Author: Миратоев, З.М.

Annotation: This article considers a non-standard boundary value problem for a non-linear equation that has a wide range of applications in various fields of science and technology. The object of study is a non-local boundary value problem that differs from traditional problems by the presence of non-standard conditions on the boundary of the domain. The main goal of the work is to study the existence and properties of solutions to this non-linear boundary value problem, as well as to develop effective methods for their numerical solution.

Keywords: Nonlocal boundary value problem, Nonclassical equation, Nonlinear equation, Boundary value problem with nonstandard conditions, Existence and uniqueness of solutions, Numerical solution methods, Stability of solutions, Analysis of mathematical formulation.

Pages in journal: 234 - 238