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A Global Existence and Uniqueness Theorem for Ordinary Differential Equations of Generalized Order

Published online by Cambridge University Press:  20 November 2018

Ahmed Z. Al-Abedeen  and
H. L. Arora
Ahmed Z. Al-Abedeen
Affiliation:
Dept. of Mathematics, College of Science, Mosul University, Mosul-Iraq
H. L. Arora
Affiliation:
Dept. of Mathematics, College of Science, Mosul University, Mosul-Iraq
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Abstract

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We extend the Picard's theorem to ordinary differential equation of generalized order α, 0 ≤ α ≤ l, and prove a global existence and uniqueness theorem by using the Banach contraction principle.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 3 , 01 September 1978 , pp. 267 - 271
Copyright
Copyright © Canadian Mathematical Society 1978

References

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