In: Tatra Mountains Mathematical Publications, vol. 63, no. 2
Armands Gritsans - Felix Sadyrbaev
Details:
Year, pages: 2015, 115 - 127
Keywords:
nonlinear boundary value problem, variational problem, multiple solutions
About article:
R. Moore and Z. Nehari developed the variational theory for superlinear boundary value problems of the form $x'' = - p(t) |x|2ε x$,
$ x(a)=0=x(b)$, where $ε > 0$ and $p(t)$ is a positive continuous function. They constructed simple example of the equation considered in the interval $[0, b]$ so that the problem had three positive solutions. We show that this example can be extended so that the respective BVP has infinitely many groups of solutions with a presribed number of zeros.
How to cite:
ISO 690:
Gritsans, A., Sadyrbaev, F. 2015. Extension of the example by Moore–Nehari. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 115-127. 1210-3195.
APA:
Gritsans, A., Sadyrbaev, F. (2015). Extension of the example by Moore–Nehari. Tatra Mountains Mathematical Publications, 63(2), 115-127. 1210-3195.