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Existence Theorems for Nonlinear Functional Differential Equations of Neutral Type

Existence Theorems for Nonlinear Functional Differential Equations of Neutral Type Conditions are found upon satisfaction of which the differential equation x ( n ) ( t ) – λ x ( n ) ( t – ॣ ) + f ( t , x ( g ( t ))) = 0 has solutions which are asymptotically equivalent to the solutions of the equation x ( n ) ( t ) – λ x ( n ) ( t – ॣ ) = 0. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Existence Theorems for Nonlinear Functional Differential Equations of Neutral Type

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Publisher
de Gruyter
Copyright
© 1995 Plenum Publishing Corporation
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1995.79
Publisher site
See Article on Publisher Site

Abstract

Conditions are found upon satisfaction of which the differential equation x ( n ) ( t ) – λ x ( n ) ( t – ॣ ) + f ( t , x ( g ( t ))) = 0 has solutions which are asymptotically equivalent to the solutions of the equation x ( n ) ( t ) – λ x ( n ) ( t – ॣ ) = 0.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Feb 1, 1995

Keywords: Neutral functional differential equation; existence of the solution

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