Boundedness in Nonlinear Asymmetric Oscillations |
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Authors: | Xiaojing Yang |
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Institution: | Department of Mathematics, Tsinghua University, Beijing, People's Republic of Chinaf1yangxj@mail.tsinghua.edu.cnf1 |
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Abstract: | In this paper, the boundedness of all solutions of the nonlinear equation (?p(x′))′+(p-1)α?p(x+)−β?p(x−)]+f(x)+g(x)=e(t) is discussed, where e(t)∈C7 is 2πp-periodic, f,g are bounded C6 functions, ?p(u)=∣u∣p−2u, p?2,α,β are positive constants, x+=max{x,0},x−=max{−x,0}. |
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