Boundedness in Nonlinear Asymmetric Oscillations

Author： Yang X.  

Publisher： Academic Press

ISSN： 0022-0396

Source： Journal of Differential Equations, Vol.183, Iss.1, 2002-07, pp. : 108-131

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Abstract

In this paper, the boundedness of all solutions of the nonlinear equation (ϕp(x′))′+(p-1)[αϕp(x+)-βϕp(x-)]+f(x)+ g(x)=e(t) is discussed, where e(t)∈C7 is 2πp-periodic, f,g are bounded C6 functions, ϕp(u)=∣u∣p-2u, p2,α,β are positive constants, x+=max{x,0},x-=max{-x,0}. © 2002 Elsevier Science (USA).

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