INCORRECT PROBLEM FOR AN ABSTRACT BICALORIC EQUATION

Authors

  • Egamberdiev Olimjon Mamatvalievich Associate Professor Namangan Engineering Construction Institute., Namangan, Uzbekistan

Keywords:

Bicaloric equation, Hilbert space, self-adjoint operator, theorem, logarithmic convexity, stability assessment.

Abstract

This study explores solutions to an abstract bicaloric equation, integrating the concepts of a Hilbert space and a self-adjoint operator, coupled with the caloric equation. The article establishes a crucial theorem that establishes a link between solutions to the bicaloric equation and the caloric equation. It further streamlines the problem by transforming it into related equations. The focus of this investigation is primarily on assessing the correctness and stability of these solutions. The logarithmic convexity method is employed to substantiate the findings and conclusions of the study.

References

Lavrentyev. MM. Ill-posed problems for differential equations. Novosibirsk: NSU Publishing House, 1981, 71 p.

O. Egamberdiev. “The Cauchy problem for an abstract polycolor equation.” DAN RUz. 2011. No. 6. 18-20 pp.

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Published

2023-07-31

How to Cite

Egamberdiev Olimjon Mamatvalievich. (2023). INCORRECT PROBLEM FOR AN ABSTRACT BICALORIC EQUATION. INTERNATIONAL JOURNAL OF RESEARCH IN COMMERCE, IT, ENGINEERING AND SOCIAL SCIENCES ISSN: 2349-7793 Impact Factor: 6.876, 17(07), 20–23. Retrieved from https://www.gejournal.net/index.php/IJRCIESS/article/view/1977

Issue

Vol. 17 No. 07 (2023): International Journal of Research in Commerce, IT, Engineering, and Social Sciences

Section

Articles