Linear Differential and Difference Equations with Monotone Solutions

DOI10.2307/2372548zbMath0051.07105OpenAlexW2326538484MaRDI QIDQ5819670

Philip Hartman, Aurel Wintner

Publication date: 1953

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2372548

zbMATH Keywords

ordinary differential equations

Related Items

Disconjugate $n$th order differential equations and principal solutions, Monotone solutions of a class of nonlinear difference equations, Oscillation and nonoscillation criteria for nth-order linear differential equations, Global non-monotonicity of solutions to nonlinear second-order differential equations, A classification of the solutions of a difference equation according to their behavior at infinity, Unnamed Item, Asymptotic decay of solutions of a nonlinear second-order differential equation with deviating argument, On the oscillatory behavior of a third order nonlinear differential equation, A theorem in ordinary differential equations with an application to hyperbolic conservation laws, On the monotonicity property for a certain class of second order differential equations, Bounded and zero convergent solutions of second-order difference equations, On properties of third-order differential equations via comparison principles, Asymptotic properties of solutions to third-order nonlinear neutral differential equations, Oscillation of third-order neutral delay differential equations, On the oscillatory behavior of third order differential equations with a sublinear neutral term, On solutions of disconjugate differential equations, Oscillation and nonoscillation of solutions of second-order difference equations involving generalized difference, Nonoscillatory solutions of a class of nth-order linear differential equations, Unnamed Item, On two theorems by Hartman and Wintner. An application of the Wazewski retract method, Solutions of disconjugate third-order differential equations, Unnamed Item, Unnamed Item, A classification of the solutions of a differential equation according to their asymptotic behaviour, Perturbation of spectra and Krein extensions, Contributi allo studio asintotico dell'equazione \(x(t)+p(t)x(t)=0\), Asymptotic properties of differential equations with deviating argument, Oscillation of Third-Order Differential Equations with Mixed Arguments, Boundedness of solutions of a class of higher order ordinary differential equations, Properties of disconjugate linear differential operators, Nonoscillatory solutions of linear differential equations with deviating arguments, Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations, Oscillation and a Class of Linear Delay Differential Equations