The Existence of Positive Solutions of Singular Initial-Value Problem for Second Order Differential Equations-2
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We consider the singular initial value problem for the second order differential equation. We interested in the existence of positive solutions and proved an easily applicable theorem on the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. The previously established result on the existence of positive solution by Agarwal and O'Regan is not easy for the applications due to very complex definition of a new function and their properties in the statement of their theorem. We used the Lebesgue dominated convergence theorem and the Schauder--Tychonoff theorem in the proof of the main result. The main result can be easily applied for the singular and regular type of problems.
Açıklama
Anahtar Kelimeler
Emden-Fowler equation, Second order equations, Existence, Lane-Emden equation, Fixed points
Kaynak
Communications in Advanced Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
3
Sayı
4
