Finding of Exact Solution to Nonlinear Operator Equation
Authors: Agapov O.A. | Published: 17.10.2013 |
Published in issue: #4(39)/2010 | |
DOI: | |
Category: Mathematics and Mechanics | |
Keywords: operator equations, differential equations, nonlinear differential equations, partial differential equations |
The exact solution is found for the nonlinear operator equation of the form du(r,t)/dt = A[u(r,t)], u : Rn x R+ → R under condition u(r, 0) = φ(r) for operator A infinitely differentiable by Frechet. Examples of solving the Cauchy problems for equations of heat conduction, advection, ordinary differential equation with separable variables, and the Corteweg-de Fries equation.