Bifurcation theory for a class of second order differential equations
We consider positive solutions of the nonlinear two point boundary value problem u‘‘+λf(u)=0, u(-1)=u(1)=0 , f(u)=u(u-a)(u-b)(u-c)(1-u), 0, depending on a parameter λ. Each solution u(x) is even function, and it is uniquely identified by α=u(0). We will prove, using delicate integral estimates that...
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| Format: | Others |
| Language: | English |
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University of Iowa
2011
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| Online Access: | https://ir.uiowa.edu/etd/940 https://ir.uiowa.edu/cgi/viewcontent.cgi?article=2325&context=etd |