The upper, coincidence-free counting limit for the single particle counter used in this study was established to be in the order of 104 cm−3.
These classical techniques include some fixed point theorems, the lower and upper solutions and the coincidence degree theory [8 10].
By using various methods and techniques, for example, fixed point theorems, the method of upper and lower solutions, coincidence degree theory, and critical point theory, a series of existence results of periodic solutions have been obtained; we refer the reader to [2 8] and references therein.
Can it really be just a coincidence that the upper echelons of acting and government are dominated by Old Etonians?
There have been many approaches to study solutions of differential equations on time scales, such as the method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on (see [1, 20 29]).
There have been many approaches to study the existence and multiplicity of solutions for dynamic equations on time scales, such as the method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on.
There have been many approaches to study periodic solutions of impulsive differential equations on time scales, such as method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on.
By using various methods and techniques, such as polar coordinates, the method of upper and lower solutions and coincidence degree theory and a series of existence results of nontrivial solutions for the Duffing-type equations such as (1.3) have been obtained; we refer to [5 11] and references therein.
New York City has 94 stepstreets, most of them in neighborhoods in the west Bronx and upper Manhattan whose names are no coincidence: Kingsbridge Heights, University Heights, Morris Heights, Washington Heights.
Fixed point theory, Mawhin's continuation theorem, upper and lower solutions method, and coincidence degree theory are the common tools to study the periodicity theory of differential equations.
They obtain various existence results applying coincidence degree theory and the method of upper and lower solutions.
