Periodic solutions for a Liénard type p-Laplacian differential equation
نویسندگان
چکیده
منابع مشابه
Existence of periodic solutions for p-Laplacian neutral Rayleigh equation
where φp(x) = |x|p–x for x = and p > ; σ and c are given constants with |c| = ; φp() = , f () = . The conjugate exponent of p is denoted by q, i.e. p + q = . f , g , β , e, and τ are real continuous functions on R; τ , β , and e are periodic with periodic T , T > is a constant; ∫ T e(t)dt = , ∫ T β(t) = . As we know, the p-Laplace Rayleigh equation with a deviating argumen...
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By means of Mawhin’s continuation theorem, we study a kind of third-order p-Laplacian functional differential equation with distributed delay in the form: ( φp(x ′(t)) )′′ = g ( t, ∫ 0 −τ x(t+ s) dα(s) ) + e(t), some criteria to guarantee the existence of periodic solutions are obtained. Keywords—p–Laplacian, Distributed delay, Periodic solution, Mawhin’s continuation theorem
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By using Mawhin–Manásevich continuation theorem, some new sufficient conditions for the existence and uniqueness of periodic solutions of Duffing type p-Laplacian differential equation are established, which are complement of previously known results. © 2007 Elsevier Inc. All rights reserved.
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By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x(t) − cx(t − σ))′)′ + g(t, x(t − τ (t)))= p(t), a result on the existence of periodic solutions is obtained. © 2006 Elsevier Inc. All rights reserved.
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By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian differential equation with multiple deviating arguments (φp(x′(t)))′ + f(x(t))x′(t) + n ∑ j=1 βj(t)g(x(t− γj(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.06.001