463
  7. Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corr...

    Authors: Wei Nian Li
    Citation: Advances in Difference Equations 2009 2009:484185
  8. Properties of http://static-content.springer.com/image/art%3A10.1155%2F2009%2F956910/MediaObjects/13662_2009_Article_1234_IEq2_HTML.gif -extensions of Euler numbers and polynomials which generalize those satisfied by http://static-content.springer.com/image/art%3A10.1155%2F2009%2F956910/MediaObjects/13662_2009_Article_1234_IEq3_HTML.gif ...

    Authors: Taekyun Kim, Kyung-Won Hwang and Byungje Lee
    Citation: Advances in Difference Equations 2009 2009:956910
  9. By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales w...

    Authors: Da-Bin Wang and Wen Guan
    Citation: Advances in Difference Equations 2009 2009:830247
  10. We study discrete almost automorphic functions (sequences) defined on the set of integers with values in a Banach space http://static-content.springer.com/image/art%3A10.1155%2F2009%2F591380/MediaObjects/13662_2009_Article_1206_IEq1_HTML.gif . Given a bounded linear...

    Authors: Daniela Araya, Rodrigo Castro and Carlos Lizama
    Citation: Advances in Difference Equations 2009 2009:591380

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