Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations
نویسندگان
چکیده
منابع مشابه
Existence 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 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 and multiple solutions for second-order p-Laplacian difference equations
*Correspondence: [email protected] 1Modern Business and Management Department, Guangdong Construction Polytechnic, Guangzhou, 510440, China Full list of author information is available at the end of the article Abstract In this paper, we investigate the solutions of boundary value problems for second-order p-Laplacian difference equations. By using the critical point theory, the existence and mul...
متن کاملEXISTENCE OF HOMOCLINIC SOLUTIONS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH p-LAPLACIAN
Using the variational method and critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation −∆ ( a(k)φp(∆u(k − 1)) ) + b(k)φp(u(k)) = λf(k, u(k))), k ∈ Z, where p > 1 is a real number, φp(t) = |t|p−2t for t ∈ R, λ > 0 is a parameter, a, b : Z→ (0,∞), and f : Z × R → R is continuous in the second variable. Related results in the lite...
متن کاملEXISTENCE OF PERIODIC SOLUTIONS OF 2α-ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS WITH p−LAPLACIAN
The existence of periodic solutions of a higher order nonlinear functional difference equation with p-Laplacian is studied. Sufficient conditions for the existence of periodic solutions of such equation are established. The result is based on Mawhin′s continuation theorem. The methods used to estimate the priori bound on periodic solutions are very technical.
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: Advances in Difference Equations
سال: 2007
ISSN: 1687-1839,1687-1847
DOI: 10.1155/2007/42530