On the asymptotic behavior of positive solutions to nonlinear second-order differential equations
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Wien
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study the existence of solutions of second-order nonlinear differential equations on half-line. It is shown that the second-order nonlinear differential equation x '' = f (t, x) has a positive solution asymptotic to the function phi(t) = t at infinity and satisfies the initial condition x(0) = 0. Existence of solutions is proven under conditions which are considerably weaker than previously known conditions. An application to semilinear Schrodinger equations is also presented.
Açıklama
Anahtar Kelimeler
Monotone positive solutions; Second order nonlinear differential equations; Fixed point theory
Kaynak
Monatshefte Fur Mathematik
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
199
Sayı
2
