کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620750 1339470 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
چکیده انگلیسی

The paper is concerned with the existence of almost periodic solutions to the so-called semilinear thermoelastic plate systems. For that, the strategy consists of seeing these systems as a particular case of the semilinear parabolic evolution equationsequation(*)x′(t)=A(t)x(t)+f(t,x(t)),t∈R, where A(t)A(t) for t∈Rt∈R is a family of sectorial linear operators on a Banach space XX satisfying the so-called Acquistapace–Terreni conditions, and f   is a function defined on a real interpolation space XαXα for α∈(0,1)α∈(0,1). Under some reasonable assumptions it will be shown that (*) has a unique almost periodic solution. We then make use of the previous result to obtain the existence and uniqueness of an almost periodic solution to the thermoelastic plate systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 349, Issue 1, 1 January 2009, Pages 74–84
نویسندگان
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