Research Article

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

Volume: 2 Number: 1 March 22, 2019
Afgan Aslanov *
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
EN

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

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. [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. [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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 22, 2019

Submission Date

August 30, 2018

Acceptance Date

November 17, 2018

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33434/cams.455990

IZ

https://izlik.org/JA78MY98RF

Cite

RIS / Bibtex
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
1.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):22-26. doi:10.33434/cams.455990
Chicago
Aslanov, Afgan. 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.
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
[1]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, Mar. 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 1, 2019): 22-26. https://doi.org/10.33434/cams.455990.
JAMA
1.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, Mar. 2019, pp. 22-26, doi:10.33434/cams.455990.
Vancouver
1.Afgan 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. 2019 Mar. 1;2(1):22-6. doi:10.33434/cams.455990

Cited By

The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations-2

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