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The Larsen model first order equations and solutions are given below.
The interplay of convex and concave nonlinearities is studied both for second order equations and for problems involving thep-Laplacian.
See also [11 16] for related results regarding second order equations and first order systems, and [17 21] for high-order differential equations and systems.
Complex geometrical optics for first order equations and systems under different regularity assumptions of the coefficients have been constructed in [142, 144, 162, 163, 197].
We discuss in detail the differences between computing these fourth order equations and computing the first and second order PDEs considered in earlier work.
Our method essentially simplifies the examination of the third order equations and what is more, it supports backward the research on the second order delay/advanced differential equations and inequalities.
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Two kinetic models, namely, pseudo first order equation and pseudo second order equations were applied for the adsorption of dyes onto calcined eggshell powder.
The order of this reaction was determined using Lagergren's rate equation and linear pseudo second order equation and was found to be pseudo second order reaction.
The sorption process followed the pseudo-second order equation and the sorption data were fitted well with the Langmuir isotherm equations.
The results obtained after measuring the responses were fitted as a two variable second order equation and the corresponding contour plots were plotted and analyzed.
The data obtained from measurement of properties was fitted as a two variable second order equation and were plotted as contour plots using programme developed in MATLAB v.5.
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