کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841090 908499 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence results for some Kirchhoff–Carrier problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence results for some Kirchhoff–Carrier problems
چکیده انگلیسی

Analyzing the viscoelastic problem for small vibrations of elastic strings, Kirchhoff and Carrier proposed two different models of nonlinear partial differential equations. By combining these two models, we deal here with some nonlocal hyperbolic problems that cover a large class of Kirchhoff and Carrier type problems. The existence of local solutions of degenerate problems as well as local and nonlocal solutions of nondegenerate problems is established. The proofs are based on the combination of the Schauder fixed point theorem with some asymptotic method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2904–2921
نویسندگان
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