The phrase "a singular solution of" is correct and usable in written English.
It can be used in mathematical or scientific contexts to refer to a unique solution to a problem or equation.
Example: "In this case, we found a singular solution of the differential equation that satisfies all boundary conditions."
Alternatives: "a unique solution to" or "one specific solution for".
In order to avoid a singular solution, the dimension of the structure for a given topology is kept unchanged in the optimization process by giving the member to be removed a tiny sectional area.
So Einstein proposed that the path of a singular solution, like a black hole, would be determined to be a geodesic from general relativity itself.
We deal with the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term for, and in.
Especially, he discovered that the singular solution of the nonlinear Schrödinger equation with an attractive potential blows up earlier than the one without potential.
Topics include generalized vector space theory, linear operator theory with eigenvalue methods, phase plane methods, perturbation theory (regular and singular), solution of parabolic and elliptic partial differential equations, and transform methods (Laplace and Fourier).
In this paper, we have presented monotone sequences of approximate solutions converging uniformly and quadratically to a unique solution of a nonlocal singular boundary value problem involving second-order integro-differential equations in weighted spaces.
It is based on a splitting of the space of solutions in a regular subspace, and a singular one, derived from the singular solutions of the Laplace problem.
In this paper, in order to develop a method which overcomes this difficulty, the singular solutions of isotropic and anisotropic Helmholtz-type equations with homogeneous Dirichlet and/or Neumann boundary conditions in the neighbourhood of a singular point are derived.
This class of differential equations has received all this attention, because it arises in the study of linear or nonlinear processes, including, for example, singular solutions of stationary or evolutionary equations, concentration of singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equations with convection and singular potential.
Singular solutions of the related equation systems will be derived for situations involving components with very low or null transmissivity.
