By means of the monotone iterative technique, the existence of nontrivial solutions or positive solutions is obtained.
By means of the statistical nanoindentation technique, the existence of three micromechanical phases in plain and polymer-modified cement pastes with a water-to-cement mass ratio of 0.40 is evidenced, illustrating that the polymer modification does not induce the formation of additional reaction products.
Some preliminary definitions, lemmas and notations on time scales are given in Section 2. In Sections 3 and 4, by means of lower and upper solutions and monotone iterative technique, the existence of extremal solutions for PBVP (1.3) is proved under two cases: the lower and upper solutions with well-order and with reverse-order, respectively.
With the rise of computer-generated imagery and its accessibility and ever-presence, it's too easy to start lamenting about good-old-fashioned hand-drawn techniques being wiped out of existence.
By applying some new results and the energy estimate technique, the existence of uniform attractors is obtained.
Based on an auxiliary function method and a differential inequality technique, the existence of equilibrium equations is obtained if the angular is bounded and the blow-up occurs in finite time.
If ΔEELV is measured by direct spirometry (pneumotachography, hot wire, or any other technique), the existence of a time-dependent lung derecruitment imposes the requirement to perform the measurement immediately after a PEEP releasing maneuver.
As a modification of previous designs, the bi-boundary conditions are proposed in the inverse technique for the existence of the ultrasound aperture.
To apply the variational method with the iterative technique to the existence of solutions for BVP (1.2), we shall state some basic notations and results, which will be used in the proof of our main result.
In order to enlarge the set of boundary value problems on time scales, for which we can use the lower and upper solutions technique to get existence of solutions, we extend this method to the case when the pair lacks ordering.
This technique provides a systematic treatment of existence and uniqueness questions for a variety of equations.
