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.
Banach space Strictly convex norm Multivalued mapping Solvability and fixed-point theorems Differential equations and inclusions
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 2008 |
Yayımlandığı Sayı | Yıl 2008 Cilt: 37 Sayı: 1 |