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Volume 27, Issue 4
Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain

O. Kh Abdullayev

DOI: 10.4208/jpde.v27.n4.1

J. Part. Diff. Eq., 27 (2014), pp. 283-292.

Published online: 2014-12

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  • Abstract
In the present paper an existence and uniqueness of solution of the nonlocal boundary value problem for the third order loaded elliptic-hyperbolic type equation in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.
  • Keywords

Loaded equation elliptic-hyperbolic type double-connected domain an extremum principle existence of solution uniqueness of solution method of integral equations

  • AMS Subject Headings

35M10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

obidjon.mth@gmail.com (O. Kh Abdullayev)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-283, author = {Abdullayev , O. Kh}, title = {Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {4}, pages = {283--292}, abstract = { In the present paper an existence and uniqueness of solution of the nonlocal boundary value problem for the third order loaded elliptic-hyperbolic type equation in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/5143.html} }
TY - JOUR T1 - Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain AU - Abdullayev , O. Kh JO - Journal of Partial Differential Equations VL - 4 SP - 283 EP - 292 PY - 2014 DA - 2014/12 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/5143.html KW - Loaded equation KW - elliptic-hyperbolic type KW - double-connected domain KW - an extremum principle KW - existence of solution KW - uniqueness of solution KW - method of integral equations AB - In the present paper an existence and uniqueness of solution of the nonlocal boundary value problem for the third order loaded elliptic-hyperbolic type equation in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.
Abdullayev , O. Kh. (2014). Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain. Journal of Partial Differential Equations. 27 (4). 283-292. doi:10.4208/jpde.v27.n4.1
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