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Journals / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 1

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

Kamal N. SOLTANOV
Pages
9–24
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

In particular, a solvabil- ity theorem of the mixed problem for a nonlinear hyperbolic equation is proved, and one Nirenberg problem is studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We investigate the description of the image of a continuous mappings acting in a Banach space, and the solvability of equations and inclu- sions.
📊
Key Findings & Data:The results obtained can be applied to the Cauchy problem for a nonlinear differential equation (or inclusion).
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Conclusion & Impact:In particular, a solvabil- ity theorem of the mixed problem for a nonlinear hyperbolic equation is proved, and one Nirenberg problem is studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

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Cite This Article

SOLTANOV, K. N. (2022). On semi-continuous mappings, equations and inclusions in a Banach space. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 1, 9–24. https://ajindex.com/articles/530714

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