کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4620750 | 1339470 | 2009 | 11 صفحه PDF | دانلود رایگان |
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.
Journal: Journal of Mathematical Analysis and Applications - Volume 349, Issue 1, 1 January 2009, Pages 74–84