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

Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain

Authors

M. Kh. Ruziev Institute of Mathematics, Academy of Science of the Republic of Uzbekistan, Mirzo Ulugbek str. 81, 100170 Tashkent, Uzbekistan

DOI:

https://doi.org/10.4208/jpde.v27.n2.8

Keywords:

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

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.

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Published

2014-06-10

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Issue

Vol. 27 No. 2 (2014)

Section

Articles

How to Cite

Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain. (2014). Journal of Partial Differential Equations, 27(2), 176-188. https://doi.org/10.4208/jpde.v27.n2.8