Positive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient
نویسندگان
چکیده
منابع مشابه
Positive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient
where p > , φp(x) = |x|p–x for x = and φp() = , c ∈ Cn(R,R) and c(t + T) ≡ c(t), f is a continuous function defined in R and periodic in t with f (t, ·) = f (t + T , ·) and f (t, ) = , g(t,x) = g(x) + g(t,x), where g : R × (, +∞) → R is an L-Carathéodory function, g(t, ·) = g(t + T , ·), g ∈ C((,∞);R) has a singularity at x = , e : R→ R is a continuous periodic function with ...
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where g(t,x(t)) may be unbounded as x → 0+. Equation (1.1) is of repulsive type (resp. attractive type) if g(t,x(t))→ –∞ (resp. g(t,x(t))→ +∞) as x→ 0+. Using Mawhin’s continuation theorem, the author proved that Eq. (1.1) has at least one T-periodic solution. Zhang’s work has attracted much attention of many specialists in differential equations. In 2014,Wang [2] investigated the existence of ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2017
ISSN: 1687-2770
DOI: 10.1186/s13661-017-0883-9