On the asymptotic behavior of solutions of an \(n\)-th order equation

DOI10.1007/BF01299949zbMath0138.32302OpenAlexW2312953313MaRDI QIDQ2521988

Paul Waltman

Publication date: 1965

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177309

zbMATH Keywords

ordinary differential equations

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Asymptotic Expansions in a Nonhomogeneous Differential Equation, On a boundary value problem, Asymptotic Behavior of Solutions of Perturbed Linear Systems, Asymptotic behaviour of solutions of some general nonlinear differential equations and integral inequalities, Asymptotic integration of nonlinear systems of ordinary differential equations, Nonlinear Oscillation of a Sublinear Delay Equation of Arbitrary Order, Asymptotic behavior of the solutions of a nonhomogeneous singular equation, Asymptotic expansions of the subdominant solutions of a class of nonhomogeneous differential equations, Asymptotic expansions for the solutions of a class of nonhomogeneous differential equations, On asymptotic behavior of perturbed linear systems, Asymptotic behavior of solutions of \(Lu = g(t,u,\dots ,u^{(k-1)})\)., Asymptotic behavior of solutions of perturbed disconjugate equations, Asymptotic expansions in certain second order nonhomogeneous differential equations

Cites Work

• Properties of solutions of \(u + g(t)u^{2n-1}=0\).
• An oscillation criterion for a nonlinear second order equation
• On second-order non-linear oscillations
• Nonoscillation Theorems For a Class of Nonlinear Differential Equations
• On the Asymptotic Behavior of Solutions of a Nonlinear Equation
• A Generalisation of Bellman's Lemma
• A note on a functional equation