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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, 2001The 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, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poincaré-Perron problem for half-linear ordinary differential equations
Differential and Integral EquationszbMATH 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, 2023Jiřina Šišoláková
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Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients
Mathematical Methods in the Applied Sciences, 2021Jiřina Šišoláková
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Comparison theorems for oscillation of second-order half-linear differential equations
Acta Mathematica Hungarica, 2006Jitsuro Sugie, Naoto Yamaoka
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Averaging technique and oscillation criterion for linear and half-linear equations
Applied Mathematics Letters, 2019Petr Hasil, Michal Vesely
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