Calculation of the green’s function of boundary value problems for linear ordinary differential equations

Eastern-European Journal of Enterprise Technologies ◽

10.15587/1729-4061.2020.193470 ◽

2020 ◽

Vol 1 (4 (103)) ◽

pp. 43-52

Author(s):

Irina Belyaeva ◽

Nikalay Chekanov ◽

Natalia Chekanova ◽

Igor Kirichenko ◽

Oleg Ptashny ◽

...

Keyword(s):

Differential Equations ◽

Green’S Function ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Green's Function ◽

Boundary Value ◽

Linear Ordinary Differential Equations

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Positive properties of Green's function for three-point boundary value problems of nonlinear fractional differential equations and its applications

Applicable Analysis ◽

10.1080/00036811.2011.629608 ◽

2012 ◽

Vol 91 (2) ◽

pp. 323-343 ◽

Author(s):

Xiaojie Xu ◽

Daqing Jiang ◽

Weimin Hu ◽

Donal O'Regan ◽

Ravi P. Agarwal

Keyword(s):

Differential Equations ◽

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Fractional Differential Equations ◽

Boundary Value ◽

Point Boundary ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Positive Properties

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On certain boundary value problems for second-order linear ordinary differential equations with singularities

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(84)90107-0 ◽

1984 ◽

Vol 101 (2) ◽

pp. 325-347 ◽

Author(s):

I.T. Kiguradze ◽

A.G. Lomtatidze

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Order Linear ◽

Linear Ordinary Differential Equations

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The positive properties of Green’s function for three point boundary value problems of nonlinear fractional differential equations and its applications

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.08.032 ◽

2012 ◽

Vol 17 (4) ◽

pp. 1555-1565 ◽

Author(s):

Xiaojie Xu ◽

Xiangli Fei

Keyword(s):

Differential Equations ◽

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Fractional Differential Equations ◽

Boundary Value ◽

Point Boundary ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Positive Properties

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Two new compact finite-difference schemes for the solution of boundary value problems in second-order non-linear ordinary differential equations, using non-uniform grids

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2008-81-201 ◽

2008 ◽

Vol 8 (1-2) ◽

pp. 3-18

Author(s):

L.K. Bieniasz

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Linear Ordinary Differential Equations ◽

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Quantization and a Green’s Function for Systems of Linear Ordinary Differential Equations

Quantum Science ◽

10.1007/978-1-4757-1659-7_17 ◽

1976 ◽

pp. 277-294 ◽

Author(s):

Harold V. McIntosh

Keyword(s):

Differential Equations ◽

Green’S Function ◽

Ordinary Differential Equations ◽

Green's Function ◽

Linear Ordinary Differential Equations

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Green’s function for Sturm-Liouville-type boundary value problems of fractional order impulsive differential equations and its application

Boundary Value Problems ◽

10.1186/1687-2770-2014-69 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Jie Zhou ◽

Meiqiang Feng

Keyword(s):

Differential Equations ◽

Green’S Function ◽

Boundary Value Problems ◽

Fractional Order ◽

Green's Function ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Liouville Type ◽

Sturm Liouville ◽

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Errata: ‘‘On the boundary value problems of linear ordinary differential equations of second order” [Trans.\ Amer.\ Math.\ Soc. {\bf 7} (1906), no. 3, 337–360; 1500753]

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1912-1500489-x ◽

1912 ◽

Vol 13 (4) ◽

pp. 516-516

Author(s):

Max Mason

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Linear Ordinary Differential Equations

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Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(67)90124-2 ◽

1967 ◽

Vol 19 (2) ◽

pp. 291-308 ◽

Author(s):

R.E O'Malley

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Singular Perturbations ◽

Boundary Value ◽

Linear Ordinary Differential Equations ◽

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On the numerical solution of boundary value problems for linear ordinary differential equations

Communications of the ACM ◽

10.1145/363872.363896 ◽

1964 ◽

Vol 7 (1) ◽

pp. 22-23 ◽

Author(s):

James T. Day ◽

George W. Collins

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Linear Ordinary Differential Equations

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On multi-point boundary value problems for linear ordinary differential equations with singularities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.05.002 ◽

2004 ◽

Vol 297 (1) ◽

pp. 131-151 ◽

Author(s):

R.P Agarwal ◽

I Kiguradze

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Linear Ordinary Differential Equations

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