A stability test for non linear systems of ordinary differential equations based on the Gershgorin circles

Danilo Alonso Ortega Bejarano; Eduardo Ibarguen-Mondragon; Enith Amanda Gomez-Hernandez

doi:10.12988/ces.2018.89504

A stability test for non linear systems of ordinary differential equations based on the Gershgorin circles

Contemporary Engineering Sciences ◽

10.12988/ces.2018.89504 ◽

2018 ◽

Vol 11 (91) ◽

pp. 4541-4548 ◽

Cited By ~ 1

Author(s):

Danilo Alonso Ortega Bejarano ◽

Eduardo Ibarguen-Mondragon ◽

Enith Amanda Gomez-Hernandez

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Stability Test ◽

Non Linear ◽

Non Linear Systems

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Application of Homotopy Perturbation Method to Solve Linear and Non-Linear Systems of Ordinary Differential Equations and Differential Equation of Order Three

Journal of Applied Sciences ◽

10.3923/jas.2008.1256.1261 ◽

2008 ◽

Vol 8 (7) ◽

pp. 1256-1261 ◽

Cited By ~ 11

Author(s):

D.D. Ganji . ◽

H. Mirgolbabaei . ◽

Me. Miansari . ◽

Mo. Miansari .

Keyword(s):

Differential Equation ◽

Differential Equations ◽

Perturbation Method ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Homotopy Perturbation Method ◽

Homotopy Perturbation ◽

Non Linear ◽

Non Linear Systems

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Multisummability of complete formal solutions for non-linear systems of Meromorphic ordinary differential equations

Complex Variables Theory and Application An International Journal ◽

10.1080/17476939708815034 ◽

1997 ◽

Vol 34 (1-2) ◽

pp. 19-24 ◽

Cited By ~ 1

Author(s):

Werner Balser

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Non Linear ◽

Non Linear Systems ◽

Formal Solutions

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He’s variational iteration method for solving linear and non-linear systems of ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.153 ◽

2007 ◽

Vol 191 (1) ◽

pp. 287-297 ◽

Cited By ~ 30

Author(s):

J. Biazar ◽

H. Ghazvini

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Iteration Method ◽

Variational Iteration Method ◽

Variational Iteration ◽

Non Linear ◽

Non Linear Systems ◽

He’S Variational Iteration Method

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Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations: part II

BIT Numerical Mathematics ◽

10.1007/s10543-011-0355-z ◽

2011 ◽

Vol 52 (2) ◽

pp. 383-405 ◽

Cited By ~ 3

Author(s):

Marianna Khanamiryan

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Quadrature Methods ◽

Non Linear ◽

Highly Oscillatory ◽

Non Linear Systems

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Solution of singular boundary value problems for non-linear systems of ordinary differential equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(80)90275-x ◽

1980 ◽

Vol 20 (4) ◽

pp. 100-115 ◽

Cited By ~ 3

Author(s):

K. Balla

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Linear Systems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Non Linear ◽

Non Linear Systems

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Parallel algorithms for the solving both of non-linear systems and initial-value problems for systems of ordinary differential equations on multi-core computers with processors Intel Xeon Phi

PROBLEMS IN PROGRAMMING ◽

10.15407/pp2018.02.054 ◽

2018 ◽

pp. 054-060

Author(s):

T.O. Gerasimova ◽

◽

A.N. Nesterenko ◽

Keyword(s):

Differential Equations ◽

Parallel Algorithms ◽

Ordinary Differential Equations ◽

Linear Systems ◽

Initial Value Problems ◽

Xeon Phi ◽

Intel Xeon Phi ◽

Initial Value ◽

Non Linear ◽

Non Linear Systems

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Linearized oscillation for non-linear systems of delay differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00272-2 ◽

2003 ◽

Vol 142 (1) ◽

pp. 17-21 ◽

Cited By ~ 1

Author(s):

H. El-Owaidy ◽

H.Y. Mohamed

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Delay Differential Equations ◽

Non Linear ◽

Non Linear Systems ◽

Delay Differential

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On Stability of Non-Linear Systems of Differential Equations

Selected Papers of Norman Levinson Volume 1 ◽

10.1007/978-1-4612-5341-9_6 ◽

1998 ◽

pp. 51-57

Author(s):

Norman Levinson

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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Singular Perturbations of Non-linear Systems of Differential Equations and an Associated Boundary Layer Equation

Selected Papers of Norman Levinson ◽

10.1007/978-1-4612-5332-7_32 ◽

1998 ◽

pp. 333-356

Author(s):

J. J. Levin ◽

Norman Levinson

Keyword(s):

Boundary Layer ◽

Differential Equations ◽

Linear Systems ◽

Singular Perturbations ◽

Boundary Layer Equation ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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Uniform stability of perturbed non-linear systems of differential equations with time delay

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584673 ◽

1982 ◽

Vol 13 (2) ◽

pp. 23-34 ◽

Cited By ~ 1

Author(s):

Decio Botura Filho ◽

Natalino Adelmo Molfetta

Keyword(s):

Time Delay ◽

Differential Equations ◽

Linear Systems ◽

Uniform Stability ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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