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In this paper, we establish existence of solutions for the following boundary value problem on the half-line:We establish sufficient conditions for the existence of at least one solution using coincidence degree arguments. An example is provided to validate our result. Mathematics Subject Classification

Doi:10.5901/mjss.2015.v6n4s3p408 The paper introduces the concept of reverse moderation in order to investigate the uniqueness of the coefficients of independent variables and non-commutative nature of interactions in moderated multiple regression (MMR) in hierarchical order. The moderation effect is 0.01and the data used was masked to maintain the integrity of an ongoing research. The research concludes that moderation and its reverse yield different results indicating the uniqueness of the coefficients of the independent variables and the interactions are not commutative. Interactions are one-way. Each case is different as shown by the results of the 20 models used

The aim of this paper is to derive existence results for a second-order singular multipoint boundary value problem at resonance using coincidence degree arguments.

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