Existence of homoclinic orbits for unbounded time-dependent p -Laplacian systems
نویسندگان
چکیده
منابع مشابه
Existence of Homoclinic Orbits for a Class of Asymptotically p-Linear Difference Systems with p-Laplacian
and Applied Analysis 3 W4 W̃ n, x ∇W n, x , x − pW n, x , lim |x|→∞ W̃ n, x ∞ uniformly for n ∈ Z, 1.7 and for any fixed 0 < c1 < c2 < ∞, inf n∈Z, c1≤|x|≤c2 W̃ n, x |x| > 0. 1.8 Then problem 1.1 has at least one nontrivial homoclinic solution. Remark 1.2. The function W n, x in this paper is asymptotically p-linear at infinity. The behavior of the gradient of W n, x at infinity is like that of a f...
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*Correspondence: [email protected] College of Science, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China Abstract By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form (| u(n – 1)|p–2 u(n – 1)) – a(n)|u(n)|q–pu(n) +∇W(n,u(n)) = 0 have at least one or infinitely many homoclinic solutions,...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2016
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.88