Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem

A. Tahir and H. Habib

doi:10.4314/njbas.v30i2.9

E-ISSN 2756-4843 | ISSN 0794-5698

2022, Vol: 30, Issue: 2

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Nig. J. Basic Appl. Sci.. 2022; 30(2): 65-73

doi: 10.4314/njbas.v30i2.9

Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem

A. Tahir and H. Habib.

Abstract
Schauder’s fixed point theorem and its applications to delay differential equations (DDEs) cannot be over emphasized. In this work, interesting results regarding the sufficient conditions for nonoscillation of more generalized forms of DDEs are established and provides improvements on the results obtained in the past. However, applying the theorem and the characteristic equation of DDE with constant coefficients helps to determine those conditions. Lastly, to ascertain a claim from an existing literature for a solution that is nonoscillatory and has such larger solutions, comparison theorem is used and the results are found to be true.

Key words: Sufficient conditions, Nonoscillation, Schauder’s fixed point, DDEs

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Pubmed Style

A. Tahir and H. Habib. Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nig. J. Basic Appl. Sci.. 2022; 30(2): 65-73. doi:10.4314/njbas.v30i2.9

Web Style

A. Tahir and H. Habib. Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. https://www.njbas-udus.com/?mno=47074 [Access: February 02, 2023]. doi:10.4314/njbas.v30i2.9

AMA (American Medical Association) Style

A. Tahir and H. Habib. Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nig. J. Basic Appl. Sci.. 2022; 30(2): 65-73. doi:10.4314/njbas.v30i2.9

Vancouver/ICMJE Style

A. Tahir and H. Habib. Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nig. J. Basic Appl. Sci.. (2022), [cited February 02, 2023]; 30(2): 65-73. doi:10.4314/njbas.v30i2.9

Harvard Style

A. Tahir and H. Habib (2022) Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nig. J. Basic Appl. Sci., 30 (2), 65-73. doi:10.4314/njbas.v30i2.9

Turabian Style

A. Tahir and H. Habib. 2022. Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nigerian Journal of Basic and Applied Sciences, 30 (2), 65-73. doi:10.4314/njbas.v30i2.9

Chicago Style

A. Tahir and H. Habib. "Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem." Nigerian Journal of Basic and Applied Sciences 30 (2022), 65-73. doi:10.4314/njbas.v30i2.9

MLA (The Modern Language Association) Style

APA (American Psychological Association) Style

A. Tahir and H. Habib (2022) Sufficient Conditions for Nonoscillation of Delay Differential Equations with Positive and Negative Coefficients using Schauder’s Fixed Point Theorem. Nigerian Journal of Basic and Applied Sciences, 30 (2), 65-73. doi:10.4314/njbas.v30i2.9

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