Similar results were obtained using the potential drop method.
By using the potential well method, we first prove the global existence.
end{aligned} (1.2) In 1968, Sattinger [1] studied the existence of global weak solutions of (1.2) by using the potential well method.
Liang et al. [18] evaluated the mesh stiffness of gears with multiple pits on a single tooth using the potential energy method.
They proved that solutions with positive initial energy blow up in finite time using the potential well method introduced by Payne and Sattinger [14].
The Fig. 10 shows the results of using the potential drop method in the process of specimen loading in series of 106 cycles after its coming out of the resonance frequency range during the main test.
It is further demonstrated that a simple form 2-D Green's function for saturated porous media can be been obtained using the potential decomposition method.
By using the potential well method [6 9] and introducing a new stable set we show that if the initial data satisfy some conditions, then the corresponding local weak solution with arbitrarily positive initial energy exists globally.
was studied, and by using the potential well method, the global existence of weak solution was proved under some assumptions on nonlinear functions σ i ( s ), f ( s ), g ( s ) and the initial data.
By using the potential function method and Hankel transform, this problem is formulated as the solution of a system of dual integral equations which are reduced to a Fredholm integral equation of the second kind.
