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The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method

โœ Scribed by Peter Somora


Book ID
111492882
Publisher
SP Versita
Year
2007
Tongue
English
Weight
234 KB
Volume
57
Category
Article
ISSN
0139-9918

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โœฆ Synopsis


We consider a second order nonlinear differential equation with homogeneous Dirichlet boundary conditions. Using the root functions method we prove a relation between the number of zeros of some variational solutions and the number of solutions of our boundary value problem which follows into a lower bound of the number of its solutions.


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