Existence of homoclinic orbit for second-order nonlinear difference equation
نویسندگان
چکیده
منابع مشابه
Existence of Homoclinic Orbit for Second-order Nonlinear Difference Equation
By using the Mountain Pass Theorem, we establish some existence criteria to guarantee the second-order nonlinear difference equation ∆ [p(t)∆u(t − 1)] + f(t, u(t)) = 0 has at least one homoclinic orbit, where t ∈ Z, u ∈ R.
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* Correspondence: lds1010@sina. com School of Economics and Management, University of South China, Hengyang, Hunan 421001, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2010
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2010.1.72