Existence and Infinitely Many of Solutions to a Class of Initial Value Problems for a First Order Differential System

Hai Yan Nie

doi:10.4028/www.scientific.net/AMR.487.576

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 487Existence and Infinitely Many of Solutions to a...

Existence and Infinitely Many of Solutions to a Class of Initial Value Problems for a First Order Differential System

Abstract:

By the Picard iteration and Arzela-Ascoli Theorem, we first derive a sufficient for the existence of positive entire solutions to a class of initial value problems for a first order differential systems, then give all the infinitely many nonnegative entire solutions for the autonomous system.

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Periodical:

Advanced Materials Research (Volume 487)

Pages:

576-581

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.487.576

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Online since:

March 2012

Authors:

Hai Yan Nie

Keywords:

Existence of Entire Solutions, First Order Differential Systems, Infinitely Many Entire Solutions, Initial Value Problems

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References

[1] W. Walter, Ordinary Differential equations [M]. New York: Springer-Verlag, (1998).

Google Scholar

[2] Ding Tongren, the application of qualitative methods of ordinary differential equations [M]. Beijing: Higher Education Press, (2004).

Google Scholar

[3] Ding Tongren, Lee Seung-rule, ordinary differential equations tutorial [M]. Beijing: Higher Education Press, (1991).

Google Scholar

[4] Wang Hailing, Zhang Zhijun, a class of first order ordinary differential equation initial value problem of the infinitely many solutions of [J]. Advanced Mathematics, 2010, 13 (4): 27-28.

Google Scholar