We prove that the initial phase difference Ψ plays an important role in suppressing or inducing chaos in complex systems.
The function will be a solution to the mixed problem (3.9) after proving that the initial condition is satisfied.
The post-wrinkling behavior is also considered to prove that the initial pattern of wrinkles is not affected.
Generally the obtained results proved that the initial debonding pattern and stiffeners arrangement have a crucial effect on the bending behavior of the structure.
We prove that the initial boundary value problem of the incompressible two-dimensional Euler equations admits a unique solution and discuss the stability of the solution.
The simulation results prove that, the initial growth stage of a 10 nm single hemispherical silver nucleus always starts under kinetic control, regardless of concentration and electrode potential.
In [20], the authors proved that the initial multidimensional fixed point result, Theorem 9 in [11], can be derived from Theorem 2.1 in [21] either.
We prove that the initial trace is an outer regular Borel measure which may not be locally bounded for some values of the parameters p and q.
It is proved that the initial prototype can not only self-sustain an equilibrium pressure for more than 2 months without power but also withstand the mechanical vibration test and space environment simulation test.
Under some assumption for the nonlinear terms and a priori estimates in Section 3, we prove that the initial value problem (2.8) of the nonlinear ordinary differential equations has global solutions in the interval ([0,T]).
