Combining the interval extension of function with the perturbation theory of dynamic response, the method for interval dynamic response analysis is derived.
In addition, ( u ∗ ( x, 0 ), u ∗ ( x, 0 ) ) are also the fixed points of the Poincare mapping P T. Using the method similar to that in [22], we can prove that the even extension of function u ∗ ( x, t ), which is the solution of problem (1.1 - 1.4 1.1 - 1.4tial value u ∗ ( x, 0 ), is just the nontrivial nonnegative periodic solution of problem (1.1)-(1.3).
Differential forms are extensions of functions in.
Differential forms are extensions of functions in ℝ n.
Differential forms as the extensions of functions have been rapidly developed.
In recent years, differential forms as the extensions of functions have been rapidly developed.
The differential forms are extensions of functions and can be used to describe various systems of PDEs, physics, theory of elasticity, quasiconformal analysis, etc.
We consider positive definite extensions of functions and distributions which are defined on a cylindrical neighborhood (and positive definite) in the Heisenberg group.
As extensions of functions, differential forms have been deeply studied and widely applied in many fields, such as global analysis, nonlinear analysis, PDEs and differential geometry; see [1 10] for more information.
Differential forms are extensions of functions and can be used to describe various systems in partial differential equations (or PDEs), physics, theory of elasticity, quasiconformal analysis, etc. Differential forms have become invaluable tools for many fields of sciences and engineering; see [1, 2] for more details.
