Half-linear equations and characteristic properties of the principal solution (Q1763676)
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scientific article; zbMATH DE number 2136542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Half-linear equations and characteristic properties of the principal solution |
scientific article; zbMATH DE number 2136542 |
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Half-linear equations and characteristic properties of the principal solution (English)
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22 February 2005
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The authors study the characteristic properties of the principal solution for the half-linear differential equation \[ (a(t)\Phi(x'))'+b(t)\Phi(x)=0. \] Using the reciprocity principle, it is shown that the solutions of the considered equation have properties similar to those of linear equations. Moreover, the integral characterizations of the principal solutions are presented.
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half-linear differential equation
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principal solution
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reciprocity principle
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