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Nonoscillation in half-linear differential equations

Publicationes Mathematicae Debrecen, 1996
Necessary conditions are given for the nonoscillation of the solutions of the equation \[ [r(t)|u'(t)|^{p-2}u'(t)]'+c(t)|u(t)|^{p-2}u(t)=0, \] where \(p>1\) is a constant, and \(r(t)>0\).
Li, Horng-Jaan, Yeh, Cheh-Chih
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Maximum Principles and Nonoscillation Intervals

2012
In the previous chapters, as well as in the known monographs on nonoscillation of functional differential equations, nonoscillation was only interpreted as existence of eventually positive solutions. In this and the following two chapters, nonoscillation on an interval is considered.
Ravi P. Agarwal   +3 more
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Nonoscillation in closed reversible chemical systems

Journal of Mathematical Chemistry, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonoscillation Characterizations of Second Order Linear Differential Equations

Mathematische Nachrichten, 2000
The author studies a nonoscillatory feature of the linear differential equation \((pu')'+qu=0\), which is equivalent to the identical feature of any related, similar equation \((PU')'+QU=0\), or the solvability of the corresponding nonlinear differential inequality \(V'+V^2/P+Q\leq 0\).
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A NONOSCILLATION THEOREM FOR SUBLINEAR EMDEN-FOWLER EQUATIONS

Analysis and Applications, 2003
Consider the Emden-Fowler equation (E) : y″ + a(x)|y|γ-1y = 0, where γ > 0 and a(x) is a positive continuous function on (0, ∞). I. T. Kiguradze showed in 1962 that if x(γ+3)/2+δa(x) is nonincreasing for any δ > 0, then equation (E) is nonoscillatory when γ > 1.
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On the nonoscillation of elliptic integrals

Functional Analysis and Its Applications, 1997
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Nonoscillating Kneser Solutions of the Emden–Fawler Equation

Differential Equations, 2000
Here, the Emden-Fowler equation \[ u^{(n)}=(-1)^np(t)|u|^\lambda \text{sgn}u, \quad ...
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Connection Between Nonoscillation and Stability

2020
Leonid Berezansky   +2 more
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Nonoscillation, disconjugacy and integral inequalities

Memoirs of the American Mathematical Society, 1976
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