Analysis of some neutral delay differential equations


The paper is devoted to the study of the neutral differential equation with delay \(x^{\prime}(t)=f(t,x\left( t\right) ,(\theta \left(t\right) ),x^{\prime}(\theta \left( t\right) )).\) Our analysis is concerned with existence, uniqueness and monotone iterative approximation of the nondecreasing global solutions of the initial-value problem. We use fixed point theorems (Schauder, Krasnoselskii, Leray-Schauder) and monotone iterative techniques.


Radu Precup
Babeş-Bolyai University, Cluj-Napoca, Romania


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R. Precup, Analysis of some neutral delay differential equations, Studia Univ. Babes-Bolyai Math. 44, no.3 (1999), 67-84


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Studia Universitatis Babeş-Bolyai Mathematica

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Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca

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