On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP (Q920259)
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scientific article; zbMATH DE number 4163290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP |
scientific article; zbMATH DE number 4163290 |
Statements
On the Kolodner-Coffman method for the uniqueness problem of Emden-Fowler BVP (English)
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1990
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The nonlinear second-order ordinary differential equation \[ y''+q(t)f(y(t))=0,\quad -\infty <a<t<b<\infty, \] with Dirichlet and Neumann boundary conditions is investigated. Sturm's comparison theorem and the Kolodner-Coffman method are used to establish conditions on q(t) and f(y) for uniqueness and existence of solutions. The results are applied to the classical Emden-Fowler equation. Finally the application of the algebra manipulation program MAPLE to the calculations is indicated.
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nonlinear second-order ordinary differential equation
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Sturm's comparison theorem
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Kolodner-Coffman method
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Emden-Fowler equation
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algebra manipulation program
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