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Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...
A Grobman-Hartman theorem for differential equations with piecewise constant arguments of mixed type
(European Mathematical SOC, 2018)
We obtain sufficient conditions for the existence of a uniformly and Holder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...
Cauchy matrix for linear almost periodic systems and some consequences
(2011)
A novel method to construct the fundamental matrix for a linear almost periodic system is proposed, provided that the diagonal terms satisfy an average separation condition and the off-diagonal coefficients are L∞- small. ...
Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
(Texas State Univ, 2015)
This work concerns the existence of almost periodic solutions for
certain di erential equations with piecewise constant arguments. The coef-
cients of these equations are almost periodic and the equation can be seen
as ...
Almost automorphic delayed differential equations and Lasota-Wazewska model
(Southwest Missouri State University, 2017)
Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for ...
Weighted convergent and bounded solutions of difference systems
(Elsevier Ltd, 1998)
Using a "summable" dichotomy and fixed-point theorems, we prove the existence of convergent and bounded solutions of nonlinear difference systems. © 1998 Elsevier Science Ltd. All rights reserved.
The ACS Fornax Cluster Survey. IV. Deprojection of the Surface Brightness Profiles of Early-type Galaxies in the Virgo and Fornax Clusters: Investigating the Core/Power-law Dichotomy
(2011)
Although early observations with the Hubble Space Telescope (HST) pointed to a sharp dichotomy among early-type galaxies in terms of the logarithmic slope gamma' of their central surface brightness profiles, several studies ...
Dichotomy between density foliations and suspensions for Anosov actions
(Universidade de São Paulo - USPUniversidade Federal de São Carlos - UFSCarSão Carlos, 2015-10)