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Volume 8, Number 2, 2018, Pages 486-497                                                                DOI:10.11948/2018.486
Theory and computation for multiple positive solutions of non-local problems at resonance
Adela Novac and Radu Precup
Keywords:Nonlinear ordinary differential equation, general boundary condition, positive solution, multiple solutions, numerical computation.
      Resonance non-positone and non-isotone problems for first order differential systems subjected to non-local boundary conditions are reduced to the non-resonance positone and isotone case by changes of variables. This allows us to prove the existence of multiple positive solutions. The theory is illustrated by two examples for which three positive numerical solutions are obtained using the Mathematica shooting program.
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