Affiliation:
1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slov'yans'k, Ukraine
Abstract
We consider the boundary-value problem for a linear system of differential equations with matrix p-Laplacian, which is reduced to the traditional differential-algebraic system with an unknown in the form of the vector function. A generalization of various boundary-value problems for differential equations with p-Laplacian, which preserves the features of the solution of such problems, namely, the lack of uniqueness of the solution and, in this case, the dependence of the desired solution on an arbitrary function, is given.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
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