Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations

Joint Authors

Hu, Zhanrong
Jin, Zhen

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-11-06

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

We will establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation (d/dt)[u(t)+f(t,Bu(t))]=Au(t)+g(t,Cu(t)), t∈ℝ, under some assumptions.

To illustrate our abstract result, a concrete example is given.

American Psychological Association (APA)

Hu, Zhanrong& Jin, Zhen. 2008. Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-469436

Modern Language Association (MLA)

Hu, Zhanrong& Jin, Zhen. Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-13.
https://search.emarefa.net/detail/BIM-469436

American Medical Association (AMA)

Hu, Zhanrong& Jin, Zhen. Existence and Uniqueness of Pseudo Almost Automorphic Mild Solutions to Some Classes of Partial Hyperbolic Evolution Equations. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-469436

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-469436