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

Kamal N. Soltanov

Research Article

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

Year 2008, Volume: 37 Issue: 1, 9 - 24, 01.01.2008

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.

Keywords

Banach space, Strictly convex norm, Multivalued mapping, Solvability and fixed-point theorems, Differential equations and inclusions

References

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Year 2008, Volume: 37 Issue: 1, 9 - 24, 01.01.2008

Kamal N. Soltanov

Abstract

References

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Kamal N. Soltanov This is me
Publication Date	January 1, 2008
Published in Issue	Year 2008 Volume: 37 Issue: 1

Cite

APA	Soltanov, K. N. (n.d.). ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics, 37(1), 9-24.
AMA	Soltanov KN. ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics. 37(1):9-24.
Chicago	Soltanov, Kamal N. “ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics 37, no. 1 n.d.: 9-24.
EndNote	Soltanov KN ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics 37 1 9–24.
IEEE	K. N. Soltanov, “ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 1, pp. 9–24.
ISNAD	Soltanov, Kamal N. “ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics 37/1 (n.d.), 9-24.
JAMA	Soltanov KN. ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics.;37:9–24.
MLA	Soltanov, Kamal N. “ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 1, pp. 9-24.
Vancouver	Soltanov KN. ON SEMI-CONTINUOUS MAPPINGS, EQUATIONS AND INCLUSIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics. 37(1):9-24.