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Admissibility and Non-Uniform Dichotomy for Differential Systems [PDF]

, 2004
The problem of nonuniform exponential dichotomy of linear differential systems in Banach spaces is discussed. It is established a connection between the admissibility of a pair of certain function spaces which are translations invariant, on one hand ...
Preda, Ciprian I, Dragomir, Sever S
core +1 more source

Existence of non-oscillatory solutions to first-order neutral differential equations

Electronic Journal of Differential Equations, 2016
This article presents sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations having both delay and advance terms, known as mixed equations. Our main tool is the Banach contraction principle.
Tuncay Candan
doaj

Quasicontraction Mappings in Modular Spaces without Δ₂-Condition

Fixed Point Theory and Applications, 2008
As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the -condition.
Khamsi MA
doaj

Three alternative proofs of the Banach contraction principle

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
This study presents three alternative proofs of the Banach contraction principle (BCP). These proofs are derived from proofs of theorems that generalized the BCP, established in the existing studies. By simplifying the proofs of the generalized theorems, the alternative proofs of the BCP are obtained.
openaire +1 more source

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]