ISSN 1119-4618
 

Original Research 


Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations

Alhaji Tahir, Abdullahi Muhammad, A.A Abubakar, H. Habib.

Abstract
An existing problem using integral technique to solve second order linear differential equations has been identified in this work. It is however; found that certain restrictions are placed hence making it impossible to use the existing criteria to solve problems for second order equations. A new set of oscillatory criteria is established to generalize all forms of solutions to second order linear ordinary differential equations using integral technique. It is also discovered that certain existing restrictions are removed. It is also found that the solutions to the second order ordinary differential equations are oscillatory under the new set of conditions. An example is constructed to test the applicability of the set conditions.

Key words: Integral Technique, Criteria, Oscillation, Differential Equations


 
ARTICLE TOOLS
Abstract
PDF Fulltext
Print this article Print this Article
How to cite this articleHow to cite this article
Citation Tools
Related Records
 Articles by Alhaji Tahir
Articles by Abdullahi Muhammad
Articles by A.A Abubakar
Articles by H. Habib
on Google
on Google Scholar
Article Statistics
 Viewed: 753
Downloaded: 66
Cited: 0

How to Cite this Article
Pubmed Style

Tahir A, Muhammad A, Abubakar A, Habib H, . Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. JPAS. 2019; 16(1): 43-47. doi:10.5455/sf.26745


Web Style

Tahir A, Muhammad A, Abubakar A, Habib H, . Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. http://www.atbuscienceforum.com/?mno=26745 [Access: April 22, 2019]. doi:10.5455/sf.26745


AMA (American Medical Association) Style

Tahir A, Muhammad A, Abubakar A, Habib H, . Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. JPAS. 2019; 16(1): 43-47. doi:10.5455/sf.26745



Vancouver/ICMJE Style

Tahir A, Muhammad A, Abubakar A, Habib H, . Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. JPAS. (2019), [cited April 22, 2019]; 16(1): 43-47. doi:10.5455/sf.26745



Harvard Style

Tahir, A., Muhammad, . A., Abubakar, . A., Habib, . H. & (2019) Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. JPAS, 16 (1), 43-47. doi:10.5455/sf.26745



Turabian Style

Tahir, Alhaji, Abdullahi Muhammad, A.A Abubakar, H. Habib, and . 2019. Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. Science Forum (Journal of Pure and Applied Sciences), 16 (1), 43-47. doi:10.5455/sf.26745



Chicago Style

Tahir, Alhaji, Abdullahi Muhammad, A.A Abubakar, H. Habib, and . "Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations." Science Forum (Journal of Pure and Applied Sciences) 16 (2019), 43-47. doi:10.5455/sf.26745



MLA (The Modern Language Association) Style

Tahir, Alhaji, Abdullahi Muhammad, A.A Abubakar, H. Habib, and . "Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations." Science Forum (Journal of Pure and Applied Sciences) 16.1 (2019), 43-47. Print. doi:10.5455/sf.26745



APA (American Psychological Association) Style

Tahir, A., Muhammad, . A., Abubakar, . A., Habib, . H. & (2019) Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations. Science Forum (Journal of Pure and Applied Sciences), 16 (1), 43-47. doi:10.5455/sf.26745