# Positivity conditions and bounds for Green’s functions for higher order two-point BVP

Open Mathematics (2011)

- Volume: 9, Issue: 5, page 1156-1163
- ISSN: 2391-5455

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topMichael Gil’. "Positivity conditions and bounds for Green’s functions for higher order two-point BVP." Open Mathematics 9.5 (2011): 1156-1163. <http://eudml.org/doc/269259>.

@article{MichaelGil2011,

abstract = {We consider a linear nonautonomous higher order ordinary differential equation and establish the positivity conditions and two-sided bounds for Green’s function for the two-point boundary value problem. Applications of the obtained results to nonlinear equations are also discussed.},

author = {Michael Gil’},

journal = {Open Mathematics},

keywords = {Green’s function; Ordinary differential equation; Boundary value problem; Positivity; The Lidstone equation; Green's function; Lidstone boundary value problem},

language = {eng},

number = {5},

pages = {1156-1163},

title = {Positivity conditions and bounds for Green’s functions for higher order two-point BVP},

url = {http://eudml.org/doc/269259},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Michael Gil’

TI - Positivity conditions and bounds for Green’s functions for higher order two-point BVP

JO - Open Mathematics

PY - 2011

VL - 9

IS - 5

SP - 1156

EP - 1163

AB - We consider a linear nonautonomous higher order ordinary differential equation and establish the positivity conditions and two-sided bounds for Green’s function for the two-point boundary value problem. Applications of the obtained results to nonlinear equations are also discussed.

LA - eng

KW - Green’s function; Ordinary differential equation; Boundary value problem; Positivity; The Lidstone equation; Green's function; Lidstone boundary value problem

UR - http://eudml.org/doc/269259

ER -

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