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Gronwall-Bellman inequality [1, 2] and Bihari inequality [3] provided important devices in the study of existence, uniqueness, boundedness, oscillation, stability, invariant manifolds and other qualitative properties of solutions to differential equations, integral equations and integro-differential equations.
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Integral inequalities that give explicit bounds on unknown functions provide a very useful and important device in the study of many qualitative as well as quantitative properties of solutions of partial differential equations, integral equations, and integrodifferential equation.
The main application of the integral inequalities is that they provide an explicit bounds of the unknown functions, which are a very useful and important device in the study of many qualitative as well as quantitative properties of solutions of nonlinear differential equations.
One of his conclusions, significant for his later work, is that '[t]here is everything to be said … for the … view that we may not only use devices developed in the study of quantity to throw light on modality, but also vice versa' (p.747).
The growth method presented here may be suitable for other antimonide nanowire growth, and the axial InAs/GaSb heterostructure nanowires may have strong potential for use in the fabrication of novel nanowire-based devices and in the study of fundamental quantum physics.
Another example of a microfluidic device utilized in the study of epithelial coculture with bacteria by Hong et al. investigated the use of bacteria in targeting cancer.
Therefore, the combination of electrochemical degradation methods, free-standing single-walled carbon nanotube filters and operando spectroelectrochemical techniques makes this outstanding device very interesting in the study of different molecules.
Owing to this versatility, aluminium has seen continued use in silicon-based research, including recent quantum dot devices for the study of quantum transport in silicon towards the goal of solid-state quantum computation [5, 6].
Rapid progress has been made in high-performance graphene devices for the study of new physical phenomena1,2,3,4,5.
The intent was to develop more powerful, efficient, and useful laser devices and to apply these devices to the study of fundamental physical processes in nature.
The availability of highly controlled deposition techniques and methods for nanometer-scale lithographic and device fabrications stimulated interest in the study of quantum size effects in the electronic and optical properties of nanostructures, ranging from one-dimensionally confined super lattices to three-dimensionally confined quantum dots.
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