Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0858.34055
Ait Dads, E.; Ezzinbi, K.
Pseudo almost periodic solutions of some delay differential equations. (English)
[J] J. Math. Anal. Appl. 201, No.3, 840-850 (1996). ISSN 0022-247X

The theory of exponential dichotomy is used successfully to establish the existence of pseudo almost periodic solutions of delay-differential equations of the form $x'(t)=L(t)x_t+f(t)$, $t\ge \sigma$, $x_\sigma=\varphi$, where $(\sigma,\varphi)\in\bbfR\times C([-r,0],\bbfR^n)$, $r>0$, which have pseudo almost periodic coefficients. Also the following theorem is proved: If $\sigma(A)\cap i\bbfR=\phi$ and $f:\bbfR\to\bbfR^n$ is continuous and pseudo almost periodic, where $\sigma(A)$ is the spectrum of the infinitesimal generator $A$, then $x'(t)=Lx_t+f(t)$ has a unique bounded solution which is also pseudo almost periodic.
[N.Parhi (Berhampur)]

MSC 2000:: *34K14 Almost periodic solutions of functional differential equations
34C27 Almost periodic solutions of ODE

Keywords: exponential dichotomy; pseudo almost periodic solutions; delay-differential equations

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]