ASYMPTOTICALLY ALMOST PERIODIC AND ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PARTIAL INTEGRODIFFERENTIAL EQUATIONS

In this note, we establish the existence of asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations.

[1]  Samuel Zaidman,et al.  Abstract differential equations , 1979 .

[2]  Jin Liang,et al.  A note on semilinear abstract functional differential and integrodifferential equations with infinite delay , 2004, Appl. Math. Lett..

[3]  Goong Chen,et al.  Control and Stabilization for the Wave Equation in a Bounded Domain , 1979 .

[4]  I. G. Main,et al.  The Excitation and Propagation of Elastic Waves , 1980 .

[5]  R. K. Miller,et al.  An integrodifferential equation for rigid heat conductors with memory , 1978 .

[6]  Samuel Zaidman,et al.  Almost-periodic functions in abstract spaces , 1985 .

[7]  R. C. MacCamy,et al.  An integro-differential equation with application in heat flow , 1977 .

[8]  J. Prüss,et al.  On linear Volterra equations in Banach spaces , 1985 .

[9]  Maria Meehan,et al.  Periodic and almost periodic solutions of integral equations , 1999, Appl. Math. Comput..

[10]  W. Ruess,et al.  Asymptotic Behaviour of Solutions of Nonlinear Volterra Equations , 2003 .

[11]  J. Prüss.  Evolutionary Integral Equations And Applications , 1993 .

[12]  S. Zaidman.  Abstract differential equations with almost-periodic solutions , 1985 .

[13]  Hongyong Zhao,et al.  Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays , 2004, Appl. Math. Comput..

[14]  John A. Hudson,et al.  The Excitation and Propagation of Elastic Waves , 1980 .

[15]  R. Grimmer.  Resolvent operators for integral equations in a Banach space , 1982 .

[16]  Morton E. Gurtin,et al.  Equipresence and constitutive equations for rigid heat conductors , 1967 .

[17]  Jan Prüss,et al.  Bounded solutions of Volterra equations , 1988 .

[18]  Hongjun Gao,et al.  Almost periodic solution for a model of tumor growth , 2003, Appl. Math. Comput..

[19]  Jin Liang,et al.  Semilinear integrodifferential equations with nonlocal initial conditions , 2004 .

[20]  Goong Chen,et al.  Control and Stabilization for the Wave Equation in a Bounded Domain, Part II , 1979 .

[21]  吉沢 太郎.  Stability theory and the existence of periodic solutions and almost periodic solutions , 1975 .

[22]  Wolfgang Desch,et al.  Wellposedness and wave propagation for a class of integrodifferential equations in Banach space , 1988 .

[23]  Chunhua Feng.  On the existence and uniqueness of almost periodic solutions for delay Logistic equations , 2003, Appl. Math. Comput..