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...

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Bibliographic Details
Main Authors: Indira Mishra, Dhirendra Bahuguna
Format: Article
Language:English
Published: Texas State University 2012-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/212/abstr.html