کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837980 908353 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic and homoclinic solutions generated by impulses
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Periodic and homoclinic solutions generated by impulses
چکیده انگلیسی

In this paper we study the existence of periodic and homoclinic solutions for a class of second order differential equations of the form q̈+Vq(t,q)=f(t) with impulsive conditions Δq̇(sk)=gk(q(sk)) via variational methods. Our results show that under appropriate conditions such a system possesses at least one non-zero periodic solution and at least one non-zero homoclinic solution and these solutions are generated by impulses when f≡0f≡0. Furthermore, one of the results gives us a lower bound of the number of periodic solutions generated by impulses and this lower bound is determined by the number of impulses of the system in a period of the solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 1, February 2011, Pages 39–51
نویسندگان
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