کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840428 908480 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniqueness of transverse solutions for reaction–diffusion equations with spatially distributed hysteresis
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Uniqueness of transverse solutions for reaction–diffusion equations with spatially distributed hysteresis
چکیده انگلیسی

The paper deals with reaction–diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. Such problems describe biological processes and chemical reactions in which diffusive and nondiffusive substances interact according to hysteresis law. Under the assumption that the initial data are spatially transverse, we prove a theorem on the uniqueness of solutions. The theorem covers the case of non-Lipschitz hysteresis branches arising in the theory of slow–fast systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 18, December 2012, Pages 6610–6619
نویسندگان
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