Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations
-
J. Blot
blot@univ-paris1.fr
-
D. Pennequin
pennequi@univ-paris1.fr
-
Gaston M. N‘Gu´er´ekata
Gaston.nGuerekata@morgan.edu
Downloads
Abstract
We are concerned in this paper with the partial differential equation
t ∈ â„, where A is a (generally unbounded) linear operator which generates a semigroup of bounded linear operators (T(t))t≥0. Under appropriate sufficient conditions, we prove the existence and uniqueness of a pseudo almost automorphic mild solution to the equation.
Keywords
Similar Articles
- W. Tutschke, Interactions between partial differential equations and generalized analytic functions , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Alka Chadha, Dwijendra N Pandey, Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Marko Kostić, Degenerate k-regularized (C1, C2)-existence and uniqueness families , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- Toka Diagana, Pseudo Almost Periodic Solutions to a Neutral Delay Integral Equation , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- H. M. Srivastava, Fractional calculus and its applications , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Nadjet Abada, Mouffak Benchohra, Hadda Hammouche, Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.











