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Tytuł artykułu

Existence of different kind of solutions for discrete time equations

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to extend the classical linear condition concerning diagonal dominant bloc matrix to fully nonlinear equations. Even if assumptions are strong, we obtain an explicit condition which exactly extend the one known in linear case, and the setting allows also to consider bicontinuous operator instead of the schift and as particular case, we receive periodic or almost periodic solutions for discrete time equations.
Wydawca
Rocznik
Tom
1
Numer
1
Opis fizyczny
Daty
otrzymano
2013-12-29
zaakceptowano
2014-05-11
online
2014-08-15
Twórcy
  • Université Paris 1 Panthéon-Sorbonne, Laboratoire SAMM, Centre PMF, 90 rue de Tolbiac, 75634 PARIS Cedex 13, France, pennequi@univ-paris1.fr
Bibliografia
  • [1] J. Andres, D. Pennequin. On Stepanov almost-periodic ocillations and their discretizations. J. Difference Eqns Appl. (2011),
  • [2] J. Andres, D. Pennequin. On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations. Proc. Amer. Math. Soc.140 (2012), 2825-2834.[Crossref]
  • [3] J. Blot, B. Crettez. On the smoothness of optimal paths. Decisions in Economics and Finance.27(2004), 1-34, DOI: 10.1007/s10203-004-0042-5[Crossref]
  • [4] J. Blot, B. Crettez. On the smoothness of optimal paths II: some turnpike results. Decisions in Economics and Finance.30 (2004), 137-150, 2004, DOI: 10.1007/s10203-007-0072-x[Crossref]
  • [5] J. Blot, D. Pennequin. Existence and structure results on almost periodic solutions of difference equations.J. Differ. Equa. Appl.7 (2001), 383-402.
  • [6] P. G. Ciarlet, Introduction à l'analyse numérique matricielle età l'optimisation, Masson, Paris, 1994
  • [7] C. Corduneanu, Almost Periodic Functions, Chelsea Publ. Comp., 1989.
  • [8] C. Corduneanu, Almost Periodic Oscillations and Waves, Springer, New-York, 2009.
  • [9] D.G. De Figueiredo, Lectures on the Ekeland variational principle with applications and detours, Tata Institute of fundamental Research, Bombay, 1989
  • [10] C. Kahane. Stability of Solutions of Linear Systems with Dominant Main Diagonal. Proc. Amer. Math. Soc.33 (1972), No. 1 69-71.[Crossref]
  • [11] J.-L. Mauclaire, Intégration et Théorie des Nombres, Hermann, Paris, 1986.
  • [12] D. Pennequin. Notion of WeakVariational Solutions for Almost Periodic or More General Problems. African Diaspora J. Math.15 (2013) no 2,101-110.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_msds-2014-0005
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