Aslanov, Afgan2025-03-262025-03-2620220026-92551436-508110.1007/s00605-021-01630-92-s2.0-85115646309https://doi.org/10.1007/s00605-021-01630-9https://hdl.handle.net/20.500.14704/1016We 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.eninfo:eu-repo/semantics/closedAccessMonotone positive solutions; Second order nonlinear differential equations; Fixed point theoryArticle2412Q2233199WOS:000698529000001Q2