In addition to the principle of sub-supersolution, we shall establish also a generalization of Theorem 2.1 of [3].
In this section, we give a general principle of sub-supersolution method for the problem (1.1) based on the regularity results and the comparison principle.
In this section we give a general principle of sub-supersolution method for the problem P λ f based on the regularity results and the comparison principle.
In Section 3, we establish a general principle of sub-supersolution method for the problem P λ f based on the regularity results.
A finite element model of a free-standing LP blade is developed using the principle of sub-structuring which enables the vibration characteristics and transient stress response of the blade to be determined for variations in blade damping.
While the principle of sub-grouping is being utilised in all of these trials, each targets different subgroups, different treatment protocols and different populations to ours.
The system is based on the principles of sub-surface flow constructed wetlands using various types of Filtralite as filter media.
Characterizations of the maximum principle for sub(super)harmonic functions are considered in [14], as follows.
In Section 2, we establish a general principle of the sub-supersolution method for the problem (1.1) based on the regularity results and the comparison principle.
The above results show that the general principle of the sub-supersolution method for p ( x ) -Kirchhoff type equations (1.1) is of the same type as in the case of p ( x ) -Laplacian type equations.
It is easy to see that if u is a subsolution (respectively a supersolution) of (1.1), then u ≤ T ( u ) (respectively u ≥ T ( u ) ), and u is a solution of (1.1) if and only if u = T ( u ), i.e., u is a fixed point of T. The basic principle of the sub-supersolution method for (1.1) is the following result.
