Approximation and optimization of higher order discrete and differential inclusions


Mahmudov E.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, cilt.21, sa.1, ss.1-26, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s00030-013-0234-1
  • Dergi Adı: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
  • Sayfa Sayıları: ss.1-26

Özet

This paper is mainly concerned with the necessary and sufficient conditions of optimality for Cauchy problem of higher order discrete and differential inclusions. Applying optimality conditions of problems with geometric constraints, for arbitrary higher order (say s-order) discrete inclusions optimality conditions are formulated. Also some special transversality conditions, which are peculiar to problems including third order derivatives are formulated. Formulation of sufficient conditions both for convex and non-convex discrete and differential inclusions are based on the apparatus of locally adjoint mappings. Furthermore, an application of these results is demonstrated by solving the problems with third order linear discrete and differential inclusions.