On Chaplygin's method for first order neutral differential equation

dc.contributor.author	Kumari, M.
dc.contributor.author	Valaulikar, Y.S.
dc.date.accessioned	2019-11-08T05:44:22Z
dc.date.available	2019-11-08T05:44:22Z
dc.date.issued	2018
dc.identifier.citation	Applications and Applied Mathematics: An International Journal (AAM). 13(2); 2018; 764-780.	en_US
dc.identifier.uri	https://tiny.cc/yidxfz
dc.identifier.uri	http://irgu.unigoa.ac.in/drs/handle/unigoa/5886
dc.description.abstract	In this paper we discuss the existence of a solution of a first order neutral differential equation with piecewise constant argument. We extend the method of Chaplygin's sequence to obtain two sided bounds for the solution. These bounds are in the form of sequences of functions which are solutions of associated linear neutral differential equations with piecewise constant argument. This construction of monotonic sequences of upper and lower functions approximate, with increasing accuracy, the desired solution of the neutral differential equation with piecewise constant argument. Further we show that these sequences converge uniformly and monotonically to the unique solution of the equation.The error estimate obtained is better than the corresponding one for ordinary differential equations.	en_US
dc.publisher	Prairie View A&M University, Texas	en_US
dc.subject	Mathematics	en_US
dc.title	On Chaplygin's method for first order neutral differential equation	en_US
dc.type	Journal article	en_US