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Nonoscillation and oscillation of second order half-linear difference equations
Applied Mathematics and Computation, 2008Conditions of oscillatory and non-oscillatory behavior for the second order, half linear difference equation of the form \[ \Delta(| \Delta x_{n-1}| ^{r-1}\Delta x_{n-1}) + q_n| x_n| ^{r-1}x_n = 0,\quad r>0,\;q_n\geq 0 \] are given.
Yuan Gong Sun, Fan Wei Meng
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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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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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q‐regular variation and the existence of solutions of half‐linear q‐difference equation
Mathematical Methods in the Applied Sciences, 2021Katarina Djordjevic, Jelena Manojlovic
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Nonoscillatory solutions of half‐linear Euler‐type equation with n terms
Mathematical Methods in the Applied Sciences, 2020Zuzana Pátíková
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