Almost automorphic mild solutions of hyperbolic evolution equations with stepanov-like almost automorphic forcing term
This article concerns the existence and uniqueness of almost automorphic solutions to the semilinear parabolic boundary differential equations $$displaylines{ x'(t)=A_mx(t)+f(t,x(t)), quad tin mathbb{R}, cr Lx(t)=phi(t,x(t)), quad tin mathbb{R}, }$$ where $A:=A_m|_{ker L}$ generates a hyp...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2012-11-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2012/212/abstr.html |