Open AccessEXISTENCE OF NONOSCILLATORY RELATIVELY BOUNDED SOLUTIONS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Author(s) -
Bashar Ahmed Jawad Sharba,
Hussain Ali Mohamad
Publication year - 2019
Publication title -
journal of al-qadisiyah for computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2521-3504
pISSN - 2074-0204
DOI - 10.29304/jqcm.2019.11.2.549
Subject(s) - mathematics , bounded function , fixed point theorem , lebesgue integration , order (exchange) , mathematical analysis , nonlinear system , convergence (economics) , picard–lindelöf theorem , differential equation , physics , economics , quantum mechanics , economic growth , finance
In this paper some sufficient conditions are obtained to insure the existence of positive solutions which is relatively bounded from one side for nonlinear neutral differential equations of second order.Weused the Krasnoselskii’s fixed point theorem and Lebesgue’s dominated convergence theorem to obtain new sufficient conditions for the existence of a Nonoscillatoryone side relatively boundedsolutions.These conditions are more applicable than some known results in the references. Three examples included to illustrate the results obtained.
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