Conditional correctness of boundary-value problem for a composite fourth-order differential equation

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• 作者：K. S. Fayazov (1)
  I. O. Khazhiev (1)
  
  1. National University of Uzbekistan ; ul. Universitetskaya 1 ; Vuzgorodok ; Tashkent ; 100174 ; Republic of Uzbekistan
  
• 关键词：ill ; posed boundary ; value problem ; mixed ; composite type equation ; conditional stability ; set of correctness ; a priori estimate
• 刊名：Russian Mathematics (Iz VUZ)
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：59
• 期：4
• 页码：54-62
• 全文大小：483 KB
• 参考文献：1. Pulkin, I S (2006) Gevrey Problem for Parabolic Equations with Changing Time Direction. Electronic J. Diff. Equat., No. 50. pp. 1-9
  2. Kislov, N V (1984) Nonhomogeneous Boundary-Value Problems for Operator-Differential Equations of Mixed Type and Their Applications. Mat. Sb. (N. S.) 125167: pp. 19-37
  3. Lavrent鈥檈v, M M, Savel鈥檈v, L Ya (1991) Linear Operators and Ill-Posed Problems. Nauka, Moscow
  4. Fayazov, K S (1995) Ill-Posed Boundary-Value Problem for a Second-Order Mixed-Type Equation. Uzbekskii Matem. Zhurnal, No. 2.
  5. Yanenko, N N, Novikov, V A (1973) About a Model of Liquid with Alternating Viscosity Coefficient. Numerical Methods of Continuous Mechanics 4: pp. 142-147
  6. Bukhgeim, A L (1988) Introduction to Theory of Inverse Problems. Nauka, Novosibirsk
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-810X

文摘

In this paper we investigate the uniqueness and the conditional stability of a solution to ill-posed boundary-value problem for an equation of mixed-composite type. We give proofs of uniqueness and conditional stability of a solution on a correctness set.