ACADEMICIA: An International Multidisciplinary Research Journal
  • Year: 2021
  • Volume: 11
  • Issue: 3

A graph in the form of a triangle with attached outgoing edges at each vertex

*Physical and Mathematical Science, YEOJU Technical Institute in Tashkent, Uzbekistan

1Email id: maqsad.ahmedov@mail.ru

Online published on 15 May, 2021.

Abstract

We study one incoming, two outgoing and triangle graphs for the equation of linear KdV. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.

Keywords

Third Order PDE, Boundary Value Problem, Method Of Energy Integrals, Method Of Potentials, Initial Condition, Boundary Condition, Integral Equation