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Inspired by the method of fixed point theory, which is widely used in the discussion of hybrid stochastic heat equations, in this paper, we are concerned with the stability problem for a class of hybrid stochastic fourth-order parabolic equations.

A frequency domain design method of fixed structure multivariable PID controllers that satisfy the performance index of the standard H∞ control problem with the LMI (linear matrix inequality) constraints of the PID gains is proposed.

More specifically, we used the method of fixed points to study the asymptotic stability in [8] and employed a technique of Bohl-Perron type theorems to obtain the sufficient conditions for the exponential stability in [9].

In [6], under the spectral separation conditions of a selfadjoint operator, Li studied the existence and uniqueness of periodic solutions for semilinear evolution equations in Hilbert spaces by using the method of fixed point theorems.

In this paper, we show that the hypothesis on Banach algebras being weakly commutative and weakly without order in [16] can be eliminated, and prove the superstability of quadratic double centralizers and quadratic multipliers on a Banach algebra by a method of fixed point.

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The chief commercial method of fixing nitrogen (incorporating elemental nitrogen into compounds) is the Haber-Bosch process for synthesizing ammonia.

These woods work best with stainless steel screws that minimise the amount of warp in the length of each board as they dry out, but this method of fixing is also more costly.

Assigned to the French Office of Inventions during World War I, he helped devise the Cotton Weiss acoustical method of fixing enemy artillery positions.

The method of fixing the energy absorber to the fascia and bumper was also studied.

The formation of oriented crystals during subsequent heating, and the evolution of the phase fractions (crystal, mobile amorphous, and constrained amorphous) with temperature, were investigated as to their dependence upon the method of fixing the ends of the fibers.

The length of the bolts and method of fixing the steel plates, in which connectors were driven either during concrete casting or after hardening, had little influence on the ultimate strength.

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