Asymptotic Periodicity for a Class of Partial Integrodifferential Equations

We study the existence of 𝑆-asymptotically 𝜔-periodic solutions for a class of abstract partial integro-differential equations and for a class of abstract partial integrodifferential equations with delay. Applications to integral equations arising in the study of heat conduction in materials with memory are shown.

[1]  H. Henríquez,et al.  Solutions of second order abstract retarded functional differential equations on the line , 2011 .

[2]  Carlos Lizama,et al.  S‐asymptotically ω‐periodic solutions for semilinear Volterra equations , 2010 .

[3]  Bruno de Andrade,et al.  S-asymptotically ω-periodic and asymptotically ω-periodic solutions to semi-linear Cauchy problems with non-dense domain , 2010 .

[4]  Claudio Cuevas,et al.  Existence of S-asymptotically ω-periodic solutions for fractional order functional integro-differential equations with infinite delay , 2010 .

[5]  Michelle Pierri,et al.  A note on S-asymptotically periodic functions , 2009 .

[6]  Claudio Cuevas,et al.  S-asymptotically omega-periodic solutions of semilinear fractional integro-differential equations , 2009, Appl. Math. Lett..

[7]  H. Henríquez,et al.  EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS , 2008, Bulletin of the Australian Mathematical Society.

[8]  Hernán R. Henríquez,et al.  On S-asymptotically ω-periodic functions on Banach spaces and applications , 2008 .

[9]  Jin Liang,et al.  Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions , 2008 .

[10]  Au,et al.  ASYMPTOTICALLY ALMOST PERIODIC AND ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PARTIAL INTEGRODIFFERENTIAL EQUATIONS , 2006 .

[11]  Haewon Lee,et al.  Nonlinear nonlocal Cauchy problems in Banach spaces , 2005, Appl. Math. Lett..

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

[13]  Jin Liang,et al.  Nonlocal Cauchy problems for semilinear evolution equations , 2002 .

[14]  Sergiu Aizicovici,et al.  Existence results for a class of abstract nonlocal Cauchy problems , 2000 .

[15]  Toshiki Naito,et al.  Functional Differential Equations With Infinite Delay , 1991 .

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

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

[18]  W. Desch,et al.  Some considerations for Linear integrodifferential equations , 1984 .

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

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

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

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

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