On semi-continuous mappings, equations and inclusions in a Banach space

On semi-continuous mappings, equations and inclusions in a Banach space

We investigate the description of the image of a continuous mappings acting in a Banach space, and the solvability of equations and inclu- sions. The results obtained can be applied to the Cauchy problem for a nonlinear differential equation (or inclusion). In particular, a solvabil- ity theorem of...

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Veröffentlicht in:Hacettepe Journal of Mathematics and Statistics 2008, Vol.37 (1), p.9-24
1. Verfasser: SOLTANOV, Kamal N
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Banach uzayı
Continuous mappings
Denklem
Diferansiyel kapsama
Differential inclusion
equation
fixed point[mathematics]
Matematik
Mathematics
Sabit nokta[matematik]
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Zusammenfassung:We investigate the description of the image of a continuous mappings acting in a Banach space, and the solvability of equations and inclu- sions. The results obtained can be applied to the Cauchy problem for a nonlinear differential equation (or inclusion). In particular, a solvabil- ity theorem of the mixed problem for a nonlinear hyperbolic equation is proved, and one Nirenberg problem is studied.
ISSN:1303-5010