ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE

Soltanov K. N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.37, no.1, pp.9-24, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 1
  • Publication Date: 2008
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.9-24
  • Hacettepe University Affiliated: No

Abstract

We investigate the description of the image of a continuous mappings acting in a Banach space, and the solvability of equations and inclusions. The results obtained can be applied to the Cauchy problem for a nonlinear differential equation (or inclusion). In particular, a solvability theorem of the mixed problem for a nonlinear hyperbolic equation is proved, and one Nirenberg problem is studied.