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Volume 27, Issue 2
Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain

M. Kh. Ruziev

DOI: 10.4208/jpde.v27.n2.8

J. Part. Diff. Eq., 27 (2014), pp. 176-188.

Published online: 2014-06

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  • Abstract
In this paper, we study the boundary-value problem for mixed type equation with singular coefficient. We prove the unique solvability of the mentioned problem with the help of the extremumprinciple. The proof of the existence is based on the theory of singular integral equations, Wiener-Hopf equations and Fredholm integral equations.
  • Keywords

Extremum principle infinite domain non-local problem mixed type equation Cauchy problem Darboux formula integral equations

  • AMS Subject Headings

35M10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ruzievmkh@gmail.com (M. Kh. Ruziev)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-176, author = {Ruziev , M. Kh.}, title = {Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {2}, pages = {176--188}, abstract = { In this paper, we study the boundary-value problem for mixed type equation with singular coefficient. We prove the unique solvability of the mentioned problem with the help of the extremumprinciple. The proof of the existence is based on the theory of singular integral equations, Wiener-Hopf equations and Fredholm integral equations.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n2.8}, url = {http://global-sci.org/intro/article_detail/jpde/5135.html} }
TY - JOUR T1 - Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain AU - Ruziev , M. Kh. JO - Journal of Partial Differential Equations VL - 2 SP - 176 EP - 188 PY - 2014 DA - 2014/06 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n2.8 UR - https://global-sci.org/intro/article_detail/jpde/5135.html KW - Extremum principle KW - infinite domain KW - non-local problem KW - mixed type equation KW - Cauchy problem KW - Darboux formula KW - integral equations AB - In this paper, we study the boundary-value problem for mixed type equation with singular coefficient. We prove the unique solvability of the mentioned problem with the help of the extremumprinciple. The proof of the existence is based on the theory of singular integral equations, Wiener-Hopf equations and Fredholm integral equations.
M. Kh. Ruziev. (2019). Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain. Journal of Partial Differential Equations. 27 (2). 176-188. doi:10.4208/jpde.v27.n2.8
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