Global bifurcation and a theorem of Tarantello (Q1323064)
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scientific article; zbMATH DE number 566441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global bifurcation and a theorem of Tarantello |
scientific article; zbMATH DE number 566441 |
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Global bifurcation and a theorem of Tarantello (English)
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9 May 1994
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The authors investigate the number of solutions (and their zeros) of the fourth order boundary value problem \(u''''+ cu''= b[(u+ 1)^ +-1]\), \(u(0)= u''(0)= u(r)= u''(r)=0\). To prove their main result, the authors use the method of global bifurcation due to Rabinowitz and the nodal properties of solutions of a second order boundary value problem.
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fourth order boundary value problem
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method of global bifurcation
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nodal properties of solutions
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