کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843205 908549 2007 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple solutions for strongly resonant periodic systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Multiple solutions for strongly resonant periodic systems
چکیده انگلیسی

We considered a semilinear, second order periodic system. We assumed that the differential operator x→−x″−Axx→−x″−Ax has zero as an eigenvalue and has no negative eigenvalues. Also we imposed a strong resonance condition (with respect to the zero eigenvalue) on the potential function F(t,x)F(t,x). Using the second deformation theorem, we established the existence of at least two nontrivial solutions. To do this we needed to conduct a detailed analysis of the Cerami compactness condition, which is actually of independent interest.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 6, 15 September 2007, Pages 1895–1907
نویسندگان
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