Periodic and subharmonic solutions for a 2nth-order difference equation involving p-Laplacian
نویسندگان
چکیده
منابع مشابه
Existence of periodic solutions for a 2nth-order difference equation involving p-Laplacian∗
By using the critical point theory, the existence of periodic solutions for a 2nth-order nonlinear difference equation containing both advance and retardation involving p-Laplacian is obtained. The main approaches used in our paper are variational techniques and the Saddle Point Theorem. The problem is to solve the existence of periodic solutions for a 2nth-order p-Laplacian difference equation...
متن کاملEXISTENCE OF PERIODIC SOLUTIONS FOR 2nTH-ORDER NONLINEAR p-LAPLACIAN DIFFERENCE EQUATIONS
By using the critical point theory, the existence of periodic solutions for 2nth-order nonlinear pLaplacian difference equations is obtained. The main approaches used in our paper are variational techniques and the Saddle Point theorem. The problem is to solve the existence of periodic solutions for 2nth-order p-Laplacian difference equations. The results obtained successfully generalize and co...
متن کاملExistence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations
where Δ is the forward difference operator Δxn = xn+1 − xn, Δxn = Δ(Δxn), φp(s) is p-Laplacian operator φp(s) = |s|p−2s (1 < p < ∞), and f : Z×R3 → R is a continuous functional in the second, the third, and fourth variables and satisfies f (t +m,u,v,w) = f (t,u,v,w) for a given positive integerm. We may think of (1.1) as being a discrete analogue of the second-order functional differential equa...
متن کاملInfinitely Many Homoclinic Orbits for 2nth-Order Nonlinear Functional Difference Equations Involving the p-Laplacian
and Applied Analysis 3 F2 F t, xn, . . . , x0 W t, x0 − H t, xn, . . . , x0 , for every t ∈ Z, W,H are continuously differentiable in x0 and xn, . . . , x0, respectively. Moreover, there is a bounded set J ⊂ Z such that H t, xn, . . . , x0 ≥ 0; 2.2 F3 There is a constant μ > p such that 0 < μW t, x0 ≤ W ′ 2 t, x0 x0, ∀ t, x0 ∈ Z × R \ {0} ; 2.3 F4 H t, 0, . . . , 0 ≡ 0, and there is a constant ...
متن کاملExistence 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2013
ISSN: 0019-3577
DOI: 10.1016/j.indag.2013.04.003