NONNEGATIVE SOLUTIONS IN TWO POINT BOUNDARY VALUE PROBLEMS
Journal Title: Journal of Science And Arts - Year 2012, Vol 18, Issue 1
Abstract
We consider the two point boundary value problem:-u”(x)=λf(u(x)); xЄ(-1,1), u(-1)=0=u(1), where f:[0,∞)->R is a twice differentiable function and λ>0 is a positive parameter. We discuss the cases when f(0)>0(positone) and f(0)<0(semipositone). We obtain exact number of positive solutions in any case.
Authors and Affiliations
MAHMOOD JAAFARI MATEHKOLAEE
Keywords
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