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A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations

Year 2019, Volume: 2 Issue: 1, 22 - 26, 22.03.2019

Afgan Aslanov

https://doi.org/10.33434/cams.455990
Cited By: 1

Abstract

We proved a new theorem on the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. The existence of solutions is proven under considerably weaker than previously known conditions.

Keywords

Second order equations Existence Emden-Fowler equation

References

  • [1] R. P. Agarwal, D. O’Regan, Second order initial value problems of Lane-Emden type, Appl. Math. Lett., 20(12) (2007), 1198-1205.
  • [2] A. Aslanov, A note on the existence of positive solutions of singular initial-value problem for second order differential equations, Electron. J. Qual. Theory Differ. Equ., 84 (2015), 1-10.

Year 2019, Volume: 2 Issue: 1, 22 - 26, 22.03.2019

Afgan Aslanov

https://doi.org/10.33434/cams.455990
Cited By: 1

Abstract

References

  • [1] R. P. Agarwal, D. O’Regan, Second order initial value problems of Lane-Emden type, Appl. Math. Lett., 20(12) (2007), 1198-1205.
  • [2] A. Aslanov, A note on the existence of positive solutions of singular initial-value problem for second order differential equations, Electron. J. Qual. Theory Differ. Equ., 84 (2015), 1-10.
There are 2 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Afgan Aslanov

Publication Date March 22, 2019
Submission Date August 30, 2018
Acceptance Date November 17, 2018
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Aslanov, A. (2019). A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations. Communications in Advanced Mathematical Sciences, 2(1), 22-26. https://doi.org/10.33434/cams.455990
AMA Aslanov A. A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations. Communications in Advanced Mathematical Sciences. March 2019;2(1):22-26. doi:10.33434/cams.455990
Chicago Aslanov, Afgan. “A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations”. Communications in Advanced Mathematical Sciences 2, no. 1 (March 2019): 22-26. https://doi.org/10.33434/cams.455990.
EndNote Aslanov A (March 1, 2019) A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations. Communications in Advanced Mathematical Sciences 2 1 22–26.
IEEE A. Aslanov, “A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations”, Communications in Advanced Mathematical Sciences, vol. 2, no. 1, pp. 22–26, 2019, doi: 10.33434/cams.455990.
ISNAD Aslanov, Afgan. “A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations”. Communications in Advanced Mathematical Sciences 2/1 (March 2019), 22-26. https://doi.org/10.33434/cams.455990.
JAMA Aslanov A. A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations. Communications in Advanced Mathematical Sciences. 2019;2:22–26.
MLA Aslanov, Afgan. “A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations”. Communications in Advanced Mathematical Sciences, vol. 2, no. 1, 2019, pp. 22-26, doi:10.33434/cams.455990.
Vancouver Aslanov A. A New Theorem on The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations. Communications in Advanced Mathematical Sciences. 2019;2(1):22-6.

Cited By

The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations-2
Communications in Advanced Mathematical Sciences
https://doi.org/10.33434/cams.774450
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