کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840993 | 908497 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials](/preview/png/840993.png)
چکیده انگلیسی
In this paper, we deal with the existence and multiplicity of homoclinic solutions of the second-order Hamiltonian system ü(t)−L(t)u(t)+∇W(t,u(t))=0, where L(t)L(t) and W(t,x)W(t,x) are neither autonomous nor periodic in tt. Under the assumption that W(t,x)W(t,x) is indefinite sign and subquadratic as |x|→+∞|x|→+∞ and L(t)L(t) is a N×NN×N real symmetric positive definite matrices for all t∈Rt∈R, we establish some existence criteria to guarantee that the above system has at least one or infinitely many homoclinic solutions by using the genus properties in critical theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 6314–6325
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 6314–6325
نویسندگان
X.H. Tang, Xiaoyan Lin,