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Twin solutions of boundary value problems for ordinary differential equations and finite difference equations - MaRDI portal

Twin solutions of boundary value problems for ordinary differential equations and finite difference equations (Q1600415)

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scientific article; zbMATH DE number 1755285
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Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
scientific article; zbMATH DE number 1755285

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    Twin solutions of boundary value problems for ordinary differential equations and finite difference equations (English)
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    13 June 2002
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    The existence of at least two positive solutions is proved to the right focal boundary value problem \[ y''+ f(y)= 0,\quad y(0)= y'(1)= 0. \] The same is also proved to its discrete finite difference analogy. A fixed-point theorem by Avery and Henderson, which is presented without proof, is applied for this goal.
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    twin solutions
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    second-order problems
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    differential and finite difference equations
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