Problem with shifts in interior characteristics for equations of mixed elliptic-hyperbolic type with a singular coefficient

We consider a problem with local shift conditions on a segment of the degeneration line and with shifts in interior characteristics of the equation. The uniqueness of the solution is proved with the use of the extremum principle. To prove the existence of a solution, we apply the theory of singular...

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Bibliographic Details
Published inDifferential equations Vol. 49; no. 8; pp. 986 - 995
Main Author Ruziev, M. Kh
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.08.2013
Springer Nature B.V
Subjects
Coefficients
Difference and Functional Equations
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
Nonlocal Problem
Unbounded Domain
Singular Integral Equation
Extremum Principle
Fredholm Integral Equation
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Summary:We consider a problem with local shift conditions on a segment of the degeneration line and with shifts in interior characteristics of the equation. The uniqueness of the solution is proved with the use of the extremum principle. To prove the existence of a solution, we apply the theory of singular integral equations and Fredholm integral equations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266113080077