Differential inclusions are generalization of differential equations, therefore all problems considered for differential equations, that is, existence of solutions, continuation of solutions, dependence on initial conditions and parameters, are present in the theory of differential inclusions.
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However, there are few papers concerned with positive solutions for BVP (1) with parameter, especially with the solution's dependence on parameter λ in the existing literature.
During the last two decades, many authors have considered the questions of existence, uniqueness, estimates of solutions, and dependence with respect to initial conditions of the solutions of differential and integral equations of two and three variables (see [15 19] and the references therein).
Due to the impact of highly saline solutions on the measurement of metal concentration, correction factors were determined for Cu and Fe solutions in dependence of salinity.
There are several possible solutions to dependence problems, including intra-study averages, hierarchical/multi-level models, and cluster robust standard errors [12].
On the other hand, there are some papers considering the multiplicity of positive solutions with dependence on the first-order derivative; see, for example, [2, 4, 5, 7, 15, 16, 18, 19, 21 24, 28, 29, 31].
We also give results concerning the uniqueness (to within positive scalar multiples) of solutions (ƒ, g), iterative schemes for approximating solutions, and continuous dependence of solutions on (kα, kβ).
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Some remarks are also given to explain why we do not consider the multiplicity of positive periodic solutions and the dependence results of the positive periodic solution on the parameter when the function g satisfies (1.3) or (1.4).
