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Volume 29, Issue 1
Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain

O. Kh Abdullayev

DOI: 10.4208/jpde.v29.n1.4

J. Part. Diff. Eq., 29 (2016), pp. 36-47.

Published online: 2016-03

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  • Abstract
In this work an existence and uniqueness of solution of the non-local boundary value problemfor the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.
  • Keywords

Loaded equation elliptic-hyperbolic type integral-differential operators doubleconnected domain an extremum principle existence of solution uniqueness of solution method of integral energy 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-29-36, author = {Abdullayev , O. Kh}, title = {Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {1}, pages = {36--47}, abstract = { In this work an existence and uniqueness of solution of the non-local boundary value problemfor the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n1.4}, url = {http://global-sci.org/intro/article_detail/jpde/5077.html} }
TY - JOUR T1 - Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain AU - Abdullayev , O. Kh JO - Journal of Partial Differential Equations VL - 1 SP - 36 EP - 47 PY - 2016 DA - 2016/03 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n1.4 UR - https://global-sci.org/intro/article_detail/jpde/5077.html KW - Loaded equation KW - elliptic-hyperbolic type KW - integral-differential operators KW - doubleconnected domain KW - an extremum principle KW - existence of solution KW - uniqueness of solution KW - method of integral energy KW - integral equations AB - In this work an existence and uniqueness of solution of the non-local boundary value problemfor the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.
Abdullayev , O. Kh. (2016). Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain. Journal of Partial Differential Equations. 29 (1). 36-47. doi:10.4208/jpde.v29.n1.4
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