کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844140 908576 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of local solutions of the Kirchhoff–Carrier equation in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence of local solutions of the Kirchhoff–Carrier equation in Banach spaces
چکیده انگلیسی

This paper is concerned with the study of the existence of a local solution of the problem (∗)|Bu″(t)+M(‖u(t)‖Wβ)Au(t)=0,in V′,t>0,u(0)=u0,u′(0)=u1(u0≠0), where VV is a Hilbert space with dual V′V′; AA and BB symmetric linear operators from VV into V′V′ with 〈Av,v〉≥0〈Av,v〉≥0 and 〈Bv,v〉>0,v≠0〈Bv,v〉>0,v≠0; WW a Banach space with VV continuously embedding in WW; ββ a real number with β≥1β≥1; and M(ξ)M(ξ) a function with M(ξ)≥0,M(‖u0‖Wβ)>0 and smooth in a neighborhood of ‖u0‖Wβ.The characterization of the derivative of the nonlinear term of the equation of (∗) and the Arzela–Ascoli Theorem allow us to obtain a solution uu of (∗) defined in [0,T0][0,T0] where T0T0 depends on u0,u1u0,u1 and M(ξ)M(ξ).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 11, 1 June 2008, Pages 3565–3580
نویسندگان
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