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

2023, Vol: 31, Issue: 1

31 / 1Current Issue Online First Archive Aims and Scope Abstracting & Indexing Most Accessed Articles Most Downloaded Articles Most Cited Articles

« Previous Article

Research Article

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

	ARTICLE TOOLS
	Abstract
	PDF Fulltext
	How to cite this article
	Citation Tools
	Related Records
	Articles by A. Tahir and H. Habib
	on Google
	on Google Scholar

How to Cite this Article

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: September 15, 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 September 15, 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

Most Viewed Articles

Isolation and Identification of Fungi Associated with the Spoilage of Sweet Orange (Citrus Sinensis) Fruits In Sokoto State
I.Y. Tafinta, K.Shehu, H. Abdulganiyyu, A.M. Rabe and A. Usman
Nig. J. Basic Appl. Sci.. 2013; 21(3): 193-196
» Abstract

Heavy Metals and Physicochemical Properties of Soils in Kano Urban Agricultural Lands
U.M. Dawaki, A.U. Dikko, S.S. Noma and U. Aliyu
Nig. J. Basic Appl. Sci.. 2013; 21(3): 239-246
» Abstract

Study on Biochemical Indices of Liver Function Tests of Albino Rats Supplemented with Three Sources of Vegetable Oils [English]
K.E. Imafidon and L.O. Okunrobo
Nig. J. Basic Appl. Sci.. 2012; 20(2): 105-110
» Abstract

Effect of Sources of Organic Manure on Growth and Yields of Okra (Abelmoschus esculentus L.) in Sokoto, Nigeria [English]
R.A. Tiamiyu, H.G. Ahmed and A.S. Muhammad
Nig. J. Basic Appl. Sci.. 2012; 20(3): 213-216
» Abstract

Optimum Temperature and Thermal Stability of Crude Polyphenol Oxidase from some Common Fruits
AB Bello, MS Sule
Nig. J. Basic Appl. Sci.. 2012; 20(1): 27-31
» Abstract

Most Downloaded

The Swelling Behaviour of Polystyrene (PS)/ Polyvinylacetate (Pvac) Blends in Different Solvents and the Effects of -Cellulose used as Filler on the Electrical Conductivity. [English]
P. A. P. Mamza and B.T. Nwufo
Nig. J. Basic Appl. Sci.. 2008; 16(2): 165 -
» Abstract

Characterization and Classification of Soils on an Agricultural landscape in Dingyadi District, Sokoto State, Nigeria
M.B. Sharu, M. Yakubu, S.S. Noma and A.I.Tsafe
Nig. J. Basic Appl. Sci.. 2013; 21(2): 137 -147
» Abstract

Optimization of Steam Distillation of Essential Oil of Eucalyptus tereticornis by Response Surface Methodology [English]
M.S. Galadima, A.S. Ahmed, A.S. Olawale and I. M. Bugaje
Nig. J. Basic Appl. Sci.. 2012; 20(4): 368-372
» Abstract

Biogas production through Co-digestion of palm oil mill effluent with cow manure
Umar Hayatu Sidik, Firdausi Bin Razali, Sharifah Rafidah Wan Alwi, Fadimtu Maigari
Nig. J. Basic Appl. Sci.. 2013; 21(1): 79-84
» Abstract

Most Cited Articles



About Nigerian Journal of Basic and Applied Sciences Nigerian Journal of Basic and Applied Sciences (NJBAS) publishes original research articles in the field of Agriculture, Biological and Physical Sciences, ... Read more. For best results, please use Internet Explorer or Google Chrome.	Contact Information Nigerian Journal of Basic and Applied Sciences (NJBAS) Usmanu Danfodiyo University, Sokoto P.M.B. 2346, Sokoto, Nigeria email: njbas@udusok.edu.ng; publicationeditor.njbas@udusok.edu.ng Prof. A. A. Aliero Editor-in-Chief +2348034635146 Dr. M. L. Mohammed Publication Editor +2348032303517 Dr. M. E. Sadiq Managing Editor +2349091113143; ;

POLICIES & JOURNAL LINKS

About Nigerian Journal of Basic and Applied Sciences

Contact Information

How to cite this article