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On the half-linear second order differential equations

Acta Mathematica Hungarica, 1987
\textit{I. Bihari} [Publ. Math. Inst. Hungar. Acad. Sci. 2, 159-172 (1958; Zbl 0089.068)] defined the half-linear second order differential equation (1) \((p(t)x')'+q(t)f(x,p(t)x')=0\) for the unknown function \(x=x(t)\) where the functions p(t), q(t) are continuous on some interval \(I=[a,b)\) \((- \infty 0\) if \(x\neq 0\) (consequently \(f(0,y)=0 ...
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A half-linear differential equation and variational problem

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author investigates the variational problem with general boundary conditions whose corresponding Euler-Lagrange equation is the half-linear differential equation \[ (r(t)\Phi(y'))'+q(t)\Phi(y)=0, \] with \(\Phi(u)=|u|^{p-2}u\), \(p>1\) a constant, \(r,q\) real-valued continuous functions defined on a compact interval \(I=[a,b]\), and \(r(t)>0\) on \
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Oscillation and asymptotics for second-order half-linear differential equations

Applied Mathematics and Computation, 2001
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Poincaré-Perron problem for half-linear ordinary differential equations

Differential and Integral Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manabu, Naito, Usami, Hiroyuki
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Oscillation of linear and half-linear difference equations via modified Riccati transformation

Journal of Mathematical Analysis and Applications, 2023
Jiřina Šišoláková
exaly  

Nonoscillation criteria for damped half-linear dynamic equations with mixed derivatives on a time scale

Journal of Mathematical Analysis and Applications, 2022
Kazuki Ishibashi
exaly  

Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients

Mathematical Methods in the Applied Sciences, 2021
Jiřina Šišoláková
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Lyapunov-type inequalities for third-order linear and half-linear difference equations and extensions

Journal of Difference Equations and Applications, 2021
Sougata Dhar, Qingkai Kong
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Comparison theorems for oscillation of second-order half-linear differential equations

Acta Mathematica Hungarica, 2006
Jitsuro Sugie, Naoto Yamaoka
exaly  

Averaging technique and oscillation criterion for linear and half-linear equations

Applied Mathematics Letters, 2019
Petr Hasil, Michal Vesely
exaly  

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