THEORY AND COMPUTATION FOR MULTIPLE POSITIVE SOLUTIONS OF NON-LOCAL PROBLEMS AT RESONANCE | Zendy

Adela Novac | Zendy; Radu Precup | Zendy

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THEORY AND COMPUTATION FOR MULTIPLE POSITIVE SOLUTIONS OF NON-LOCAL PROBLEMS AT RESONANCE

Author(s) -

Adela Novac,

Radu Precup

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.486

Subject(s) - computation , mathematics , resonance (particle physics) , boundary value problem , mathematical analysis , boundary (topology) , physics , algorithm , particle physics

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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