On the Cauchy problem for a semilinear Newton equation of motion derived from a semilinear Schrödinger equation in homogeneous and isotropic spacetimes

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

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Global existence of the scalar field in de Sitter spacetime
Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes
On the Cauchy problem for an Emden-Fowler equation
Vertical asymptotes of solutions of the Emden-Fowler equation
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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
Critical point theory and Hamiltonian systems
On the solvability of semilinear gradient operator equations
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Strichartz estimates on asymptotically de Sitter spaces
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A nonoscillation theorem for sublinear Emden--Fowler equations
Periodic Solutions of Second Order Dynamical Systems and Isoperimetric Variational Problems

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