Conjugacy of half-linear second-order differential equations

Authors: Do scaron lý O.; Elbert A.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 130, Number 3, 4 June 2000 , pp. 517-525(9)

Publisher: Royal Society of Edinburgh

Abstract:

Focal point and conjugacy criteria for the half-linear second-order differential equation

( | y

| ^{p - 1} sgn y prime

)

+ c ( t ) | y | ^{p - 1} sgn y = 0, p > 1

are obtained using the generalized Riccati transformation. An oscillation criterion is given in case when the function c ( t ) is periodic.

Document Type: Research article

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