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

Adela Novac; Radu Precup

doi:10.11948/2018.486

2018 Volume 8 Issue 2

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Adela Novac, Radu Precup. THEORY AND COMPUTATION FOR MULTIPLE POSITIVE SOLUTIONS OF NON-LOCAL PROBLEMS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 486-497. doi: 10.11948/2018.486

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Adela Novac, Radu Precup. THEORY AND COMPUTATION FOR MULTIPLE POSITIVE SOLUTIONS OF NON-LOCAL PROBLEMS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 486-497. doi: 10.11948/2018.486

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

Adela Novac¹,
Radu Precup²

1 Department of Mathematics, Technical University, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania;
2 Department of Mathematics, Babeş-Bolyai University,;
1 M. Kogălniceanu Street, 400084 Cluj-Napoca, Romania

Abstract

Abstract

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.
- Nonlinear ordinary differential equation /
- general boundary condition /
- positive solution /
- multiple solutions /
- numerical computation
MSC: 34B15;34B10;34C25;65L10

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References

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