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

Soltanov K. N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.37, sa.1, ss.9-24, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2008
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.9-24
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

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.