Article ID: MTJPAM-D-21-00020

Title: Analytic Solvability of a Class of Symmetric Nonlinear Second Order Differential Equations


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00020; Volume 4 / Issue 3 / Year 2022 (Special Issue), Pages 80-92

Document Type: Research Paper

Author(s): Rabha Waell Ibrahim a

aIEEE: 94086547, Kuala Lumpur, 59200, Malaysia

Received: 18 February 2021, Accepted: 25 September 2021, Published: 27 October 2021.

Corresponding Author: Rabha Waell Ibrahim (Email address: rabhaibrahim@yahoo.com)

Full Text: PDF

Abstract

In this study, we introduce a solvability of special type of symmetric algebraic differential equations (SADEs) in virtue of geometric function theory by considering a symmetric differential operator. The analytic solutions of the SADEs are considered by utilizing the Caratheodory functions joining the subordination concept. A class of Caratheodory functions involving special functions gives the upper bound solution.

Keywords: Analytic function, Subordination, Univalent function, Open unit disk, Differential equations

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