•  
  •  
 

Acta of Turin Polytechnic University in Tashkent

Abstract

In this work, we study boundary value problem for nonhomogeneous mixed-type equation with two degenerate lines. A priori estimate for the solution of the problem is obtained, theorems of uniqueness and conditional stability in the set of correctness are proved. The approximate solution by the regularization method has been constructed.

First Page

12

Last Page

18

References

  1. Fayazov K. S., An ill-posed boundary-value problem for a second order mixed type equation, UzMat Journal. 1995. №2. P. 89-93.
  2. Fayazov K.S., Khazhiev I.O.,Conditional stability of a boundary value problem for a system abstract differential equations of the second order with operator coefficients,Uzbek Mathematical Journal, (2017),№2. P. 145-155.
  3. Fayazov K.S., Khudayberganov Y.K., Ill-posed boundary value problem for a mixed type equation with two degenerate lines, Uzbek Mathematical Journal,(2018),№2.P 32-42.
  4. Kozhanov A.I., Composite Type Equations and Inverse Problems,Utrecht:VSP 1999
  5. Lavrent’ev M. M. and Savelyev L. Ya., Theory of operators and ill-posed problems, -2 th ed., Pererab. and add. Novosibirsk:Published by Institute of Mathematics, 2010. P.941.
  6. Pyatkov S. G., On the solvability of a boundary value problem for a parabolic equation with a changing time direction, Dokl. Acad. Sciences of the USSR.1985. T. 285, №6.P.1322-1327.
  7. Gimaltdinova A. A., The Dirichlet problem for a mixedtype equation with two perpendicular lines of transition in a rectangular region, 2014. 19 (190). Edition. 36.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.