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The Monte Carlo simulation has been applied to discuss the step effect on a zigzag graphene nanoribbon structure in a longitudinal magnetic field.
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Besides, the passivity theory is applied to discuss the effect of external disturbance on system.
The result of this paper can be applied to discuss on boundedness and uniqueness for a integrodifferential equation.
The result in Theorem 2.2 can be applied to discuss the boundary problem of stochastic Hamiltonian systems with Poisson process.
Since then the variational methods are applied to discuss the existence of solutions for fractional differential equations.
A formula for the spin-dependent current is obtained and is applied to discuss the transport properties.
Because the first part of ψ is indefinite, the dual least process is applied to discuss the existence of the periodic solutions of (4).
These results will be applied to discuss the existence of the solution of system (2) with initial and boundary value problem.
Then the orthogonal Design of Experiment method is applied to discuss the effect law of fracture characteristics for the longitudinal crack affected by the multiple loading parameters simultaneously.
An analytical solution is given for the special case of ideal random copolymerizations, and numerical calculations are applied to discuss non-ideal situations.
Especially, the estimates obtained in this paper can be applied to discuss the properties of solutions of the fractional Schrödinger equation, the fourth-order Schrödinger equation and the beam equation.
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