Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals

Donal O'Regan

Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals

Donal O'Regan

Mathematics

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Abstract

The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x(t)) + Phi(t)f(t,x,px) = 0, 0 t +infinity, x(0) = 0, lim(t -+infinity) p(t)x(t) = 0, using the fixed point index, where f may be singular at px = 0.

Original language	English (Ireland)
Number of pages	25
Journal	FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA
Volume	51
Publication status	Published - 1 Apr 2008

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Authors
Yan, B;O'Regan, D;Agarwal, RP

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title = "Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals",

abstract = "The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x(t)) + Phi(t)f(t,x,px) = 0, 0 t +infinity, x(0) = 0, lim(t -+infinity) p(t)x(t) = 0, using the fixed point index, where f may be singular at px = 0.",

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N2 - The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x(t)) + Phi(t)f(t,x,px) = 0, 0 t +infinity, x(0) = 0, lim(t -+infinity) p(t)x(t) = 0, using the fixed point index, where f may be singular at px = 0.

AB - The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x(t)) + Phi(t)f(t,x,px) = 0, 0 t +infinity, x(0) = 0, lim(t -+infinity) p(t)x(t) = 0, using the fixed point index, where f may be singular at px = 0.

M3 - Article

VL - 51

JO - FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA

JF - FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA

ER -

Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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