The interaction of a premixed flame with the flow near the front stagnation point of a body has rightly received considerable attention in combustion theory. Virtually all the investigations so far have been concerned with high strain rates, when the flame lies inside the boundary layer and can be extinguished. By contrast, we consider moderate strain rates, when the flame stands clear of the boundary layer and pushes the incident flow away from the body. The object is to determine this displacement effect, which is much more pronounced than that of the boundary layer.
The oscillations theory of neutral impulsive differential equations is gradually occupying a central place among the theories of oscillations of impulsive differential equations. This could be due to the fact that neutral impulsive differential equations plays fundamental and significant roles in the present drive to further develop information technology. Indeed, neutral differential equations appear in networks containing lossless transmission lines (as in high-speed computers where the lossless transmission lines are used to interconnect switching circuits). In this paper, we study the behaviour of solutions of a certain class of second-order linear neutral differential equations with impulsive constant jumps. This type of equation in practice is always known to have an unbounded non-oscillatory solution. We, therefore, seek sufficient conditions for which all bounded solutions are oscillatory and provide an example to demonstrate the applicability of the abstract result.
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