A note on the solvability of homogeneous Riemann boundary problem with infinity index
نویسندگان
چکیده
Abstract In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on rectifiable open curve. The deal considers influence requirement solutions problem, degree non-smoothness curve at endpoints as well behavior coefficient these points.
منابع مشابه
Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملA Note on the Riemann Problem
We analize the structure of the general solution of the Riemann problem for a striclty hyperbolic system of conservation laws whose characteristic elds are neither genuinely non-linear nor linearly degenerate in the sense of Lax.
متن کاملA note on unique solvability of the absolute value equation
It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix...
متن کاملA Note on Polynomial Solvability of the CDT Problem
Recent research has focused on the complexity of extensions of the classical trust-region subproblem, which addresses the minimization of a quadratic function over a unit ball in Rn, a problem of importance in many applications. Even though the trust-region subproblem can be considered well-solved (both from the perspective of theory and implementation) even minor extensions are NP-hard. The CD...
متن کاملSolvability of an impulsive boundary value problem on the half-line via critical point theory
In this paper, an impulsive boundary value problem on the half-line is considered and existence of solutions is proved using Minimization Principal and Mountain Pass Theorem.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematics
سال: 2021
ISSN: ['2336-1298', '1804-1388']
DOI: https://doi.org/10.2478/cm-2021-0033