Displaying 701 – 720 of 966

Showing per page

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

Abdelkarim-Nidal Akdad, Khalil Ezzinbi, Lotti Souden (2015)

Nonautonomous Dynamical Systems

In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.

Regularized cosine existence and uniqueness families for second order abstract Cauchy problems

Jizhou Zhang (2002)

Studia Mathematica

Let C i (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.

Currently displaying 701 – 720 of 966