Such problems arise in the theory of quasiregular and quasiconformal mapping or in the study of non-Newtonian fluids.
Like the large deviations, the moderate deviation problems arise in the theory of statistical inference quite naturally.
Also, the paper of Agarwal and O'Regan [7] presents existence result for some boundary value problems definite on infinite intervals, which, in particular, includes a problem which arises in the theory of colloids.
And a similar problem arises in the case of Jon Venables.
This problem arose in the study of Bergman space Toeplitz operators and its solution has application to the theory of such operators.
Nonlocal boundary value problems for linear and nonlinear ordinary differential equations are arising in the theory of mathematical physics and some engineering applications [1 3].
The problem arises in active vibration control of structures.
To the various problems arising in the diagnosis process of industrial equipments, rough set theory, fuzzy theory, neural network, gray theory, genetic algorithm, D-S evidence theory, and the information fusion comprehensive diagnosis theory and method models that are integrated on the theories mentioned above are constructed, respectively.
This theory provides us with a framework to understand and solve many problems arising in the field of economics, optimization, transportation, elasticity and applied sciences.
Such problems arise in the study of gas dynamics, fluid mechanics, nuclear physics, chemically reacting systems, atomic calculations, the sources diffusion theory, and the thermal ignition theory (see [1 6]).
